Questions from College Mathematics

Q: Find the family of all antiderivatives of each derivative. /

Find the family of all antiderivatives of each derivative.

Q: Use differentiation to justify the formula /

Use differentiation to justify the formula

Q: find the limiting matrix for the indicated standard form. Find the

find the limiting matrix for the indicated standard form. Find the long-run probability of going from each nonabsorbing state to each absorbing state and the average number of trials needed to go from...

Q: Find the family of all antiderivatives of each derivative. /

Find the family of all antiderivatives of each derivative.

Q: Assuming that x < 0, use differentiation to justify the formula

Assuming that x [Hint: Use the chain rule after noting that ln |x| = ln ( -x) for x 6 0.]

Q: The marginal price at a supply level of x bottles of laundry

The marginal price at a supply level of x bottles of laundry detergent per week is given by Find the price–supply equation if the distributor of the detergent is willing to supply 7...

Q: Show that the indefinite integral of the difference of two functions is

Show that the indefinite integral of the difference of two functions is the difference of the indefinite integrals.

Q: The weekly marginal revenue from the sale of x pairs of tennis

The weekly marginal revenue from the sale of x pairs of tennis shoes is given by where R(x) is revenue in dollars. Find the revenue function. Find the revenue from the sale of 1,000 pairs of shoes....

Q: In 2016, U.S. consumption of renewable energy was

In 2016, U.S. consumption of renewable energy was 9.97 quadrillion Btu (or 9.97 * 1015 Btu). Since the 1950s, consumption has been growing at a rate (in quadrillion Btu per year) given by ′(t) = 0.00...

Q: Repeat Problem 81 if the monthly rate of increase in sales is

Repeat Problem 81 if the monthly rate of increase in sales is found to be approximated by S′(t) = 20 - 20e-0.05t 0 ≤ t ≤ 24 Data from Problem 81: (A) What will be the total sales S1t2 t months afte...