Question 10
Given the following inequalities, fill in the blanks to list the corner points in order from smallest x to largest x.
−x+2y≥05x+12y≤4434x+y≥−311 (x1,y1)=(Blank1,Blank2)
(x2,y2)=(Blank3,Blank4)
(x3,y3)=(Blank5,Blank6)
Blank 1 Add your answer
Blank 2 Add your answer
Blank 3 Add your answer
Blank 4 Add your answer
Blank 5 Add your answer
CHM_159
Worksheet\_Chapter\_E\_Answers
(Measurements, Significant figures, Density, Dimensional Analysis) 1. Give the answer to the following calculation in scientific notation:
(8.333×10−2)(3.001)(9.66×10−1)+(5.1×102)−8.77+2.8
Ans: 2.0×103
Calculus
Question 17 of 40 Find the amplitude (if one exists), period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods.
y=4sin(2x−π) What is the amplitude? Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. The amplitude is □ .
(Simplify your answer. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
B. The function does not have an amplitude. What is the period?
□
(Simplify your answer. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.) Vhat is the phase shift?
□
implify your answer. Type an exact answer, using π as needed. Use integers or fractions for any imbers in the expression.)
e the graphing tool to graph the function.
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1. Multiply the following binomials. Simplify where possible.
a. ==(3−x)(12−x)(3)(12)+(3)(−x)+(−x)(12)+(−x)(−x)=36−3x−12x+x=36−14x
b. (9ab−6b)(14b+3a)
Let A(x)=xx+7. Answer the following questions. 1. Find the interval(s) on which A is increasing.
Answer (in interval notation): 2. Find the interval(s) on which A is decreasing.
Answer (in interval notation): 3. Find the local maxima of A. List your answers as points in the form (a,b).
Answer (separate by commas): 4. Find the local minima of A. List your answers as points in the form (a,b).
Answer (separate by commas): 5. Find the interval(s) on which A is concave upward.
Answer (in interval notation): 6. Find the interval(s) on which A is concave downward.
Answer (in interval notation):
Convert to decimal notation. 5.567⋅10−8 5.567⋅10−8=□ (Simplify your answer. Type an integer or a decimal.) Question 12 of 35 This test: 35 point(s) possible
This question: 1 point(s) possible What do I know about
Use curl to determine whether the vector field
F=⟨3x6y,x7+3y8z,y9⟩ is conservative. (a) Find curl F. curl F = ⟨a,a,a⟩. Question Help: Video Message instructor
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Write a system of linear equations represented by the augmented matrix. (Use x, y, and z as your variables, each representing the columns in turn. Write the equations for the system in the same order as they appear in the augmented matrix. Do not perform any row operations.) ⎣⎡2090155−40⋮⋮⋮−1174⎦⎤
[-/5.43 Points]
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LARPCALC11 7.3.026.MI. Solve the system of linear equations and check any solution algebraically. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and z in terms of the real number a.)
⎩⎨⎧2x+4y+z=5x−2y−3z=1x+y−z=−1(x,y,z)=(
g(x)=4x−2
Graph the exponential function g(x)=4x−2.
To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button.
Additionally, give the domain and range of the function using interval notation.
Domain:
Range:
Multiply and simplify.
72⋅7872⋅78=
(Type your answer using exponential notation. Use p
Integer Exponents
Question 9, 10.1.63
HW Score: 34.78%, 8 of 23 points
Points: 0 of 1
12) 732 mg = \_\_\_\_\_ g
13) 76 t = \_\_\_\_\_ kg
14) 0.054 t = \_\_\_\_\_ kg
15) 43,000 mg = \_\_\_\_\_ kg
16) Add: 320 g + 8 kg + 870 mg = \_\_\_\_\_\_\_
Find the vertical asymptote(s) of the graph of the function. f(x)=(x−3)(x+5)2−x This question: 1 point(s) possible Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote
(Type an equation.) B. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is
(Type equations.) C. The function has no vertical asymptotes.
Step 1 The angle whose tangent is 3 is the angle whose sine and cosine functions have the same sign the same sign. Step 2
So, one such angle in Quadrant I is
tan(θ)=3=3π3π3 Step 3 But the sine and cosine functions have the same sign if θ is in Quadrant
tan(θ)=3=3(2π
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Factor the following trinomial, or state that the trinomial is prime.
p2+18p−88 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. p2+18p−88=□ (Factor completely.)
B. The trinomial is prime.
Question 27 of 30 Identify the equation without completing the squares.
x2+y2−9x+6y=0 Choose the conic that matches the given equation.
A. Hyperbola
B. Parabola
C. The equation does not represent a conic.
D. Circle
Consider the difference equation xt+1=31xtsin(πxt)+xt
\text{This recurrence relation has (No answer given) fixed point(s).} \text{The first 3 non-negative fixed points occur at } \hat{x} = \qquad , \hat{x} = \qquad , \text{ and } \hat{x} = \qquad$
\text{Enter the smallest } \hat{x} \text{ value into the first input box and the largest } \hat{x} \text{ value into the third input box in the line above.} \text{Now, we want to determine if these 3 equilibria are asymptomatically stable or unstable.} \text{So, we will find the derivative of the updating function, } f(x) = \qquadYour answer in the line above should be in terms of x \text{So taking the derivative of } f(x) = \text{ gives us } f^{\prime}(x) = \qquadYour answer in the line above should be in terms of x \text{Now, we will evaluate } f^{\prime}(x) = \text{ at each of our 3 equilibria.}
f′()=, since □ (No answer given), we know that this equilibria at x^=
\text{(No answer given)}
f′()=, since II (No answer given)□, we know that this equilibria at x^=
\text{(No answer given)}
f′(C=□, since II (No answer given)□, we know that this equilibria at x^=
\text{(No answer given)} \text{Now, we will also note that the next non-negative fixed point occurs at } \hat{x} = \qquad , \text{ and since } f^{\prime}() = \qquad(No answer given) ⩽0, this □ (No answer given) ∼^ indicate oscillation at this equilibria.
The velocity function (in meters per second) is given for a particle moving along a line.
v(t)=5t−9,0≤t≤3
(a) Find the displacement.
m
(b) Find the distance traveled by the particle during the given time interval.
m
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Fractions
Order of operations with fractions: Problem type 2
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Your answer is incorrect.
Evaluate.
43−21⋅76
Write your answer in simplest form.
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```latex
Gegeben sei die Funktion f(x)=x2⋅e−x. Verwenden Sie den Formansatz F(x)=(ax2+bx+c)⋅e−x, um die Stammfunktion von f(x) zu bestimmen. Erläutern Sie in einem kurzen Text, wie man durch diesen Formansatz an die Stammfunktion gelangt.
Extra credit 2: Let r(x)=(x−1)4(x+3)(x−2)2 a) Are there any holes? If so, where are they? b) What are the intercepts of r(x)?
x-intercepts:
y-intercept: c) What is/are the vertical asymptote(s) of r(x)? d) What is the horizontal asymptote of r(x)? e) Use parts a-d to sketch the graph of r(x) below.
Solve the equation using the quadratic formula.
2x2−3x=−5 The solution set is □ \}
(Simplify your answer. Type an exact answer using radicals and i as needed. Use answers as needed.)
Solve the following logarithmic equation, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or round your answer to two decimal places. log8(2x−2)=2
Question 4
Find the Cartesian equation for the polar curve r=tanθsecθ.
y=x2y=xy=x21x=y21x=y2 Question 5
Consider the region in the second quadrant between the circles x2+y2=4 and x2+y2=25, and above the line y=−2x. Polar inequalities for the region are
[Select] ≤ r ≤ [Select] , [Select] ≤ θ ≤ [Select] .
Systems of Equations
43) Find the solution of the system of equations shown below.
{x+y=12x−3y=17
A. (−3,4)
B. (−4,3)
C. (3,−4)
D. (4,−3)
44) A system of equation is given.
{y=9x−1y=2x+3 If (x,y) is the solution to the system, what is the value of x ? Enter your answer as a fraction in
45) What is the y-value in the solution of this system of equations?
3x−y=3−2x+y=−12
A. y=−30
B. y=−9
C. y=9
D. y=30
46) For the system of equations shown, what is the value of a+b ?
3a+b=−6−3a−4b=−12
A. a+b=−4
B. a+b=0
C. a+b=2
D. a+b=6
Solve the following system of equations using Gaussian or Gauss-Jordan elimination.
x−2y+3z=−13x+y−z=−52x+3y−5z=−7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The solution is □□□ .
(Type integers or simplified fractions.)
B. There are infinitely many solutions of the form □□ z).
(Type expressions using z as the variable.)
C. There is no solution.