Question

Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS  ...

Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F  =   cos(10y + 5z) i  +  9 ln(x2 + 10z) j  +  3z2 k,  where S is the surface of the region bounded within by the graphs of  z  =  √ 25 − x2 − y2  ,  x2 + y2  =  7,  and  z  =  0. Please explain steps. Thank you :)

Homework Answers

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
Use the divergence theorem to find the outward flux (F · n) dS S of the...
Use the divergence theorem to find the outward flux (F · n) dS S of the given vector field F. F = y2i + xz3j + (z − 1)2k; D the region bounded by the cylinder x2 + y2 = 25 and the planes z = 1, z = 6
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
Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through...
Use the Divergence Theorem to evaluate 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) = xi + xyj + zk Q: solid region bounded by the coordinate planes and the plane 3x + 4y + z = 24
8. Use the Divergence Theorem to compute the net outward flux of the field F= <-x,...
8. Use the Divergence Theorem to compute the net outward flux of the field F= <-x, 3y, z> across the surface S, where S is the surface of the paraboloid z= 4-x^2-y^2, for z ≥ 0, plus its base in the xy-plane. The net outward flux across the surface is ___. 9. Use the Divergence Theorem to compute the net outward flux of the vector field F=r|r| = <x,y,z> √x^2 + y^2 + z^2 across the boundary of the region​...
Use the Divergence Theorem to find the outward flux of F=9y i+5xy j−6z k across the...
Use the Divergence Theorem to find the outward flux of F=9y i+5xy j−6z k across the boundary of the region​ D: the region inside the solid cylinder x2+y2≤4 between the plane z=0 and the paraboloid z=x2+y2 The outward flux of F=9y i+5xy j−6z k across the boundry of region D is____
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.
Evaluate the flux integral ∫ ∫ S F · n dS. F = 〈8, 0, z〉,...
Evaluate the flux integral ∫ ∫ S F · n dS. F = 〈8, 0, z〉, S is the boundary of the region bounded above by z = 25 − x2 − y2 and below by z = 1 (n outward). Enter an exact answer. Do not use decimal approximations.
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) = ey tan(z)i + y 3 − x2 j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 − x4 − y4, −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
Use the divergence theorem to find the outward flux of F across the boundary of the...
Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =x^2i -2xyj + 5xzk ​D: The region cut from the first octant by the sphere x^2+y^2+z^2=1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT