Question: Prove that the U(0, theta) density belongs to a scale family.
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Question:
Prove that the U(0, theta) density belongs to a scale family.
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- Write a function from R^2 to R, that has a tangent plane with normal (1,1,1) at exactly one point. Give an explanation for why this is the case.Find the average value of r over the solid sphere ρ ≤ a (spherical coordinates).12) Find the center of mass of the lamina in exercise 11 if the density at any point is proportional to the square of its distance from the origin.