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Please answer question 7 with details on

Please answer question 7 with details on

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Please answer question 7 with details on how to do it. Please make handwriting legible. Thank you.

7. Use the Fundamental Theorem of Line Integrals to evaluate .(6xy, 3x? + 6y²) · dr where C is any path from (-1,2) to (3, –3). Use Green's Theorem to calculate , x²y³dx + (xy – y²)dy where C is the boundary of the region lying between the graphs of y = x and y = x² orientated in the counterclockwise direction. 9. Find the curl and divergence of F. 8. a. (xy)i + (yz)j+ (xz)k b. (ze*)i + (y?e*)j+ (xy³e*z)k
Transcribed Image Text:7. Use the Fundamental Theorem of Line Integrals to evaluate .(6xy, 3x? + 6y²) · dr where C is any path from (-1,2) to (3, –3). Use Green's Theorem to calculate , x²y³dx + (xy – y²)dy where C is the boundary of the region lying between the graphs of y = x and y = x² orientated in the counterclockwise direction. 9. Find the curl and divergence of F. 8. a. (xy)i + (yz)j+ (xz)k b. (ze*)i + (y?e*)j+ (xy³e*z)k
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