Calculus Answers

The fixed cost of a company is 35000 and the variable cost per unit is 500 and the revenue function for sale is X units is given by R(x)=5000X-100X²

I) find the profit function

Ii) break even values

III)the values of X which results in a loss

The demand function is Q=280000-400p

Where Q equals the number of units demanded and p equals the price in dollars of the total cost of producing Q units of the product is estimated by the function

C=350000+300q+0.0015q²

I) how many units should Q produce in order to maximize its annual profit

Ii) what price should be charged

III) determine the annual profit expected

Evaluate the following integrals. (Show your solution)

"1) \\intop 2x\u221ax" "dx"

2) "\\intop" "2\/\u221ax\u00b3" "dx"

. A poster must have 32 sq.in. of printed materials with margins of 4 inches each at the top and 2 inches at each side. Find the dimensions of the whole poster if its area is maximum.

Find the area that us inside r=4 and outside r=4-2sinθ

A particle moves along the parabola y² = 4x with a constant horizontal component velocity of 2 m/s. Find the vertical component of the velocity at the point (1, 2).

Convert (3–√,−1) into polar coordinates (r,θ) so that r≥0 and 0≤θ<2π.

Write z1=3–√+i and z2=1−i in trigonometric form. Then the argument of the quotient z1/z2is given by