(Solution Library) (a) Parametrize the upper surface of the portion of the sphere x^2+y^2+z^2=4, contained within the cylinder x^2+y^2=2y. (b) Compute the area of
Question: (a) Parametrize the upper surface of the portion of the sphere
\({{x}^{2}}+{{y}^{2}}+{{z}^{2}}=4\), contained within the cylinder \({{x}^{2}}+{{y}^{2}}=2y\).
(b) Compute the area of that surface.
Deliverable: Word Document 
![[Solution Library] If x(t)=(t, sin 4t, cos](/images/solutions/MC-solution-library-45163.jpg "[Solution Library] If x(t)=(t, sin 4t, cos 4t), 0≤ t≤ π")
[Solution Library] If x(t)=(t, sin 4t, cos 4t), 0≤ t≤ π
(See Solution) Labeling the axes and intercepts, etc. make a neat
(Step-by-Step) Find the equation and sketch the closed portion of
![[Steps Shown] Find the first partial derivatives](/images/solutions/MC-solution-library-45166.jpg "[Steps Shown] Find the first partial derivatives of f(x,y)=x^2y")
[Steps Shown] Find the first partial derivatives of f(x,y)=x^2y
Solution: For the surface z=√x^2+y^2 find The equation
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