4. Let X and Y have the joint density f(x, y) = What is P(X>Y > 2) ? e-(x+y) {"th for 0 ≤ z, y<∞ otherwise.
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- Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.Assume x and y are functions of t. Evaluate dydtfor each of the following. x2+yxy=9; dxdt=2,x=4,y=2