Calculus Answers

Find the volume of the cube bounded by the coordinate planes and the planes X=2 y=2 and z=2 in the first octant

Findout if these function is even or odd F(x)=2x

A company manufactures and sales x computers per month. The monthly cost and price demand equation are C(x) = 72000 + 60𝑥 Price-demand equation is 𝑝(𝑥) = 200 − 𝑥 30 a. Find the maximum revenue. b. Find the maximum profit and the production level that will realize the maximum profit.  c. The price the company should sell for each computer. 

Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y = x^2 and the planes z = 0 and y + z = 1.

skippy leaves on an highland where she produces two goods. According to the production possibility frontier 100=x²+y² and she consumes all goods herself. A utility function is U=xy. Find a utility maximizing X and Y as well as the value of lamda.

1)                 If f(x) = 3x2 – 2x + 5, find f[1, 2], f[2, 3] and f[1, 2, 3].

prove that the function g(x)=ln(x)-1/4 has a solution in the interval (0,5)

Use the definition of the cotangent function and the quotient rule to prove if f(x)=cotx, than f'(x)= -cosec²x.