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finding area of region, total cost function, midpoint rule

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Any help would be appreciated on finding area of region, total cost function, midpoint rule. marginal cost.

(See attached file for full problem description)

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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

3
D. Using Midpoint rule with n=5 approximate the definite integral ∫ sqrt(x^2 + 2)dx
0

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.

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