14. Consider the area between the graph of f(x) the x-axis on [0, 4]. Vĩ and y 24 24 2 3 4 2 3 4 (a) Use the four rectangles shown on the left to approxi- mate the given area, and then use the eight rectangles shown on the right to obtain another approximation of that area. Be sure to use the fact that the graph shown is that of the function f(x) = Vĩ in your cal- culations. (b) Describe what would happen if we did similar ap- proximations with more and more rectangles, and make a guess for the resulting limit.
14. Consider the area between the graph of f(x) the x-axis on [0, 4]. Vĩ and y 24 24 2 3 4 2 3 4 (a) Use the four rectangles shown on the left to approxi- mate the given area, and then use the eight rectangles shown on the right to obtain another approximation of that area. Be sure to use the fact that the graph shown is that of the function f(x) = Vĩ in your cal- culations. (b) Describe what would happen if we did similar ap- proximations with more and more rectangles, and make a guess for the resulting limit.
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
![14. Consider the area between the graph of f(x)
the x-axis on [0, 4].
Vĩ and
y
24
24
2
3
4
2
3
4
(a) Use the four rectangles shown on the left to approxi-
mate the given area, and then use the eight rectangles
shown on the right to obtain another approximation
of that area. Be sure to use the fact that the graph
shown is that of the function f(x) = Vĩ in your cal-
culations.
(b) Describe what would happen if we did similar ap-
proximations with more and more rectangles, and
make a guess for the resulting limit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F162aec59-417e-4eba-be72-4a6246193981%2F443de055-b48e-4ead-bb6d-d5a2c16d9165%2Fg4ho7ga_processed.png&w=3840&q=75)
Transcribed Image Text:14. Consider the area between the graph of f(x)
the x-axis on [0, 4].
Vĩ and
y
24
24
2
3
4
2
3
4
(a) Use the four rectangles shown on the left to approxi-
mate the given area, and then use the eight rectangles
shown on the right to obtain another approximation
of that area. Be sure to use the fact that the graph
shown is that of the function f(x) = Vĩ in your cal-
culations.
(b) Describe what would happen if we did similar ap-
proximations with more and more rectangles, and
make a guess for the resulting limit.
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