15) (10.) Sketch the parametric curve x = 2 + 3sin(t), y = -3+ 3cos(t) for

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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15
12) (9.7) Find the center, radius and interval of convergence for the power
2 (-1)" -2)"
series.
n2n
n=1
2
13) (9.7) Use a power series for to find a power series for g(x) =
%3D
x - 1
(x- 1)2"
What is the radius of convergence?
14) (9.) Use the definition of Taylor series to find the series for f(x) = cos(3x)
with center 0. Find the radius of convergence.
15) (10.) Sketch the parametric curve x = 2 + 3sin(t), y = -3 +3cos(t)
5T
for <t<. Find the slope of the tangent line to the curve for t =
4
16) (10.) Find three ordered pairs (r, 0) on r = 2cos(30) and sketch the graph
uonh
Transcribed Image Text:12) (9.7) Find the center, radius and interval of convergence for the power 2 (-1)" -2)" series. n2n n=1 2 13) (9.7) Use a power series for to find a power series for g(x) = %3D x - 1 (x- 1)2" What is the radius of convergence? 14) (9.) Use the definition of Taylor series to find the series for f(x) = cos(3x) with center 0. Find the radius of convergence. 15) (10.) Sketch the parametric curve x = 2 + 3sin(t), y = -3 +3cos(t) 5T for <t<. Find the slope of the tangent line to the curve for t = 4 16) (10.) Find three ordered pairs (r, 0) on r = 2cos(30) and sketch the graph uonh
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