2. (a) Find the exact length of the curve (i) r = 1+sin 0, 0<0< 27, (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(8), a <0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. (a) Find the exact length of the curve
(i) r = 1+ sin 8, 0<0< 2,
(ii) r = 2(1+ sin 6),
0 <0< 27.
(b) Based on the results in part (a), what can be said about the relative lengths of
f(0), a <0<B and r = 2f(0), a <o< B? Justify your answer.
the curves r =
Transcribed Image Text:2. (a) Find the exact length of the curve (i) r = 1+ sin 8, 0<0< 2, (ii) r = 2(1+ sin 6), 0 <0< 27. (b) Based on the results in part (a), what can be said about the relative lengths of f(0), a <0<B and r = 2f(0), a <o< B? Justify your answer. the curves r =
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