Chapter 10.1, Problem 71E

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t)=2t+1 , express the area burned as a function of time, t (minutes).

The height h of a projectile is a function of the time t it is in die air. The height in feet for t seconds is given by the function h(t)=-16t2+96t . What is the domain of die function? What does the domain mean in the context of die problem?

Need help in business calculus I would love some help with finding inflection points for f"(x)=-4(x+7)^3(x-3)^5. I am familiar with finding inflection points for f'(x) but not f"(x).  Please help, thank you!

Pls help ASAP

The revenue in dollars for a product is given by the function R(x) = 36x- 0.01x² where x is the number of units sold. What is the average rate of change in revenue as increases from 10 to 20 units? $35.70 $35.80 $35.50 O $35.60

Water is being drained from a pool. The volume of water in the pool t minutes after it began draining is given by the function V (t) = 4,522(0.94). Which of the following is closest to the percent of the volume that has drained out of the pool after 10 minutes? (1) 6% (3) 54% (2) 46% (4) 60%

(Ecology) A sewage treatment plant accidentally discharged untreated sewage into a lake. This affected the amount of dissolved oxygen in the lake water. Experimental data suggested that the amount of oxygen in the lake follows the function with t measured in days. Is oxygen increasing or decreasing at t = 5 days? At t = 15 days?