QUESTION 5 a) Let F(x, y, z)=xyi + (y² + cosz)j + ek where S is the solid bounded by the cone z = √√9x² +9y² and the plane z=6. Use Divergence theorem to calculate ff Fonds. b) Use Stokes Theorem to evaluate fF.dr where F(x, y, z)=xzi + xy j + z²k and C is the boundary of the portion of the plane 3x+3y+z=3 in the first octant oriented counter

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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QUESTION 5
a) Let F(x, y, z)= xyi + (y² + cosz)j + ek where S is the solid bounded by the cone
z = √9x² +9y² and the plane z=6. Use Divergence theorem to calculate
fff.nds.
b) Use Stokes Theorem to evaluate $F.dr where F(x,y,z)=xzỉ + xy j +z²k and C is
the boundary of the portion of the plane 3x+3y + z =3 in the first octant, oriented counter
clockwise.
Transcribed Image Text:QUESTION 5 a) Let F(x, y, z)= xyi + (y² + cosz)j + ek where S is the solid bounded by the cone z = √9x² +9y² and the plane z=6. Use Divergence theorem to calculate fff.nds. b) Use Stokes Theorem to evaluate $F.dr where F(x,y,z)=xzỉ + xy j +z²k and C is the boundary of the portion of the plane 3x+3y + z =3 in the first octant, oriented counter clockwise.
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