What is the average value of the function f(x) = 1/x on [1,3]?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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What is the average value of the function
f(x) = 1/x on [1, 3]?
Select one:
None of the others
In 3
1/2
undefined
-1/2
Transcribed Image Text:What is the average value of the function f(x) = 1/x on [1, 3]? Select one: None of the others In 3 1/2 undefined -1/2
If the region under the graph of y = x +1 from a
3 is rotated about the x-axis, the volume of the
1
to x
resulting solid is f T(x + 1)°dx.
Select one:
O True
O False
3:3
What is the volume of the object obtained by rotating
the region under the curve y =
3
from x =
a+2
0 to
5 around the x-axis?
Select one:
O 97 In x + 2dx
5 9T dx
x+2
9T dx
(z+2)°
None of the others
dx
(z+2)
Transcribed Image Text:If the region under the graph of y = x +1 from a 3 is rotated about the x-axis, the volume of the 1 to x resulting solid is f T(x + 1)°dx. Select one: O True O False 3:3 What is the volume of the object obtained by rotating the region under the curve y = 3 from x = a+2 0 to 5 around the x-axis? Select one: O 97 In x + 2dx 5 9T dx x+2 9T dx (z+2)° None of the others dx (z+2)
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