Assignment:
Q1. Find the area of the region bounded by y=1/x and 2x + 2y=5
Q2. Find the area of the region bounded by the graphs of y= -x2 + 2x and y=0
Q3. Find y=f(x) if f”(x)=x^2, f’(0)=7 and f(0)=2
Q4. Using Midpoint rule with n=5 approximate the definite integral ∫30 sqrt(x2 + 2)dx
Q5. The marginal cost function is dc/dx=x + 65 and fixed costs are $125, find the total cost function.
Q6. Find the volume of the solid formed when the graph of the region bounded by y= sqrt(9-x2) and y=1 is revolved about the x-axis.
Q7. 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.
Provide complete and step by step solution for the question and show calculations and use formulas.