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Find the length of the curve over the given interval.

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Find the length of the curve over the given interval.

Polar equation                                                       Interval

asked Feb 18, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 :

Arc length :

The length of a curve with polar equation is

.

Step 2 :

The polar equation is image.

image

Apply derivative on each side with respect to .

image

The exact length of the polar curve is .

Substitute image and image in above equation.

image

Solution :

The exact length of curve image is image.

answered Feb 20, 2015 by cameron Mentor

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