Exam 15: Integration

Determine:

The marginal revenue for a product is given by = + 30.Find r.

Determine:

Determine: dq

Determine:

Suppose the rate of change in the number of violent crimes per 100,000 people in the United States can be modeled by = .Find c(t).

If y' = and y(2)= 5,find y.

If y' = 6 - 4x - 3 and y(1)= 2,find y.

If = 1,then k =

For the region in the first quadrant bounded by f(x)= 2x + 1,x = 0,y = 0,and x = 1,approximate the area by evaluating .(Use the right-hand endpoint of each sub-interval.)

For the region in the first quadrant bounded by f(x)= + 2,y = 0,x = 0,and x = 1,approximate the area by evaluating .(Use the right-hand endpoint of each sub-interval.)

Find the differential of the function in terms of x and dx. y = ln( - 3x + 1)

If = 1,then k =

By using differentials,an approximation of ln(1.03)is

A company has determined that its marginal revenue function (in dollars)is given by where x is the number of units made.Find the total revenue for making 12 units by evaluating .

A company has determined that its marginal revenue function (in dollars)is given by where x is the number of units sold.Find the total revenue for selling 10 units by evaluating .

Determine:

The rate of change in cost of producing a product is given by C'(x)= + 2x.Find the increase in cost from producing 5 units to producing 15 units.

A bacteria population is increasing at a rate of = 3 .Find p as a function of t.

Determine: dx