Question: Let's consider a half sphere with a homogeneous density, where the origin is at.2- Find the stationary points of the function , where a is

Let's consider a half sphere with a homogeneous density, where the origin is at.2- Find the stationary points of the function , where a is a non-zero constant. Identify the nature of these stationary points.3- Let x2uu2v=1 and uv=xy. Find (delxdelu)v and (delxdelu)y.4-Evaluate:ddx0sin(x)e-t2dt,ddx0sin(x)e-xt2dt

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