Exam 15: Integration

Determine:

A manufacturer's marginal revenue function is = 200 - 6q,where r is in dollars.What is the change in revenue if the number of units sold increases from q = 10 to q= 20?

Determine:

A bacteria population is increasing at a rate of = 8t .Find p as a function of t.

Determine:

A company has determined that its marginal cost function (in dollars)is given by where x is the number of units made.Find the total cost for making 12 units by finding the area in the first quadrant bounded by and the lines y = 0,x = 0,and x = 12.

By using differentials,an approximation of is

If the rate of change of a company's revenue can be modeled by = 712t,then find r(t)the revenue function.

Determine: dx

Determine: dx

Determine: dx

After weeks of radio promotion,a shoe store finds that its sales change at a rate given by where t is the number of days after the advertising ends and S is in dollars.Find the total sales for the first week after the promotion ends.

Find y subject to y' = (1 + 7 ; y(0)= 1.

For the region bounded by f(x)= 4 - x,y = 0,x = 0,and x = 3,approximate the area by evaluating .(Use the left-hand endpoint of each subinterval.)

Evaluate:

Determine:

A manufacturer's marginal cost function is = 0.6(0.2q - ,where c is the total cost (in dollars)of producing q units of a product.If the manufacturer increases output from 50 units to 100 units,determine the change in total cost.

Find the indefinite integral + dx.

Determine: dx

Determine: