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13 Nov 2019
#19, #21, #24
Divergence theorem Problem 19. Let V be the solid bounded by the paraboloid 8-a2 -3y2 from above and by the saddle surface2 from below. Find the flux of outward through the boundary of V Problem 20. Let V be the solid bounded by the paraboloid z = 6-x2-y2 from above and by the cone z = VE2+32 from below. Find the flux of F = (z, z, y) outward through the boundary of V. Stokes's theorem Problem 21. Find the circulation of F (y, zy, ) along the curve oriented counterclockwise as seen from above. Problem 22. Find the circulation of F (2yz - ry, 2rz, ry -y) along the curve oriented counterclockwise as seen from above. e Green's formula Problem 23. Use Green's formula to prove that the area of a region bounded by a simple closed curve C is equal to Use this formula to calculate the area of the elliptic diskS1 Problem 24. Calculate the integral where C is the curve ë + ly-1 oriented Counterclockwise
#19, #21, #24
Divergence theorem Problem 19. Let V be the solid bounded by the paraboloid 8-a2 -3y2 from above and by the saddle surface2 from below. Find the flux of outward through the boundary of V Problem 20. Let V be the solid bounded by the paraboloid z = 6-x2-y2 from above and by the cone z = VE2+32 from below. Find the flux of F = (z, z, y) outward through the boundary of V. Stokes's theorem Problem 21. Find the circulation of F (y, zy, ) along the curve oriented counterclockwise as seen from above. Problem 22. Find the circulation of F (2yz - ry, 2rz, ry -y) along the curve oriented counterclockwise as seen from above. e Green's formula Problem 23. Use Green's formula to prove that the area of a region bounded by a simple closed curve C is equal to Use this formula to calculate the area of the elliptic diskS1 Problem 24. Calculate the integral where C is the curve ë + ly-1 oriented Counterclockwise
Jamar FerryLv2
24 May 2019