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Find the length of the spiraling polar curve r=3(e^(4θ)) From 0 to 2π?

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Find the length of the spiraling polar curve r=3(e^(4θ)) From 0 to 2π?

arc-length
polar-curve

asked Feb 14, 2015 in CALCULUS by anonymous

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1 Answer

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Step 1:

The polar curve is , .

The length of a curve with polar equation , is .

Here .

Differentiate with respect to on each side.

Step 2:

Substitute , and limits of in length of the polar curve formula.

Solution:

Length of the spiraling polar curve is .

answered Feb 16, 2015 by cameron Mentor

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