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7. Let x² - y² 2xy '(x² + y²)²¹ (x² + y²)²) when (x,y) # (0,0). a) Determine the potential o to F such that o(2,1)= 3. (Ch. 15.2) b) Compute the line integral F(x,y) = ( [F F.dr where C is the curve which is parameterized by r(t) = (t + 1,3 - 1) with start point t = 0 and end point t= 1. (Ch. 15.4)

7. Let x² - y² 2xy '(x² + y²)²¹ (x² + y²)²) when (x,y) # (0,0). a) Determine the potential o to F such that o(2,1)= 3. (Ch. 15.2) b) Compute the line integral F(x,y) = ( [F F.dr where C is the curve which is parameterized by r(t) = (t + 1,3 - 1) with start point t = 0 and end point t= 1. (Ch. 15.4)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. Let x² - y² 2xy (x² + y²)²³ (x² + y²)²² F(x,y) = (- a) Determine the potential o to F such that o(2,1)= 3. (Ch. 15.2) b) Compute the line integral J -) when (x,y) (0,0). F.dr where C is the curve which is parameterized by r(t) = (t + 1,3 - 1) with start point t = 0 and end point t= 1. (Ch. 15.4) /1_)
Transcribed Image Text:7. Let x² - y² 2xy (x² + y²)²³ (x² + y²)²² F(x,y) = (- a) Determine the potential o to F such that o(2,1)= 3. (Ch. 15.2) b) Compute the line integral J -) when (x,y) (0,0). F.dr where C is the curve which is parameterized by r(t) = (t + 1,3 - 1) with start point t = 0 and end point t= 1. (Ch. 15.4) /1_)
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