(a) Find the exact length of the curve (i) r = 1+ sin 0, (ii) r = 2(1+ sin 8), 0<0< 27, 0<0< 2n. Based on the results in part (a), what can be said about the relative lengths of the curvesr = f(0), a <0 < B and r = 2f(0), a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 62E
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2. (a) Find the exact length of the curve
(i) r = 1+ sin 0,
(ii) r= 2(1+ sin 0), 0<0< 2m.
0 < 0< 2n,
Based on the results in part (a), what can be said about the relative lengths of
f() , α< θ< β and r = 2f(θ) , α< θ< β
the curves r =
Transcribed Image Text:2. (a) Find the exact length of the curve (i) r = 1+ sin 0, (ii) r= 2(1+ sin 0), 0<0< 2m. 0 < 0< 2n, Based on the results in part (a), what can be said about the relative lengths of f() , α< θ< β and r = 2f(θ) , α< θ< β the curves r =
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