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3. Use the fact that F =< 2xye*²y x²ex²y > is a conservative vector field to evaluate SF. dr when C is the path r(t) =< t – 1,t² + 1>, 0

3. Use the fact that F =< 2xye*²y x²ex²y > is a conservative vector field to evaluate SF. dr when C is the path r(t) =< t – 1,t² + 1>, 0

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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Did I use the right formula for this question? Thanks!
600 3. Use the fact that F =< 2xye*²y,x²ex²y > is a conservative vector field to evaluate SF·dr when C is the path r(t) =< t – 1, t² + 1 >, 0 <ts 2. du = Szege du: Se"du= dx du = 2xy dx e 2xy [o,2] f(x, 4) = e*g SF dř- f (x(e), y(0))- f(x(0), q0) = f(1,5)-f(-1,1) x(0) = 6-1 = -1 X(z) = 2-1= I 401=02+1= y12) = 2?+1= s X(t)= t-1 e - e e - e = 147.413159103 ndary hat have .ce of F is ***** FIVE STAR.
Transcribed Image Text:600 3. Use the fact that F =< 2xye*²y,x²ex²y > is a conservative vector field to evaluate SF·dr when C is the path r(t) =< t – 1, t² + 1 >, 0 <ts 2. du = Szege du: Se"du= dx du = 2xy dx e 2xy [o,2] f(x, 4) = e*g SF dř- f (x(e), y(0))- f(x(0), q0) = f(1,5)-f(-1,1) x(0) = 6-1 = -1 X(z) = 2-1= I 401=02+1= y12) = 2?+1= s X(t)= t-1 e - e e - e = 147.413159103 ndary hat have .ce of F is ***** FIVE STAR.
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