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A winding footpath follows the curve y = 2/3x^(3/2)… | StemPy Lab

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A winding footpath follows the curve y = 2/3x^(3/2) from x = 0 to x = 8, with x and y in metres. The council wants to know the length of the path. How long is it?

MathematicsHardHigh School (11–12)Functions and Calculus › Application of Integrals A-Level AP IB

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A winding footpath follows the curve $y = \dfrac{2}{3}x^{3/2}$ from $x = 0$ to $x = 8$ , with $x$ and $y$ in metres. The council wants to know the length of the path. How long is it?

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