9. Suppose (X, Y) have the joint density f(x, y) = cry, r, y ≥ 0; z+y≤1. • (a) Find the normalizing constant c. • (b) Are X, Y independent? • (c) Find the marginal densities and expectations of X, Y. .

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A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: 3. f(x, y) = 5x¹ − 4x5 + 5y¹. Ans.: local minimum 0 at (0, 0), saddle at (1,0)

A: 3. Given that the function                          f(x, y)=5x4-4x5+5y4.

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Q: 5. f(x, y) = (y — x²)(y — 2x²). - Ans.: no extrema, saddle at (0, 0)..

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A: It is an important part of statistics. It is widely used.

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Q: Q2: Find all relative extrema and saddle point of f(x,y) = 3xy +y-x' +3

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A: Solution: From the given information,

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A: Let's find.

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