Use the arc length formula to find the length of the curve y =36 - x2, 0 < x< 6. Check your answer by noting that the curve is part of a circle.y42246.

y=36-x2 , 0≤x≤6let f(x)=36-x2 Then Arc length =∫061+(f'(x))2dx…

Answered: Use the arc length formula to find the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 32E

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Use the arc length formula to find the length of the curve y = 36 - x2, 0 s x S 6. Check your answer by noting that the curve is part of a circle. y 8 4 2 4