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Find the length of the arc of the curve from point P to point Q.

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Find the length of the arc of the curve from point P to point Q.

asked Jan 29, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The parabola equation is .

Differentiate each side with respect to x.

Use the power rule of derivative: image

Hence, .

Step 2:

Find the length of the curve from  .

The formula for arc length is 

Substitute in above formula.

image

Use the property : image.

image

The length of the arc is image.

Solution :

The length of the arc from P to Q is image.

answered Jan 30, 2015 by james Pupil
edited Jan 30, 2015 by james

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