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(a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 2ñ, (ii) r= 2(1+ sin 0), 0<0< 27. (b) Based on the results in part (a), what can be said about the relative lengths of the curves r = f(0), a < 0 < B and r = 2f(0), a

(a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 2ñ, (ii) r= 2(1+ sin 0), 0<0< 27. (b) Based on the results in part (a), what can be said about the relative lengths of the curves r = f(0), a < 0 < B and r = 2f(0), a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 27, (ii) r = 2(1+ sin 0), 0 <0< 2n. (b) Based on the results in part (a), what can be said about the relative lengths of the curves r = f(0), a <0 < B and r = 2f(0), a < 0 < B? Justify your answer.
Transcribed Image Text:(a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 27, (ii) r = 2(1+ sin 0), 0 <0< 2n. (b) Based on the results in part (a), what can be said about the relative lengths of the curves r = f(0), a <0 < B and r = 2f(0), a < 0 < B? Justify your answer.
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