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Let C be the curve parameterized by F(t) = (x(t),y(t)), for a st< b, with starting point P and ending point Q. Let f be the function whose values along C are given by h(t) = f (r(t), y(t)). Use the Fundamental Theorem of Calculus to prove the Fundamental Theorem of Calculus for Line Integrals. %3D %3! Hint: First find h'(t).

Let C be the curve parameterized by F(t) = (x(t),y(t)), for a st< b, with starting point P and ending point Q. Let f be the function whose values along C are given by h(t) = f (r(t), y(t)). Use the Fundamental Theorem of Calculus to prove the Fundamental Theorem of Calculus for Line Integrals. %3D %3! Hint: First find h'(t).

Calculus: Early Transcendentals
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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(x(t), y(t)), for a <t < b, with - Let C be the curve parameterized by (t) starting point P and ending point Q. Let f be the function whose values along C are given by h(t) = f(x(t), y(t)). Use the Fundamental Theorem of Calculus to prove the Fundamental Theorem of Calculus for Line Integrals. Hint: First find h'(t). %3D %3D
Transcribed Image Text:(x(t), y(t)), for a <t < b, with - Let C be the curve parameterized by (t) starting point P and ending point Q. Let f be the function whose values along C are given by h(t) = f(x(t), y(t)). Use the Fundamental Theorem of Calculus to prove the Fundamental Theorem of Calculus for Line Integrals. Hint: First find h'(t). %3D %3D
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