53. f(t) = t - T, [-1,4] 54. f(t) = [0, 2] 1 + t2' 55. f(t) = 2 cos t + sin 2t, [0, #/2] 56. f(t) = t + cot (t/2), [T/4, 7/4] 57. If a and b are positive numbers, find the maximum value of f(x) = x"(1 – x)*, 0 < x< 1. 158. Use a graph to estimate the critical numbers of f(x) = 1 + 5x – x' correct to one decimal place. 59-62 (a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places.

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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Problem 57

53. f(t) = t - T, [-1,4]
54. f(t) =
[0, 2]
1 + t2'
55. f(t) = 2 cos t + sin 2t, [0, #/2]
56. f(t) = t + cot (t/2), [T/4, 7/4]
57. If a and b are positive numbers, find the maximum value
of f(x) = x"(1 – x)*, 0 < x< 1.
158. Use a graph to estimate the critical numbers of
f(x) = 1 + 5x – x' correct to one decimal place.
59-62
(a) Use a graph to estimate the absolute maximum and
minimum values of the function to two decimal places.
Transcribed Image Text:53. f(t) = t - T, [-1,4] 54. f(t) = [0, 2] 1 + t2' 55. f(t) = 2 cos t + sin 2t, [0, #/2] 56. f(t) = t + cot (t/2), [T/4, 7/4] 57. If a and b are positive numbers, find the maximum value of f(x) = x"(1 – x)*, 0 < x< 1. 158. Use a graph to estimate the critical numbers of f(x) = 1 + 5x – x' correct to one decimal place. 59-62 (a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places.
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