Compute the exact length of the curve from to .

MATHEMATICS · Single correct · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

Compute the exact length of the curve y=x3/2y=x^{3/2} from x=0x=0 to x=4x=4. (a) 427(1010−1)\dfrac{4}{27}\bigl(10\sqrt{10}-1\bigr) (b) 827(1010)\dfrac{8}{27}\bigl(10\sqrt{10}\bigr) (c) 827(1010−1)\dfrac{8}{27}\bigl(10\sqrt{10}-1\bigr) (d) 89(1010−1)\dfrac{8}{9}\bigl(10\sqrt{10}-1\bigr)

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