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Find the exact length of the curve.

0 votes

y = 3 + 2x^3/2, 0 ≤ x ≤ 1?

length-of-a-curve

asked Dec 9, 2014 in PRECALCULUS by anonymous

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1 Answer

0 votes

The curve is and the interval is [0, 1].

The length of the curve between a and b is --------->(1)

Differentiate the curve with respect to x.

.

Substitute , a = 0 and b = 1 in the equation (1).

Apply formula : .

.

Therefore, length of the curve is 2.2683 units.

answered Dec 9, 2014 by lilly Expert

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