=| fw)dydx where f(y) is a function of y alone. (a) Use the Fundamental Theorem of Calculus to prove that G"(t) = 70. Let f(t). (b) Show, by changing the order in the double integral, that G(t) = |(1- y)f(y)dy. This illustrates that the "second antiderivative" of f(y) can be expressed as a single integral.

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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=| fw)dydx where f(y) is a function of y alone.
(a) Use the Fundamental Theorem of Calculus to prove that G"(t) =
70. Let
f(t).
(b) Show, by changing the order in the double integral, that G(t) =
|(1- y)f(y)dy. This illustrates that the "second antiderivative" of f(y)
can be expressed as a single integral.
Transcribed Image Text:=| fw)dydx where f(y) is a function of y alone. (a) Use the Fundamental Theorem of Calculus to prove that G"(t) = 70. Let f(t). (b) Show, by changing the order in the double integral, that G(t) = |(1- y)f(y)dy. This illustrates that the "second antiderivative" of f(y) can be expressed as a single integral.
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