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Surface Integral Homework: Compute \iint_S \sin y dS
Hm... ok. I think I see what's happening now. Thank a lot for the help.- BurningHot
- Post #5
- Forum: Calculus and Beyond Homework Help
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Surface Integral Homework: Compute \iint_S \sin y dS
How did you end up with r = (x, sin(y), z)? If you take x and z to be the parameters, wouldn't y = cos-1√(x^2+z^2) ? When parameterizing a surface, you use two variables, right? With what I did, my surface ended up being parametrized as \vec{r}(x,y) = <x, y, \sqrt{cos^2y-x^2}>- BurningHot
- Post #3
- Forum: Calculus and Beyond Homework Help
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Surface Integral Homework: Compute \iint_S \sin y dS
Homework Statement Compute the integral \iint_S \sin y dS where S is part of the surface x^2 +z^2 = \cos^2(y) lying between the planes y=0 and y=\pi/2. Homework Equations \iint_S f(x,y,z) dS = \iint_D f(x,y, g(x,y)) \sqrt{g_x^2 +g_y^2 +1}dA \iint_S f(x,y,z) dS = \iint_D...- BurningHot
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- Integral Surface Surface integral
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- Forum: Calculus and Beyond Homework Help