Here is some starting work:
Also,
We obtain the same answer for each.
Edit: Put in some equals signs, made a vector.
Hello everybody,
I am stuck on my homework. This question is giving me a headache, I've literally been staring at it for over 30 minutes. Perhaps someone here may be able to answer it (I hope), any help will be greatly appreciated:
Legend:
S= integral
SS= double integral
sub= boundary/limit a
#^n= number raised to exponent n
*= multiply
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Let S be the portion of the paraboloid: z = 9 - x^2 - y^2 which lies above the plane: z= 5, with normal vector N pointing upward (i.e. in the direction of increasing z), and let F be the vector field given by: F(x,y,z)= (x-yz)i + xzj. Verify Stoke's Theorem by evaluation each of the following:
a) The line integral: S sub c (F dr), where C is the boundary of s, oriented counter-clockwise relative to N.
b) The flux integral: SS sub s (curl F) * N dS
so 40pi is the answer to both questions? You also said to "Put in some equals signs, made k a vector." Is there more to this problem? Because I don't know how to do that I asked around and so far, nobody in my class has been able to solve this problem