1. f(x) = -2 cos x - x on [0, 2π] 2. f(x) = √2 sin x - x on [0, 2π] 3. f(x) = 3 cos 3x on [-T, π] 4. f(x) = cos²x on [-T, π] 35. f(x) = x²/³(x² - 4) 36. f(x) = x²√9-x² on (-3, 3)

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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Question 31 and 35 Find the intervals on which f is increasing and the intervals on which is decreasing.
31. f(x) = -2 cos x - x on [0, 2π]
32. f(x) = √2 sin x - x on [0, 2π]
-
33. f(x) = 3 cos 3x on [-π, π]
34. f(x) = cos²x on [-π, π]
35. f(x) = x²/³(x² - 4).
2
36. f(x) = x²√9 - x² on (-3, 3)
1/
Transcribed Image Text:31. f(x) = -2 cos x - x on [0, 2π] 32. f(x) = √2 sin x - x on [0, 2π] - 33. f(x) = 3 cos 3x on [-π, π] 34. f(x) = cos²x on [-π, π] 35. f(x) = x²/³(x² - 4). 2 36. f(x) = x²√9 - x² on (-3, 3) 1/
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