Let F(x,y) =(16xy+6x°sin(7y), 8x2+7xcos(7y)).(a) Is F conservative?O Yes, F is conservativeO No, F is not conservative(b) Let C be the portion of the parabola y=x²-16 from (4,0) to (-4,0). Which of the following statements are true? (Select all that apply.)O By the Fundamental Theorem of Line Integrals,F.dr = f(-4, 0) - f(4, 0), where f(x,y) is a potential function for F.O By independence of path,F.dr, where C' is the line segment from (-4, 0) to (4, 0).F.dr =OBy Green's Theorem,dA, where D is the region bounded by C.F.dr =O None of the above.

sin(7y), 8x2+7x°cos(7y)). vative servative n of the parabola y=x2-16 from (4,0) to (-4,0). Which of the following statements are true? (Select all tl ental Theorem of Line Integrals, F-dr = f(-4, 0) – f(4, 0), where f(x,y) is a potential function for F. %3D e of path, F.dr = F-dr, where C' is the line segment from (-4, 0) to (4, 0).

sin(7y), 8x2+7x°cos(7y)). vative servative n of the parabola y=x2-16 from (4,0) to (-4,0). Which of the following statements are true? (Select all tl ental Theorem of Line Integrals, F-dr = f(-4, 0) – f(4, 0), where f(x,y) is a potential function for F. %3D e of path, F.dr = F-dr, where C' is the line segment from (-4, 0) to (4, 0).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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