Any help would be appreciated on finding area of region, total cost function, midpoint rule. marginal cost.
(See attached file for full problem description)
A. Find the area of the region bounded by y=1/x and 2x + 2y=5
B. Find the area of the region bounded by the graphs of y= -x^2 + 2x and y=0
C. Find y=f(x) if f"(x)=x^2, f'(0)=7 and f(0)=2
D. Using Midpoint rule with n=5 approximate the definite integral ∫ sqrt(x^2 + 2)dx
E. The marginal cost function is dc/dx=x + 65 and fixed costs are $125, find the total cost function.
F. Find the volume of the solid formed when the graph of the region bounded by y= sqrt(9-x^2) and y=1 is revolved about the x-axis.
G. A company produces a product for which the marginal cost of producing x units is dC/dx= .12x + 8 and fixed costs are $1500. Find the average cost of producing 100 units.
This solution is comprised of a detailed explanation to find the area of the region bounded by y=1/x and 2x + 2y=5.