Question

F(x, y, z) =< 3xy^2 , xe^z , z^3 >, S is the solid bounded by...

F(x, y, z) =< 3xy^2 , xe^z , z^3 >, S is the solid bounded by the cylinder y2 + z2 = 1 and the planes x = −1 and x = 2 Find he surface area using surface integrals. DO NOT USE Divergence Theorem. Answer: 9π/2

Homework Answers

Answer #1

Any doubt in this then comment below..

For surface area , we ficus on 3 surface...top , bottom , and curved part ...

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of the box...
F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of the box bounded by the coordinate planes and the planes x = 3, y = 2, and z = 1. Find the surface area using surface integrals. DO NOT use divergence theorem.
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = x4i − x3z2j + 4xy2zk, S is the surface of the solid bounded by the cylinder x2 + y2 = 9 and the planes z = x + 4 and z = 0.
Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x ,...
Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x , z^2 > on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x^2 + y^2 = 1. By Surface Integral: By Triple Integral:
Problem (10 marks) Verify the Divergence Theorem for the vector fifield F(x, y, z) = <y,...
Problem Verify the Divergence Theorem for the vector fifield F(x, y, z) = <y, x, z^2>on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x^2 + y^2 = 1. 1.Surface Integral: 2.Triple Integral:
Consider the inward fluxRRS(F·n)dS of the vector field F = y2i + xz3j + z2k where...
Consider the inward fluxRRS(F·n)dS of the vector field F = y2i + xz3j + z2k where S is the surface of the region D bounded by the cylinder x2 + y2 = 16 and the planes z = 1, z = 5, x = √3y, y = 0, x,y ≥ 0. a. [2] Compute the divergence of the vector field F at the point (1,1,−1). b. [7] Transform the surface integral into the triple integral using the divergence theorem and...
Find the volume of the solid bounded by the cylinder x^2+y^2=9 and the planes z=-10 and...
Find the volume of the solid bounded by the cylinder x^2+y^2=9 and the planes z=-10 and 1=2x+3y-z
Let D be the solid in the first octant bounded by the planes z=0,y=0, and y=x...
Let D be the solid in the first octant bounded by the planes z=0,y=0, and y=x and the cylinder 4x2+z2=4. Write the triple integral in all 6 ways.
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux...
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux of F through the surface of the solid bounded by the graphs of the equations. F(x, y, z) = x2i + xyj + zk Q: solid region bounded by the coordinate planes and the plane 3x + 5y + 6z = 30
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux...
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux of F through the surface of the solid bounded by the graphs of the equations. F(x, y, z) = x2i + xyj + zk Q: solid region bounded by the coordinate planes and the plane 3x + 4y + 6z = 24
Q8. Let G be the cylindrical solid bounded by x2 + y2 = 9, the xy-plane,...
Q8. Let G be the cylindrical solid bounded by x2 + y2 = 9, the xy-plane, and the plane ∫∫ z = 2, and let S be its surface. Use the Divergence Theorem to evaluate I = S F · ndS where F(x,y,z) = x3i + y3j + z3k and n is the outer outward unit normal to S.