(a) Find the surface area of the torus given by ,78.96 int S,r(u,v)=(2 cosu)cosvi (2 cosu)sinvj sinuk where the domain D is given by 0

Question

(a) Find the surface area of the torus given by

,78.96

\int S,r(u,v)=(2 cosu)cosvi (2 cosu)sinvj sinuk

where the domain

D

is given by

0<=u<=2\pi

and

0<=v<=2\pi

. (b) Evaluate the surface integral

\int_S \int (x z)dS

where

S

is the first-octant portion of the cylinder

y^(2) z^(2)=9

between

x=0

and

x=4

. (c) Let

Q

be the solid region bounded by the coordinate planes and the plane

2x 2y z=6

, and let

F=\xi y^(2)j zk

. Find

\int_S \int F*NdS

where

S

is the surface of

Q

. [8, 9, 8]

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Expert Answer to - (a) Find the surface area of the torus given by ,78.96  int S,r(u,v)=(2 cosu)cosvi (2 cosu)sinvj sin

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Solution for - (a) Find the surface area of the torus given by ,78.96  int S,r(u,v)=(2 cosu)cosvi (2 cosu)sinvj sin

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This an additional answer to - (a) Find the surface area of the torus given by ,78.96  int S,r(u,v)=(2 cosu)cosvi (2 cosu)sinvj sin

(Solved): (a) Find the surface area of the torus given by ,78.96 \int S,r(u,v)=(2 cosu)cosvi (2 cosu)sinvj sin ...