Find the lengths of the curves given by the polar coordinate equations in Exercises 51-54. 51. r = -1 + cos 0 52. r = 2 sin 0 + 2 cos 0, 0 < 02 53. r = 8 sin³ (0/3), 0 < 0 < /4 54. r = V1 + cos 20, -TT/2 < 0 < T/2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Find the lengths of the curves given by the polar coordinate equations
in Exercises 51-54.
51. r = -1 + cos 0
52. r = 2 sin 0 + 2 cos 0, 0 < 0</2
53. r = 8 sin³ (0/3), 0 < 0 < /4
54. r = V1 + cos 20, -TT/2 < 0 < T/2
Transcribed Image Text:Find the lengths of the curves given by the polar coordinate equations in Exercises 51-54. 51. r = -1 + cos 0 52. r = 2 sin 0 + 2 cos 0, 0 < 0</2 53. r = 8 sin³ (0/3), 0 < 0 < /4 54. r = V1 + cos 20, -TT/2 < 0 < T/2
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