Browse Math Statement problems Studdy Solved!

Problem 19101

expand $g(x)=(x-3)^{4}$

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Problem 19102

10) $\frac{(x-6)^{2}}{49}-\frac{(y-9)^{2}}{121}=1$ A) Vertices: $(17,9),(-5,9)$
Foci: $(6+\sqrt{170}, 9),(6-\sqrt{170}, 9)$ Opens leftright B) Vertices: $(-9,17),(-9,-5)$
Foci: $(-9,6+\sqrt{170}),(-9,6-\sqrt{170})$ Opens upldown C) Vertices: $(13,9),(-1,9)$
Foci: $(6+\sqrt{170}, 9),(6-\sqrt{170}, 9)$ Opens leftright D) Vertices: $(6,16),(6,2)$
Foci: $(6,9+\sqrt{170}),(6,9-\sqrt{170})$

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Problem 19103

Polynomials and Factoring Factoring out a monomial from a polynomlal: Univariate
Factor $16 w+20 w^{2}$ . $\square$

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Problem 19104

Solve the following polynomial using synthetic division. $\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}$

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Problem 19105

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=x^{3}-16$ The function is one-to-one. The function is not one-to-one.

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Problem 19106

$\sin \left(30^{\circ}\right)=\frac{1}{2}, \tan \left(30^{\circ}\right)=\frac{\sqrt{3}}{3}$ (a) $\csc \left(30^{\circ}\right)$ $\square$ (b) $\cot \left(60^{\circ}\right)$ $\square$ (c) $\cos \left(30^{\circ}\right)$ $\square$ (d) $\cot \left(30^{\circ}\right)$ $\square$ Need Help? Read It Watch It Submit Answer

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Problem 19107

$=24$ 12) Vertices: $(6,14),(6,-10)$ 2.
Foci: $(6,15),(6,-11)$ A) $\frac{(y-2)^{2}}{144}-\frac{(x-6)^{2}}{25}=1$ B) $\frac{(y-2)^{2}}{144}-\frac{(x+6)^{2}}{25}=1$ $4=25$ c) $\frac{(y+2)^{2}}{25}-\frac{(x-6)^{2}}{144}=1$ D) $\frac{(y-2)^{2}}{25}-\frac{(x-6)^{2}}{144}=1$

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Problem 19108

$3-4$ . State the answer as an ordered pair $(x, y)$ , if possible.
3. Solve $\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.$ by graphing.

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Problem 19109

Use the properties of logarithms to rewrite the expression $\log _{5}\left(x^{9}\right)$ . Write your answer without any powers. $\log _{5}\left(x^{9}\right)=$
Enter your next step here $\square$

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Problem 19110

Solve the following quadratic equation for all values of $x$ in simplest form. $6+3 x^{2}=18$
Answer Attempt 1 out of 2 † Additional Solution No Solution $x=$ $\square$ Submit Answer

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Problem 19111

5. Prove the following trigonometric identity. (4 marks) $\begin{array}{c} \frac{\cos 2 x \sec x}{1-\tan ^{2} x}=\cos x \\ \cos ^{2} \theta-\sin ^{2} \theta\left(\frac{1}{\cos x}\right) \end{array}$

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Problem 19112

Problème 3. Soit $f(x)=\sqrt{3 x+1}$ . (a) Trouver la dérivée de $f(x)$ à l'aide de la définition de la dérivée par une limite. Aucun point ne sera attribué pour une réponse utilisant les règles de dérivation. (b) Trouver le(s) point(s) de la courbe $y=\sqrt{3 x+1}$ où la tangente est parallèle à la droite d'équation $3 x-8 y=5$ .

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Problem 19113

3. $f(x)=\frac{1}{\sqrt{1-x^{2}}}$

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Problem 19114

Find a formula for the inverse of the function. $\begin{array}{l} f(x)=\sqrt{x^{2}+2 x}, x>0 . \\ f^{-1}(x)= \end{array}$

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Problem 19115

10. Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

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Problem 19116

What is the leading coefficient? $2 x^{6}-3 x^{5}+15 x^{4}$
15 1 Answer $\triangle 15$ 20
6 2 Dowe G kahoot.it Game PIN: 7617209

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Problem 19117

7. Simplify the following: $3 \sin (2 x) \cos (2 x)$ a. $1.5 \sin (2 x)$ b. $6 \sin (4 x)$ c. $1.5 \sin (4 x)$

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Problem 19118

Solve for $h$ . $h+3>9$

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Problem 19119

Question 6
Reputable scientists know that the average surface temperature of the world has been rising steadily. One model found using sets of temperature data is: $T=0.02 t+15.0$
Where T is temperature in ${ }^{\circ} C$ and t is years since 1950. (a) Describe what the slope and T-intercept represent. (b) Use the equation to predict the average globle surface temperature in 2050. $\square$ ${ }^{\circ} \mathrm{C}$
Question Help: Message instructor Post to forum Submit Question

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Problem 19120

7 Si $f(x)=x^{2}$ , ¿qué función es el resultado de desplazar $f(x) 3$ unidades hacia la izquierda y 2 unidades hacia abajo? (1) $g(x)=(x+2)^{2}-3$ (3) $j(x)=(x+3)^{2}-2$ (2) $h(x)=(x-2)^{2}+3$ (4) $k(x)=(x-3)^{2}+2$
8 La ecuación utilizada para calcular la velocidad de un objeto es la siguiente: $v^{2}=u^{2}+2 a s$ , donde $u$ es la velocidad inicial, $v$ es la velocidad final, $a$ es la aceleración del objeto y $s$ es la distancia recorrida. Cuando se resuelve esta ecuación para $a$ , el resultado es (1) $a=\frac{v^{2} u^{2}}{2 s}$ (3) $a=v^{2}-u^{2}-2 s$ (2) $a=\frac{v^{2}-u^{2}}{2 s}$ (4) $a=2 s\left(v^{2}-u^{2}\right)$
9 La clase de Matemáticas de la Sra. Smith hizo una encuestó a los estudiantes para determinar sus sabores favoritos de helado. Los resultados se muestran en la siguiente tabla. \begin{tabular}{|c|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Chocolate & Vainilla & Combinado \\ \hline 11. $^{\circ}$ grado & 42 & 27 & 45 \\ \hline 12. $^{\circ}$ grado & 67 & 42 & 21 \\ \hline \end{tabular}
De los estudiantes que prefieren chocolate, Aproximadamente, ¿qué porcentaje era de $12 .^{\circ}$ grado? (1) 27.5 (3) 51.5 (2) 44.7 (4) 61.5

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Problem 19121

16. $\sqrt[3]{x-12}=3$
17. $\sqrt[4]{5 x+6}-9=0$
18. $\sqrt{1-3 x}-6=4$
19. $3 x^{\frac{2}{3}}=75$

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Problem 19122

2. Write each fraction as a decimal. $\frac{1}{4}=\quad \frac{1}{5}=$

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Problem 19123

Mathematics 30-2
14. Write $\log _{5} a+\log _{5} b-\left(\log _{5} c+\log _{5} d\right)$ as a single logarithm. A) $\log _{5} \frac{a}{b c d}$ B) $\log _{5} \frac{a b}{c d}$ C) $\log _{5} \frac{a b c}{d}$ D) $\log _{5} a b c d$

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Problem 19124

Factor completely $4 x^{5}-20 x^{4}-36 x^{3}$ . $4\left(x^{5}-5 x^{4}-9 x^{3}\right)$ $x^{3}\left(4 x^{2}-20 x-36\right)$ $x^{2}-5 x-9$ $4 x^{3}\left(x^{2}-5 x-9\right)$

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Problem 19125

Find $\lim _{x \rightarrow 2^{-}} \sin ^{-1}\left(\frac{x}{2}\right)$ $\lim _{x \rightarrow 2^{-}} \sin ^{-1}\left(\frac{x}{2}\right)=\square$ (Type an exact answer, using $\pi$ as needed.)

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Problem 19126

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro $\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1$ w window) $x=$ $\square$

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Problem 19127

Warm Up Solve the following radical equation for $x$ . $8 \sqrt{2 x+3}-10=30$

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Problem 19128

10. $f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}$
Find the domain of the function.

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Problem 19129

5 Résolvez les équations suivantes. a) $-5 x^{2}+160 x-1200=0$

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Problem 19130

Find the derivative of the function $f(x) = (9x^6 + 9x)^{15}$ .

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Problem 19131

Consider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a Select an answer Question Help: Message in:
Select an answer straight line that slopes downward Submit Part Jump to Ans parabola that opens downward straight line that slopes upward parabola that opens upward

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Problem 19132

Expand the function $f(x) = \frac{1}{1-x^4}$ in a power series with the center $c=0$ and determine the interval of convergence.

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Problem 19133

onsider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a parabola that opens upward $\checkmark^{\checkmark} 0^{s}$ $\square$ 0
The vertex of this graph is its lowest $\checkmark \checkmark$ point, so this function has a minimum $0^{8}$ value. $\square$ Part 2 of 4 $\qquad$ State the vertex $(x, y)$ of this parabola. If necessary, round each value to three decimal places. $\begin{array}{l} 2.676 \\ 0^{s} \\ \text { - }) \end{array}$ $-9.878$ Part 4 of 4
Fill in the blanks to interpret the vertex. If necessary, round each value to three decimal places. The minimum value of this function is $\square$ , which occurs at an $x$ value of $\square$ .

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Problem 19134

Are the systems of equations equivalent? Explain. $\begin{array}{rlrl} 2 x+4 y & =3 & 6 x+12 y & =9 \\ 6 x+3 y & =17 & 6 x+3 y & =17 \end{array}$
The first equation in the second system $\square$ in the first system, and the second equation in the second system $\square$ in the first system. Thus, the systems $\square$ equivalent.

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Problem 19135

Find all excluded values for the expression. That is, find all values of $w$ for which the expression is undefined. $\frac{w+6}{w+7}$
If there is more than one value, separate them with commas. $w=$ $\square$

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Problem 19136

This is a multi-part problem. If $F(t)=\frac{t^{3}}{3}+4 t^{2}-t$ , find $F^{\prime}(t)$ . $F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=$ $\square$ Preview My Answers Submit Answers Show me another

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Problem 19137

Determine whether the ordered pair is a solution to the inequality. $5 x+6 y>30$ (a) $(-1,2)$ (b) $(4,-1)$ (c) $(6,0)$

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Problem 19138

Use properties of rational numbers to multiply the following. $-\frac{6}{5} \times 3.875$ A. $\frac{107}{40}$ B. $-\frac{24}{5}$ C. $-\frac{93}{20}$ D. $-\frac{155}{48}$

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Problem 19139

$\frac{\frac{x}{x+3}}{1+\frac{1}{x+3}}$

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Problem 19140

4. If $f(x)=\ln (\ln x)$ , then $f^{\prime}(x)=$

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Problem 19141

SECTION 3.4 Exercises perercises 1-12, assuming $x$ and $y$ are positive, use properties of 1 /nulup les of logarithms.
1. $\ln 8 x$
2. $\ln 9 y$
3. $10 \frac{3}{x}$
4. $\log \frac{2}{y}$
5. $\log _{2} y^{5}$
6. $\log _{2} x^{-2}$
7. $\log x^{3} y^{2}$
8. $\log x y^{3}$
9. $\ln \frac{x^{2}}{y^{3}}$
10. $\log 1000 x^{4}$
11. $\log \sqrt[4]{\frac{x}{y}}$
12. $\ln \frac{\sqrt[3]{x}}{\sqrt[3]{y}}$

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Problem 19142

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=|x-1|$ The function is one-to-one. The function is not one-to-one.

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Problem 19143

$\int \frac{e^{x}-7 x}{5} d x=$

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Problem 19144

Using the substitution $3 \sin (u)=x$ , we obtain $\int x^{2} \sqrt{9-x^{2}} d x=\int K \sin ^{m} u \cos ^{n} u d u$ where the constants $K=$ $\square$ $\square$ $m=$ and $n=$ $\square$ .
Using this result and your knowledge about indefinite integrals of powers of $\sin u$ and $\cos u$ , find the indefinite integral $\int x^{2} \sqrt{9-x^{2}} d x=\square+C$
Note: Your answer should be in terms of $x$ , not $u$ .

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Problem 19145

Evaluate. $\int_{1}^{4}\left(5 x^{3}+8\right) d x$

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Problem 19146

$h(x)=x^{3}-6 x^{2}+15$ relative minimum $(x, y)=($ $\square$ ) relative maximum $(x, y)=($ $\square$

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Problem 19147

Math and Physics Power and quotient rules with positive exponents
Simplify. $\frac{\left(3 b^{2}\right)^{2}}{\left(2 b^{3}\right)^{3}}$
Write your answer using only positive exponents.

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Problem 19148

Multiple Choice 1 point Which of the following describes the following arrow notation? $f(x) \rightarrow \infty$ As $x$ approaches infinity, $x$ increases without bound. As the output approaches infinity, the output increases without bound. As $x$ approaches negative infinity, $x$ decreases without bound. As the output approaches negative infinity, the output decreases without bound.

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Problem 19149

An electric current, $I$ , in amps, is given by $I=\cos (w t)+\sqrt{3} \sin (w t),$ where $w \neq 0$ is a constant. What are the maximum and minimum values of $I$ ? Minimum value of $I$ : $\square$ amp
Maximum value of $I$ : $\square$ amp
Note: You can earn partial credit on this problem.

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Problem 19150

Make $x$ the subject of $x-9=r$

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Problem 19151

Eng. Math, 2 $y=\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{n+1}}{(n+1)}$ is asolution for D.E $(x+1)^{2} y^{\prime \prime}+(x+1) y^{\prime}=0$ Select one: a) True b) False

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Problem 19152

Make $x$ the subject of $5 x=r$

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Problem 19153

Find the average value of the function $f(x)=x^{2}-3$ on $[0,3]$

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Problem 19154

Rearrange $g=f r$ to make $f$ the subject.

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Problem 19155

Use the function below to answer the following questions. $n(x)=-e^{x}+3$ (a) Use transformations of the graph of $y=e^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Part: $0 / 3$
Part 1 of 3

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Problem 19156

Rearrange $k=d w$ to make $d$ the subject.

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Problem 19157

Rearrange $a k-y=c$ to make $k$ the subject.

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Problem 19158

Use the function below to answer the following questions. $m(x)=5^{x+4}$ (a) Use transformations of the graph of $y=5^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Part: $0 / 3$

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Problem 19159

Make $k$ the subject of $d=\frac{k+m}{2}$

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Problem 19160

Which of the following is equivalent to $i^{26}$ ? -1 $-i$ 1 i

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Problem 19161

Directions: Solve, graph, and write the solution to each inequality in interval notation.
1. $|b+3| \geq 7$
Interval Notation:
3. $|5 k+4| \geq 36$
Interval Notation:
5. $\left|\frac{n}{7}\right|-6>-5$
Interval Notation:
2. $|-2 v-4|<8$
Interval Notation:
4. $|3-9 y| \leq 33$
Interval Notation:
6. $\frac{|5+3 w|}{-2} \leq-1$
Interval Notation: Gina Wilson (All Things Algebra), 201

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Problem 19162

$x^{2}-2 x-8 \leq 0$

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Problem 19163

\begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{ EXAMEN PARCIAL 3 } & \\ \hline Materia & Cálculo Diferencial & \\ \hline Semestre & 2 \\ \hline Carrera & Tecnología en Obras Civiles & \\ \hline \end{tabular}
1. Resuelva las siguientes derivadas usando la Regla de la cadena a. $h(t)=2 \cos (1-2 x)^{2}$ b. $g(x)=\frac{x}{\sqrt{x^{4}+4}}$ c. $y=-\frac{5 x}{(x+3)^{3}}$
2. Resuelva las siguientes derivadas Implícitas a. $x \sqrt{y+1}=x y+1$ b. $\sqrt{5 x y}+2 y=x^{2} y+x y^{3}$ c. $3 y^{3} x^{2}+4 x^{2} y^{3}-\frac{3 y^{2}}{x}=12 x^{2}+\cos (x y)$ d. $9 x^{2}=\frac{\sqrt{x}}{\sqrt{y}}$
3. Resuelva las siguientes derivadas usando una Razón de cambio adecuiada. a. Un globo completamente esférico está siendo inflado a una razón de $3 \mathrm{~cm} 3 / \mathrm{s}$ .

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Problem 19164

For a confidence level of $98 \%$ with a sample size of 21 , find the critical $t$ -value (also known as the $t$ -score). $\square$ (round to 3 decimal places)

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Problem 19165

$5 x+3 y=15$

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Problem 19166

Factor the expression completely. $-60 x^{4}+54 x$

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Problem 19167

Solve by completing the square. $-3 v^{2}+48 v-75=0$
言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth. ) [ix $\left.\dot{x}_{A}\right]=$ $\square$ or $v=$ $\square$

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Problem 19168

Solve the system by using the addition method. $\begin{aligned} 4 x^{2}+y^{2} & =37 \\ 6 x^{2}-4 y^{2} & =50 \end{aligned}$ There are infinitely many solutions. The solution set is the empty set, $\}$ . The solution set is a finite set. The solution set is $\square$ \}

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Problem 19169

Determine the following indefinite integral. $\begin{array}{r} \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x \\ \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x= \end{array}$

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Problem 19170

1. $(04.02 \mathrm{LC})$
Solve the following system of equations: (1 point) $\begin{array}{l} x-2 y=14 \\ x+3 y=9 \end{array}$ $(1,12)$ $(-1,-12)$ $(12,-1)$ $(12,1)$

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Problem 19171

Solve the following equation: $\frac{3}{4} x=60$

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Problem 19172

6. (04.02 MC)
A gym offers regular memberships for $\$ 80$ per month and off-peak memberships for $\$ 60$ per month. Last month, the gym sold a total of 420 memberships for a total of $\$ 31,100$ . The following system of equations models this scenario: $\begin{array}{l} 80 x+60 y=31,100 \\ x+y=420 \end{array}$
How many of the memberships sold were regular memberships? (1 point) 125 140 235 295

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Problem 19173

Find the number of solutions by graphing the system of equations. Select "None" if applicable. (Hint: Rewrite the system of equations into familiar forms to graph.) $\begin{array}{l} \ln 7=2 \ln x-\ln y \\ x^{2}+y^{2}-6 y+8=0 \end{array}$
Number of solutions: $\square$ None

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Problem 19174

Quadratic and Exponential Functions Graphing a parabola of the form $y=\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}$ : Integer coefficier aph the parabola. $y=3 x^{2}-30 x+69$
Plot five points on the parabola: the vertex, two points to the le button.

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Problem 19175

4) Let $f(x)=3 x+2, g(x)=x^{2}+2 x+1$ , and $h(x)=\frac{2 x+1}{x-1}$ a) Find and simplify $(g \circ f)(x),(f \circ g)(x),(f \circ f)(x)$ . b) Find $f^{-1}$ and show that the function you found is indeed the inverse of $f(x)$ c) $h(x), x \neq 1$ is one-to-one. Find its inverse and check the result.

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Problem 19176

Find an equation of the form $y=a x^{2}+b$ for a parabola that passes through the points $(-1,1)$ and $(-2,7)$ . $y=$

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Problem 19177

12. Let a equal the measure of angle $A$ . The equation $360^{\circ}=a+90^{\circ}+135^{\circ}+75^{\circ}$ represents the sum of the angles in the quadrilateral. Find the missing angle measure by solving the equation.

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Problem 19178

Solve the equation. Simplify the answer as much as possible. $27^{x+5}=9^{2 x+2}$
The solution set is $\square$ \}.

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Problem 19179

hmic Functions Question 11, 5.4.67
Solve the equation. Use the change of base formula when appropriate. $e^{-x}=18$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Type an integer or decimal rounded to the nearest hundredth as needed.) B. There is no solution.

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Problem 19180

Using Descartes' Rule of Signs, what can be said about the following polynomial: $x^{3}-4 x^{2}+7 x-10$ ? Since there are two negatives and one positive, there will be only two negative roots. Since there are an even amount of positive and negative signs, there is no solution. Since there is only one variable ( $x$ ), there will be fewer than three answers. There are three sign changes, meaning this polynomial has up to three positive roots.

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Problem 19181

unctions Question 13, 5.4.71
Solve the equation. $10^{5 x}=10000$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ . (Type an integer or a fraction.) B. There is no solution.

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Problem 19182

For the following function $f$ , find the antiderivative $F$ that satisfies the given condition. $\begin{array}{l} f(v)=\frac{1}{5} \sec v \tan v, F(0)=1,-\frac{\pi}{2}<v<\frac{\pi}{2} \\ F(v)=\square \end{array}$ $\square$

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Problem 19183

$2.6 \times 10^{-5} \frac{\mathrm{~kg}}{\mathrm{~mol} \cdot \mathrm{dL}}=\square \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{L}}$

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Problem 19184

Part 3 of 3 Points: 0.67 of 1
For the function shown below, complete the following. $f(x)=x^{3}-2 x^{2}-9 x+18$ a. List all possible zeros. b. Use synthetic division to test the possible rational zeros and find an actual zero. c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. a. List all possible rational zeros. $\pm 1, \pm 2, \pm 3, \pm 6, \pm 9, \pm 18$ (Use a comma to separate answers as needed.) b. Use synthetic division to test the possible rational zeros and find an actual zero.
One of the actual rational zeros is 2 . c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. Then write all of the zeros of the function.
The solution of $f(x)=x^{3}-2 x^{2}-9 x+18$ is $\square$ (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) example Calculator

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Problem 19185

$\begin{array}{l}\frac{c}{3}=-5 m-\frac{8}{3} \\ -\frac{m}{7}+\frac{3 c}{4}=-6\end{array}$

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Problem 19186

2. Resuelva las siguientes derivadas Implícitas a. $x \sqrt{y+1}=x y+1$ b. $\sqrt{5 x y}+2 y=x^{2} y+x y^{3}$ c. $3 y^{3} x^{2}+4 x^{2} y^{3}-\frac{3 y^{2}}{x}=12 x^{2}+\cos (x y)$ d. $9 x^{2}=\frac{\sqrt{x}}{\sqrt{y}}$

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Problem 19187

Estimate. $641 \div 23 \approx$
Choose 1 answer: (A) 30 (B) 300 (C) 3,000 (D) 30,000

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Problem 19188

$2 \div 1=$

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Problem 19189

Assume $X$ has a normal distribution $N\left(3,8^{2}\right)$ . Find $E(8 X-9)^{2}$

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Problem 19190

12. Find $b$ such that the function $f(x)=3 x^{2}+4 x+2$ has an average value of 10 on the interval $[0, b]$ . (Ans: $b=2$ )

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Problem 19191

$\begin{array}{l}x-6 y=\frac{56}{17} \\ y=3 x-\frac{47}{34}\end{array}$

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Problem 19192

2. بين اي من المجموعات التالية تكون متراصة, مع التوضيح $\{x \in R:|x|=1\} \quad .3$ $[-1,1] .2$ $[0,1] \quad .1$

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Problem 19193

$\begin{array}{l}-7 r+10 p=-\frac{137}{9} \\ 2 r+6 p=\frac{16}{3}\end{array}$

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Problem 19194

13. Find $\frac{d y}{d x}$ for the following functions. Do not simplify your answer. a) $y=x^{4} \log _{4}\left(x^{2}-5\right)$

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Problem 19195

9. Find all the critical values of the function below. * $y=x^{4}-4 x^{3}+12$ $x=0$ only $x=0,12,24$ $x=3$ only $x=R^{3}$ There are no critical values

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Problem 19196

Given the following sets, find the set $(A \cup B)^{\prime} \cap C$ . $\begin{array}{l} \mathrm{U}=\{1,2,3, \ldots, 9\} \\ \mathrm{A}=\{1,2,4,5\} \\ \mathrm{B}=\{1,3,8\} \\ \mathrm{C}=\{1,3,4,6,7\} \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $(A \cup B)^{\prime} \cap C=$ $\square$ \} (Use a comma to separate answers as needed.) B. $(A \cup B)^{\prime} \cap C$ is the empty set.

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Problem 19197

Product-to-Sum Formulas:
1. $\left.\sin (u) \cos (v)=\frac{1}{2}[\sin (u+v))+\sin (u-v)\right]$
2. $\left.\cos (u) \sin (v)=\frac{1}{2}[\sin (u+v))-\sin (u-v)\right]$
3. $\left.\cos (u) \cos (v)=\frac{1}{2}[\cos (u+v))+\cos (u-v)\right]$
4. $\left.\sin (u) \sin (v)=\frac{1}{2}[\cos (u-v))-\cos (u+v)\right]$
Rewrite the expression below using one of the given formulas. $\sin (3 x) \sin (5 x)$ Using formula number one: $\sin (3 x) \sin (5 x)=\frac{1}{2}[\cos (3 x-5 x)-\cos (3 x+5 x)]$ Using formula four: $\sin (3 x) \sin (5 x)=\frac{1}{2}[\cos (3 x+5 x)-\cos (3 x-5 x)]$ Using formula one: $\sin (3 x) \sin (5 x)=\frac{1}{2}[\cos (3 x+5 x)-\cos (3 x-5 x)]$ Using formula number four: $\sin (3 x) \sin (5 x)=\frac{1}{2}[\cos (3 x-5 x)-\cos (3 x+5 x)]$

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Problem 19198

$61=-9 c+7$

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Problem 19199

Question 1 25 pts
Find the solutions of $\cos (\theta)+1=0$ when $0 \leq \theta \leq 2 \pi$ . $\theta=\pi$ $\theta=\frac{\pi}{6}$ $\theta=0,2 \pi$ $\theta=\frac{\pi}{2}$ $\theta=\frac{3 \pi}{2}$

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Problem 19200

Use the Binomial Theorem to expand the binomial: $\left(x^{8}+\sqrt{x}\right)^{3}$

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Math Statement

Problem 19101

expand g(x)=(x−3)4g(x)=(x-3)^{4}g(x)=(x−3)4

Problem 19102

Problem 19103

Polynomials and Factoring Factoring out a monomial from a polynomlal: UnivariateFactor 16w+20w216 w+20 w^{2}16w+20w2. □\square□

Problem 19104

Solve the following polynomial using synthetic division. x3+8x2+11x−20=0x=□x=□x=□\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}x3+8x2+11x−20=0x=□x=□x=□​

Problem 19105

Use the definition of a one-to-one function to determine if the function is one-to-one. k(x)=x3−16k(x)=x^{3}-16k(x)=x3−16 The function is one-to-one. The function is not one-to-one.

Problem 19106

Problem 19107

Problem 19108

3−43-43−4. State the answer as an ordered pair (x,y)(x, y)(x,y), if possible.3. Solve {y=4x−1y=−12x+8\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.{y=4x−1y=−21​x+8​ by graphing.

Problem 19109

Use the properties of logarithms to rewrite the expression log⁡5(x9)\log _{5}\left(x^{9}\right)log5​(x9). Write your answer without any powers. log⁡5(x9)=\log _{5}\left(x^{9}\right)=log5​(x9)=Enter your next step here □\square□

Problem 19110

Solve the following quadratic equation for all values of xxx in simplest form. 6+3x2=186+3 x^{2}=186+3x2=18Answer Attempt 1 out of 2 † Additional Solution No Solution x=x=x= □\square□ Submit Answer

Problem 19111

Problem 19112

Problem 19113

3. f(x)=11−x2f(x)=\frac{1}{\sqrt{1-x^{2}}}f(x)=1−x2​1​

Problem 19114

Find a formula for the inverse of the function. f(x)=x2+2x,x>0.f−1(x)=\begin{array}{l} f(x)=\sqrt{x^{2}+2 x}, x>0 . \\ f^{-1}(x)= \end{array}f(x)=x2+2x​,x>0.f−1(x)=​

Problem 19115

10. Calculate the value of the following series: ∑k=2∞1(3k+1)(3k+4)\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}k=2∑∞​(3k+1)(3k+4)1​

Problem 19116

What is the leading coefficient? 2x6−3x5+15x42 x^{6}-3 x^{5}+15 x^{4}2x6−3x5+15x415 1 Answer △15\triangle 15△15 206 2 Dowe G kahoot.it Game PIN: 7617209

Problem 19117

7. Simplify the following: 3sin⁡(2x)cos⁡(2x)3 \sin (2 x) \cos (2 x)3sin(2x)cos(2x) a. 1.5sin⁡(2x)1.5 \sin (2 x)1.5sin(2x) b. 6sin⁡(4x)6 \sin (4 x)6sin(4x) c. 1.5sin⁡(4x)1.5 \sin (4 x)1.5sin(4x)

Problem 19118

Solve for hhh. h+3>9h+3>9h+3>9

Problem 19119

Problem 19120

Problem 19121

16. x−123=3\sqrt[3]{x-12}=33x−12​=317. 5x+64−9=0\sqrt[4]{5 x+6}-9=045x+6​−9=018. 1−3x−6=4\sqrt{1-3 x}-6=41−3x​−6=419. 3x23=753 x^{\frac{2}{3}}=753x32​=75

Problem 19122

2. Write each fraction as a decimal. 14=15=\frac{1}{4}=\quad \frac{1}{5}=41​=51​=

Problem 19123

Problem 19124

Problem 19125

Problem 19126

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro ln⁡(ex)=15.1\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1ln(ex)=15.1 w window) x=x=x= □\square□

Problem 19127

Warm Up Solve the following radical equation for xxx. 82x+3−10=308 \sqrt{2 x+3}-10=3082x+3​−10=30

Problem 19128

10. f(x)=2x+1,g(x)=xx+1f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}f(x)=x+12​,g(x)=x+1x​Find the domain of the function.

Problem 19129

5 Résolvez les équations suivantes. a) −5x2+160x−1200=0-5 x^{2}+160 x-1200=0−5x2+160x−1200=0

Problem 19130

Find the derivative of the function f(x)=(9x6+9x)15 f(x) = (9x^6 + 9x)^{15} f(x)=(9x6+9x)15.

Problem 19131

Problem 19132

Expand the function f(x)=11−x4 f(x) = \frac{1}{1-x^4} f(x)=1−x41​ in a power series with the center c=0 c=0 c=0 and determine the interval of convergence.

Problem 19133

Problem 19134

Problem 19135

Find all excluded values for the expression. That is, find all values of www for which the expression is undefined. w+6w+7\frac{w+6}{w+7}w+7w+6​If there is more than one value, separate them with commas. w=w=w= □\square□

Problem 19136

This is a multi-part problem. If F(t)=t33+4t2−tF(t)=\frac{t^{3}}{3}+4 t^{2}-tF(t)=3t3​+4t2−t, find F′(t)F^{\prime}(t)F′(t). F′(x′′)=F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=F′(′x′​)= □\square□ Preview My Answers Submit Answers Show me another

Problem 19137

Determine whether the ordered pair is a solution to the inequality. 5x+6y>305 x+6 y>305x+6y>30 (a) (−1,2)(-1,2)(−1,2) (b) (4,−1)(4,-1)(4,−1) (c) (6,0)(6,0)(6,0)

Problem 19138

Use properties of rational numbers to multiply the following. −65×3.875-\frac{6}{5} \times 3.875−56​×3.875 A. 10740\frac{107}{40}40107​ B. −245-\frac{24}{5}−524​ C. −9320-\frac{93}{20}−2093​ D. −15548-\frac{155}{48}−48155​

Problem 19139

xx+31+1x+3\frac{\frac{x}{x+3}}{1+\frac{1}{x+3}}1+x+31​x+3x​​

Problem 19140

4. If f(x)=ln⁡(ln⁡x)f(x)=\ln (\ln x)f(x)=ln(lnx), then f′(x)=f^{\prime}(x)=f′(x)=

Problem 19141

Problem 19142

Use the definition of a one-to-one function to determine if the function is one-to-one. k(x)=∣x−1∣k(x)=|x-1|k(x)=∣x−1∣ The function is one-to-one. The function is not one-to-one.

Problem 19143

∫ex−7x5dx=\int \frac{e^{x}-7 x}{5} d x=∫5ex−7x​dx=

Problem 19144

Problem 19145

Evaluate. ∫14(5x3+8)dx\int_{1}^{4}\left(5 x^{3}+8\right) d x∫14​(5x3+8)dx

Problem 19146

h(x)=x3−6x2+15h(x)=x^{3}-6 x^{2}+15h(x)=x3−6x2+15 relative minimum (x,y)=((x, y)=((x,y)=( □\square□ ) relative maximum (x,y)=((x, y)=((x,y)=( □\square□

Problem 19147

Math and Physics Power and quotient rules with positive exponentsSimplify. (3b2)2(2b3)3\frac{\left(3 b^{2}\right)^{2}}{\left(2 b^{3}\right)^{3}}(2b3)3(3b2)2​Write your answer using only positive exponents.

expand $g(x)=(x-3)^{4}$

Polynomials and Factoring Factoring out a monomial from a polynomlal: Univariate
Factor $16 w+20 w^{2}$ . $\square$

Solve the following polynomial using synthetic division. $\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}$

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=x^{3}-16$ The function is one-to-one. The function is not one-to-one.

$3-4$ . State the answer as an ordered pair $(x, y)$ , if possible.
3. Solve $\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.$ by graphing.

Use the properties of logarithms to rewrite the expression $\log _{5}\left(x^{9}\right)$ . Write your answer without any powers. $\log _{5}\left(x^{9}\right)=$
Enter your next step here $\square$

Solve the following quadratic equation for all values of $x$ in simplest form. $6+3 x^{2}=18$
Answer Attempt 1 out of 2 † Additional Solution No Solution $x=$ $\square$ Submit Answer

3. $f(x)=\frac{1}{\sqrt{1-x^{2}}}$

Find a formula for the inverse of the function. $\begin{array}{l} f(x)=\sqrt{x^{2}+2 x}, x>0 . \\ f^{-1}(x)= \end{array}$

10. Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

What is the leading coefficient? $2 x^{6}-3 x^{5}+15 x^{4}$
15 1 Answer $\triangle 15$ 20
6 2 Dowe G kahoot.it Game PIN: 7617209

7. Simplify the following: $3 \sin (2 x) \cos (2 x)$ a. $1.5 \sin (2 x)$ b. $6 \sin (4 x)$ c. $1.5 \sin (4 x)$

Solve for $h$ . $h+3>9$

16. $\sqrt[3]{x-12}=3$
17. $\sqrt[4]{5 x+6}-9=0$
18. $\sqrt{1-3 x}-6=4$
19. $3 x^{\frac{2}{3}}=75$

2. Write each fraction as a decimal. $\frac{1}{4}=\quad \frac{1}{5}=$

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro $\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1$ w window) $x=$ $\square$

Warm Up Solve the following radical equation for $x$ . $8 \sqrt{2 x+3}-10=30$

10. $f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}$
Find the domain of the function.

5 Résolvez les équations suivantes. a) $-5 x^{2}+160 x-1200=0$

Find the derivative of the function $f(x) = (9x^6 + 9x)^{15}$ .

Expand the function $f(x) = \frac{1}{1-x^4}$ in a power series with the center $c=0$ and determine the interval of convergence.

Find all excluded values for the expression. That is, find all values of $w$ for which the expression is undefined. $\frac{w+6}{w+7}$
If there is more than one value, separate them with commas. $w=$ $\square$

This is a multi-part problem. If $F(t)=\frac{t^{3}}{3}+4 t^{2}-t$ , find $F^{\prime}(t)$ . $F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=$ $\square$ Preview My Answers Submit Answers Show me another

Determine whether the ordered pair is a solution to the inequality. $5 x+6 y>30$ (a) $(-1,2)$ (b) $(4,-1)$ (c) $(6,0)$

Use properties of rational numbers to multiply the following. $-\frac{6}{5} \times 3.875$ A. $\frac{107}{40}$ B. $-\frac{24}{5}$ C. $-\frac{93}{20}$ D. $-\frac{155}{48}$

$\frac{\frac{x}{x+3}}{1+\frac{1}{x+3}}$

4. If $f(x)=\ln (\ln x)$ , then $f^{\prime}(x)=$

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=|x-1|$ The function is one-to-one. The function is not one-to-one.

$\int \frac{e^{x}-7 x}{5} d x=$

Evaluate. $\int_{1}^{4}\left(5 x^{3}+8\right) d x$

$h(x)=x^{3}-6 x^{2}+15$ relative minimum $(x, y)=($ $\square$ ) relative maximum $(x, y)=($ $\square$

Math and Physics Power and quotient rules with positive exponents
Simplify. $\frac{\left(3 b^{2}\right)^{2}}{\left(2 b^{3}\right)^{3}}$
Write your answer using only positive exponents.

Make $x$ the subject of $x-9=r$

Eng. Math, 2 $y=\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{n+1}}{(n+1)}$ is asolution for D.E $(x+1)^{2} y^{\prime \prime}+(x+1) y^{\prime}=0$ Select one: a) True b) False

Make $x$ the subject of $5 x=r$

Find the average value of the function $f(x)=x^{2}-3$ on $[0,3]$

Rearrange $g=f r$ to make $f$ the subject.

Rearrange $k=d w$ to make $d$ the subject.

Rearrange $a k-y=c$ to make $k$ the subject.

Use the function below to answer the following questions. $m(x)=5^{x+4}$ (a) Use transformations of the graph of $y=5^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Part: $0 / 3$

Make $k$ the subject of $d=\frac{k+m}{2}$

Which of the following is equivalent to $i^{26}$ ? -1 $-i$ 1 i

$x^{2}-2 x-8 \leq 0$

For a confidence level of $98 \%$ with a sample size of 21 , find the critical $t$ -value (also known as the $t$ -score). $\square$ (round to 3 decimal places)

$5 x+3 y=15$

Factor the expression completely. $-60 x^{4}+54 x$

Solve by completing the square. $-3 v^{2}+48 v-75=0$
言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth. ) [ix $\left.\dot{x}_{A}\right]=$ $\square$ or $v=$ $\square$

Determine the following indefinite integral. $\begin{array}{r} \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x \\ \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x= \end{array}$

1. $(04.02 \mathrm{LC})$
Solve the following system of equations: (1 point) $\begin{array}{l} x-2 y=14 \\ x+3 y=9 \end{array}$ $(1,12)$ $(-1,-12)$ $(12,-1)$ $(12,1)$

Solve the following equation: $\frac{3}{4} x=60$

Quadratic and Exponential Functions Graphing a parabola of the form $y=\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}$ : Integer coefficier aph the parabola. $y=3 x^{2}-30 x+69$
Plot five points on the parabola: the vertex, two points to the le button.