(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: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(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.
Transcribed Image Text:(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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