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∞ (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

∞ (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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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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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