7. Length of the Polar Curve

Calculus
Tutor: None Selected Time limit: 1 Day

Find the exact length of the polar curve.

r = 3 sin θ,    0 ≤ θ ≤ π/4
Apr 4th, 2015

r = 3 sin theta

dr/dtheta = 3 cos theta

r2+(dr/dtheta)2 = 32 sin 2 theta+ 32 cos 2 theta = 9

ds = √9  d theta

ds = 3 d theta

integrating between 0 and pi /4 

s = 3 * pi/4 = 3/4 pi

Apr 4th, 2015

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Apr 4th, 2015
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Apr 4th, 2015
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