6. Length of the Polar Curve

label Calculus
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Find the exact length of the polar curve.

r = θ2,    0 ≤ θ ≤ 5π/4
Apr 4th, 2015

r = theta2

dr/dtheta = 2theta

r2+(dr/dtheta)2= theta2+ 4 theta2 =5 theta2

ds = √5 theta dtheta

integrating between 0 and 5pi/4

s = √5 * (5pi/4)2/2= (25/32) *√5 pi2   


Apr 4th, 2015

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Apr 4th, 2015
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Apr 4th, 2015
Jun 27th, 2017
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