a Give a geometrical explanation as to why f(x)dx =0. Choose the correct answer below. O A. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie to the right of the y-axis, and the other half left of the y-axis. O B. The length of the interval [a,a] is a- a = 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero. C. The height of the function on the interval [a,a] is f(a) - f(a)= 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero. O D. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie above the x-axis, and the other half below the x-axis.
a Give a geometrical explanation as to why f(x)dx =0. Choose the correct answer below. O A. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie to the right of the y-axis, and the other half left of the y-axis. O B. The length of the interval [a,a] is a- a = 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero. C. The height of the function on the interval [a,a] is f(a) - f(a)= 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero. O D. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie above the x-axis, and the other half below the x-axis.
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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![a
Give a geometrical explanation as to why f(x)dx =0.
Choose the correct answer below.
O A. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie to the right of the y-axis, and the other half left of the y-axis.
O B. The length of the interval [a,a] is a- a = 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero.
C. The height of the function on the interval [a,a] is f(a) - f(a)= 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero.
O D. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie above the x-axis, and the other half below the x-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F039e591c-e681-4704-bf04-956cf38b86ef%2F2eb610e7-1fc6-498f-bae6-5ed147a5a959%2Ffgd0kxd.jpeg&w=3840&q=75)
Transcribed Image Text:a
Give a geometrical explanation as to why f(x)dx =0.
Choose the correct answer below.
O A. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie to the right of the y-axis, and the other half left of the y-axis.
O B. The length of the interval [a,a] is a- a = 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero.
C. The height of the function on the interval [a,a] is f(a) - f(a)= 0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero.
O D. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie above the x-axis, and the other half below the x-axis.
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