Question

Use Stokes' Theorem to evaluate ∫ C F ⋅ dr. In each case C is oriented...

Use Stokes' Theorem to evaluate ∫ C F ⋅ dr. In each case C is oriented counterclockwise as viewed from above. F ( x , y , z ) = e − x ˆ i + e x ˆ j + e z ˆ k

C is the boundary of the part of the plane 2 x + y + 2 z = 2 in the first octant ∫ C F ⋅ d r =

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 5yi + xzj + (x + y)k, C is the curve of intersection of the plane z = y + 7 and the cylinder x2 + y2 = 1.
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 8z) ...
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 8z) i  +  (6x + y) j  +  (7y − z) k   and C is the curve of intersection of the plane  x + 3y + z  =  24  with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Please explain steps. Thank you:)
Use Stokes' Theorem to evaluate    C F · dr where C is oriented counterclockwise as...
Use Stokes' Theorem to evaluate    C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 6xzj + exyk, C is the circle x2 + y2 = 9, z = 2.
Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the...
Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the surface S is the part of the paraboloid : z = 4- x^2 - y^2 that lies above the xy-plane. Assume C is oriented counterclockwise when viewed from above.
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 5z) ...
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 5z) i  +  (3x + y) j  +  (4y − z) k   and C is the curve of intersection of the plane  x + 2y + z  =  16  with the coordinate planes
Evaluate∫ C F ⋅ d r , where F(x,y,z)={e^−4x,e^2x,1e^z} and C is the boundary of the...
Evaluate∫ C F ⋅ d r , where F(x,y,z)={e^−4x,e^2x,1e^z} and C is the boundary of the part of the plane 3x+7y+5z=3 lying in the first octant, traversed counterclockwise as viewed from above. HINT: Use Stokes' Theorem.
Let F(x, y, z) = 4yz, 5xy, 2xz . Apply Stokes' Theorem to evaluate C F...
Let F(x, y, z) = 4yz, 5xy, 2xz . Apply Stokes' Theorem to evaluate C F · dr by finding the flux of curl(F) where C is the square with vertices (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2) oriented counterclockwise as viewed from above.
Evaluate H C F · dr, if F(x, y, z) = yi + 2xj + yzk,...
Evaluate H C F · dr, if F(x, y, z) = yi + 2xj + yzk, and C is the curve of intersection of the part of the paraboliod z = 1 − x 2 − y 2 in the first octant (x ≥ 0, y ≥ 0, z ≥ 0) with the coordinate planes x = 0, y = 0 and z = 0, oriented counterclockwise when viewed from above. The answer is pi/4+4/15
Use Stokes' Theorem to evaluate    S curl F · dS. F(x, y, z) = x2...
Use Stokes' Theorem to evaluate    S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i...
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT