∞ (c) The curve given by the polar equation r = (a) Suppose a > 0 and be > 0 for all k. Ifak and by both diverge, then the series Σ(akbk.) k=1 k=1 must also diverge. (b) y=t+1+2et is the solution to the initial value problem: 2 sin 0 - 3 cos 0 dy dt =y-t and y(0) = 3. ∞ is a line. k=1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Need help deciding why these statements are true or false. Please justify clearly

(a) Suppose a > 0 and bk> 0 for all k. If
k=1
must also diverge.
(b) y=t+1+2et is the solution to the initial value problem: =yt and y(0) = 3.
∞
ak and be both diverge, then the series
(c) The curve given by the polar equation r =
sin
k=1
2
3 cos (
dy
dt
is a line.
8
k=1
(akbk)
Transcribed Image Text:(a) Suppose a > 0 and bk> 0 for all k. If k=1 must also diverge. (b) y=t+1+2et is the solution to the initial value problem: =yt and y(0) = 3. ∞ ak and be both diverge, then the series (c) The curve given by the polar equation r = sin k=1 2 3 cos ( dy dt is a line. 8 k=1 (akbk)
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