Let and C be the boundary of for z ≥ 3, oriented upward. Find .
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Originally Posted by TheRekz Let and C be the boundary of for z ≥ 3, oriented upward. Find . So to use stokes theorem we need to find the curl of the vector Now we need the normal vector to the surfe We need to integrate over the circle Just change to polar coordinates to finish
here's what I got: is this correct?
Originally Posted by TheRekz here's what I got: is this correct? Note quite you jumped the gun on the This will do it
I got it! thanks
Last edited by TheRekz; May 6th 2009 at 09:19 PM.
Originally Posted by TheRekz I got but it marks the answer as wrong evaluated from 0 to 2pi and I got the above answer
what is the normal vector to this surface: the surface z = 9 - x^2 for 0 ≤ x ≤ 3 and -6 ≤ y ≤ 6, oriented upward
Originally Posted by TheRekz what is the normal vector to this surface: the surface z = 9 - x^2 for 0 ≤ x ≤ 3 and -6 ≤ y ≤ 6, oriented upward write the function in the form This gives
so if and what is dS here as what you did with the question above?
Originally Posted by TheRekz so if and what is dS here as what you did with the question above? Where n is a normal unit vector from the surface This will always give you a normal unti vector. Note that IF z can be isolated on your surface then ie then and then
so dS above is equal to 2xi + k dA ??
ok after doing all that I got: I need the integration surface now... having a hard time to set it
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