2 Suppose that f(x, y) = 5, and D = {(x, y) | x² + y² ≤9}. Then the double integral of f(x, y) over D is f(x, y)dxdy = JD

5. Prove that the equation has no solution in an ordered integral domain.

Assume x and y are functions of t. Evaluate dydtfor each of the following. 4x36xy2+3y2=228; dxdt=3,x=3,y=4

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.