Christopher F.

A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1053 cubic feet. The concrete for the base costs ​$8 per square​ foot, the material for the roof... more

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?f(x) = 3x2 − 5x + 2,    [0, 2]If it satisfies the hypotheses, find all numbers c that satisfy the conclusion... more

Let F(x) = (x^3) and G(x) = (f(x))^3 and suppose thata^2 = 12, f(a) = 2, f'(a) = 15, f'(a^3) = 15Find F'(a) and G'(a).

find the points on the ellipse x^2+16y^2=16 that are furthest away from the point(0,-1)using the method of Lagrange Multipliers

Verify the conclusion of​ Green's Theorem by evaluating both sides of the equations for the field F = - 3yi + 3xjTake the domains of integration in each case to be the disk R: x2 + y2 ≤ a2 and its... more

Water is poured into a conical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 25 cm and a base radius of 5 cm. How fast is the water level rising when... more

x    &     y -4    &       16                                                           -2    &        4               0     &        0  2     &       4                ... more

Find an equation of variation in which y varies inversely as x and y=12 when x=3. Then find the value of y when x=20

Is the equation x=1/x + 1

Determine whether the function f: NxN --> Z with f(x,y) = (1-x^2)[y/3] is either:   a) injective b) surjective       Injective function A function f is said to be one-to-one, or... more