please send handwritten solution for Q6 5. Let U be the part of the hyperboloid x² + y² +2 = 2z² shown below that lies below the plane z = 3oriented with downward-facing normal vectors. Let F (x, y, z) = (-yz, xz, x² + y²). Find ſfy curl F · d S.SU Mathematics6. Let F(x,y,z) = (x + y, –2y + z,8z – x) and let U be the sphere where x² + y² + z²with outward-facing normal vectors. Calculate SSy F · d S . (In case it is helpful, a sphere of radius R hasvolume aR³ and surface area 47R².)= 25 oriented

Answered: Image /qna-images/answer/516e4c23-3f67-4e0b-9c0e-968f0db66a80.jpg

6. Let F(x,y,z) = (x+y,–2y + z,8z – x) and let U be the sphere where x2 + y? + z2 with outward-facing normal vectors. Calculate Sfy F volume 7R3 and surface area 47R².) = 25 oriented ·d S. (In case it is helpful, a sphere of radius R has

6. Let F(x,y,z) = (x+y,–2y + z,8z – x) and let U be the sphere where x2 + y? + z2 with outward-facing normal vectors. Calculate Sfy F volume 7R3 and surface area 47R².) = 25 oriented ·d S. (In case it is helpful, a sphere of radius R has

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 49E

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Question

please send handwritten solution for Q6

5. Let U be the part of the hyperboloid x² + y² +2 = 2z² shown below that lies below the plane z = 3
oriented with downward-facing normal vectors. Let F (x, y, z) = (-yz, xz, x² + y²). Find ſfy curl F · d S.
SU Mathematics
6. Let F(x,y,z) = (x + y, –2y + z,8z – x) and let U be the sphere where x² + y² + z²
with outward-facing normal vectors. Calculate SSy F · d S . (In case it is helpful, a sphere of radius R has
volume aR³ and surface area 47R².)
= 25 oriented

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