Consider the family of functions given by h(t) =(a) Find h '(t)t =(b) Find the t-coordinates of the critical points of h(t).(smaller)t ==t =t =(larger)at²t-b(c) Find the t-coordinates of the global maximum and global minimum of h(t) on the interval 0 ≤ t ≤ 5b. If there is no global maximum or no global minimum, write NONE.(global maximum)(global minimum)where a > 0 and b > 0.

The given function is:h(t)=at2t-b ; where a>0 and b>0

Answered: Consider the family of functions given…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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