Questions from College Mathematics

Q: The graph of the marginal revenue function from the sale of x

The graph of the marginal revenue function from the sale of x smart watches is given in the figure. (A) Using the graph shown, describe the shape of the graph of the revenue function R(x) as x increas...

Q: Assume that the rate in Problem 83 is found to be

Assume that the rate in Problem 83 is found to be (A) When is the rate of production greatest? (B) How many barrels of oil Q1t2 will the field produce in the first t years if Q102 = 0? How many bar...

Q: The rate of change of the monthly sales of a newly released

The rate of change of the monthly sales of a newly released football game is given by S′(t) = 500t 1/4 S(0) = 0 where t is the number of months since the game was released and S(t) is the number o...

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: The rate of healing for a skin wound (in square centimeters

The rate of healing for a skin wound (in square centimeters per day) is approximated by A′(t) = -0.9e-0.1t If the initial wound has an area of 7 square centimeters, what will its area A(t) be after...

Q: Repeat Problem 86 if S′(t) = 500t1/4

Repeat Problem 86 if S′(t) = 500t1/4 + 300 and all other information remains the same. Use a graphing calculator to approximate the solution of the equation S(t)= 20,000 to two decimal places. Data f...

Q: An oil tanker aground on a reef is losing oil and producing

An oil tanker aground on a reef is losing oil and producing an oil slick that is radiating outward at a rate given approximately by where R is the radius (in feet) of the circular slick after t minu...

Q: If the rate of labor use in Problem 89 is L

If the rate of labor use in Problem 89 is L′(x) = 2,000x-1/3 and if the first 8 control units require 12,000 labor-hours, how many labor-hours, L(x), will be required for the first x control units?...

Q: An average student enrolled in a steno typing class progressed at a

An average student enrolled in a steno typing class progressed at a rate of N′(t) = 12e-0.06t words per minute per week t weeks after enrolling in a 15-week course. If, at the beginning of the cours...

Q: The area A of a healing wound changes at a rate given

The area A of a healing wound changes at a rate given approximately by where t is time in days and A(1) = 2 square centimeters. What will the area of the wound be in 10 days?