There is a sphere x²+y²+z²=4. I want to parametrize the upper portion contained within the cylinder, x²+y²=2y. Here's my attempt at a parametrization... Would appreciate any feedback f(r,θ)=(r Cos θ, r Sin θ, √(4-2r Sin θ)) 0<=θ<=pi 0<=r<=2
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Originally Posted by thepongofping There is a sphere x²+y²+z²=4. I want to parametrize the upper portion contained within the cylinder, x²+y²=2y. Here's my attempt at a parametrization... Would appreciate any feedback f(r,θ)=(r Cos θ, r Sin θ, √(4-2r Sin θ)) 0<=θ<=pi 0<=r<=2 That looks great to me!
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