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
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
Calculus: Early Transcendentals
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe52bd02a-e800-44f2-af82-2d986540a56b%2F9f17650a-d915-4314-9ed5-c633a4952243%2Fs0r6p6l.png&w=3840&q=75)
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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