a) f(x) = x2 sin x is restricted to the domain 10 ≥ x ≥ 0 and it has four critical points. They are at x = 0 and x = 2.89 and x= 5.087 and x = 8.096 At what value x in this domain does f(x) attain its maximum?

a) f(x) = x2 sin x is restricted to the domain 10 ≥ x ≥ 0 and it has four critical points. They are at x = 0 and x = 2.89 and x= 5.087 and x = 8.096 At what value x in this domain does f(x) attain its maximum?

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.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 48CR

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Question

a) f(x) = x² sin x

is restricted to the domain 10 ≥ x ≥ 0

and it has four critical points. They are at x = 0 and x = 2.89 and x= 5.087 and x = 8.096

At what value x in this domain does f(x) attain its maximum?

b) What is the minimum value of f(x) = x^2 - 8 ln x on the interval [1,5]

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