(i) Verify the Lagrange's mean value theorem for the function f(x) = x-sin xin every interval, and if so, find the value of c.(i11) Find the volume of the solid formed by the revolution of a parabolay2.= 4ax and a straight line y = 2x.

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Answered: (i) Verify the Lagrange's mean value…

(i) Verify the Lagrange's mean value theorem for the function f(x) = x-sin x in every interval, and if so, find the value of c.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 25E

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Question

(i) Verify the Lagrange's mean value theorem for the function f(x) = x-sin x
in every interval, and if so, find the value of c.
(i11) Find the volume of the solid formed by the revolution of a parabola
y2.
= 4ax and a straight line y = 2x.

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