The joint density function of x and y is given by f(x, y) = xe^(-x(y+1)) x> 0, y > 0

a. by just looking at f(x, y), say if x and y are independent or not. explain.

b. find the conditional density of x, given y=y. in other words, fx|y(x|y).

c. find the conditional density of y, given x=x.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done

3.4a=57.8 what is the the value of a