for Integrals Find or approximate all points a which the given function equals its average value on the given interval. 39. f(x) = 8 - 2x on [0₁4]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Question 39 and 43 Show work, thank you! Answers are given.
33. 2000
35.21 m/s
37. 20/T
39.2
41.a/√3
43. c =
45.
a. True
b. True
c. True
d. False
1
2
Transcribed Image Text:33. 2000 35.21 m/s 37. 20/T 39.2 41.a/√3 43. c = 45. a. True b. True c. True d. False 1 2
39-44. Mean Value Theorem for Integrals Find or approximate all points at
which the given function equals its average value on the given interval.
39. f(x) = 8 - 2x on [0, 4]
40. f(x) = e on [0, 2]
x²
41. f(x) = 1 -
on [0, a], where a is a positive real number
a²
π
-sin x on [0, π]
4
42. f(x) =
43. f(x) = 1
1
44. f(x)
==
X
x on [-1, 1]
on [1,4]
Transcribed Image Text:39-44. Mean Value Theorem for Integrals Find or approximate all points at which the given function equals its average value on the given interval. 39. f(x) = 8 - 2x on [0, 4] 40. f(x) = e on [0, 2] x² 41. f(x) = 1 - on [0, a], where a is a positive real number a² π -sin x on [0, π] 4 42. f(x) = 43. f(x) = 1 1 44. f(x) == X x on [-1, 1] on [1,4]
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