5b) Find the volume of the solid under the surface f(x, y) = 2et'ty and above...
Let X and Y have join density 6 f(x, y) =-(x + y)2, 0 < x < 1, 0 < y < 1
With double integral find surface area when y=e", y = x, y = 4 and axis y with y <et
9) Find the flux of the field =< 3x, -y, -z > through the surface of the box in the first octant bounded by the coordinate axis and the planes x = 1, y = 2, z = 3
Please help me solve this differential Equation show all steps Find a continuous solution satisfying +y-f(x), where f() Ji 10 { 0<r<1 > 1 and y(0) -0.
Find the volume of the solid enclosed by the paraboloid z = 5x2 + 5y 2 and the planes x = 0, y = 3, y = x, z = 1225 3 Evaluate the double integral. SS 9. y2 - xdA, D = {lar,y) |0<y< 4,0 <r<y} 24 Evaluate the double integral. I, 4xy dA, D is the triangular region with vertices (0,0), (1, 2), and (0,
Find Var(2X-Y) Two random variables X and Y are i.i.d. and their common p.d.f. is given by f )- c(1+r) if 0 <r < 1. otherwise. f(3) = 10
Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of y; and x = 0,0 < y < 1 about the x-axis. = Volume - s": f(y)dy where, f(y) = Preview What is the volume? Preview
9) Find the absolute maxima and minima of the function f(x,y) = x2 + xy + y2 on the square -8 < x,y 5 8
solve for c such that f(x,y) is a valid density function. Seiten f(x, y) = 1<x<y <3 otherwise 0,
(10 pts) The joint distribution of X and Y is given by: f(x,y) = 1/y, 0 < x < y < 1. Derive the distribution of Z= Y/X. You must use both the methods (CDF & Transforma- tion).