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SCALCET8M 11.8.042. 0/3 Submissions Used Suppose that the radius of convergence of the power series ∑cnxn is R. What is the radius of convergence of the power series ∑cnx4n ?
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15 Type the correct answer in the box. If necessary, use / for the fraction bar and reduce the fraction. Complete the statement. If cosθ=53 and θ is in quadrant IV, sin2θ=□
Use the roster method to list the elements in the set.
{x∣x is a whole number less than 5}{1,2,3,4}the }{0,1,2,3,4}{6,7,8,…}
None of the Above
{…,2,3,4}
The value of an investment (in dollars) after t years is gives by
A(t)=100(1.03)t Find the average rate of change of the value (in dollars per year) over the first 5 years, that is, on the interval [0,5]. Round to the nearest cent, and do not include the units or a dollar sign; just type in a qumber.
Equation 2
28x+20y=−030=−91
c
16x=−91 41c This system of equations is:
Dependent - there are an
Independent - there is only
Inconsistent - there are no infinite number of solutions one solution solutions
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Solve the inequality and graph the solution.
2≥2p−1 Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.
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limx→8−15−3x3p(x)−2x=? Given that as x approaches 8 from the left, the value of p(x) approaches 2, and as x approaches 8 from the right, the value of p(x) approaches 3.
Question 8 (1 point)
Which of the following functions has exactly one vertical asymptote when graphed?
A) f(x)=x2−3x6
B) f(x)=x2−3x6x
C) f(x)=x6x2−18x
D) B and C
Solve the system using Gaussian elimination and backward substitution: x+2y+4z=−x+3y+3z=x+y−5z=11−2−6 Is the solution unique, infinite, or nonexistent?
Let (Y1,Y2) have joint density fY1,Y2(y1,y2). Define U1=Y1+Y2, U2=Y2. a) Show fU1,U2(u1,u2)=fY1,Y2(u1−u2,u2). b) Find fU1(u1)=∫−∞∞fY1,Y2(u1−u2,u2)du2. c) If Y1 and Y2 are independent, show fU1(u1)=∫−∞∞fY1(u1−u2)fY2(u2)du2.