Math question???? Someone please help!!!!!

Posted on 2014-11-21 10:28:00 in Math by DARREN

Q 1. Verify that F = ?V and evaluate the line integral of F over the given path. 

F = (2 cos y, ?2x sin y) , V(x, y) = 2x cos y; upper half of the unit circle centered at  the origin, oriented counterclockwise.

Q 2. Verify that F = ? ? if F = (x6y7, x7y6) and ? (x,y) = x7y7. Evaluate the line integral of F

over the path defined by the upper half of the unit circle centered at the origin oriented

counterclockwise.

Q 3. Verify that F = ?V and evaluate the line integral of F over the given path.

 

V(x, y, z) = y + z ln(x); circle (x ? 3)2 + y2  = 1 in the

clockwise direction.

Q 4. Find a potential function for F or determine that F is not conservative. (If F is not

conservative, enter NOT CONSERVATIVE.)

F = (8z, 5, 8x)

Q 5. Find a potential function for F or determine that F is not conservative. (If F is not

conservative, enter NOT CONSERVATIVE.)

F = 4xj + 3yk

Q 6. Find a potential function for or determine that F is not conservative. (If F is not

conservative, enter NOT CONSERVATIVE.)

F = 4y2i + (8xy + ez)j + yezk

Q 7. Find a potential function for F or determine that F is not conservative. (If F is not

conservative, enter NOT CONSERVATIVE.)

F = (7z sec2x, 7z, 7y + 7 tan x)

Q 8. Find a potential function for F or determine that F is not conservative. (If F is not

conservative, enter NOT CONSERVATIVE.)

F = (2xy + 5, x2 ? 6z, ?6y)

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