The volume of water (in liters) in a reservoir after t hours is given by the function V(t) for 0 < t < 10. The graph of the derivative V'(t) is shown below. V'(t) 2 6 -2 -4 After 10 hours, the volume of water in the tank was 51. What was the volume of water in the at t = 0? (Hint: Note that there was more water at the start than at the end.)

The volume of water (in liters) in a reservoir after t hours is given by the function V(t) for 0 < t < 10. The graph of the derivative V'(t) is shown below. V'(t) 2 6 -2 -4 After 10 hours, the volume of water in the tank was 51. What was the volume of water in the at t = 0? (Hint: Note that there was more water at the start than at the end.)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

See similar textbooks

Similar questions

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
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 radius r, in inches, of a spherical balloon isrelated to the volume, V, by r(V)=3V43 . Air is pumped into the balloon, so the volume after t seconds is given by V(t)=10+20t . a. Find the composite function r(V(t)) . b.Find the exact time when the radius reaches 10 inches.
If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.
The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?
Let f(x)=1x . Find the number b such that the average rate of change off on the interval (2,b) is 110 .
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
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?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14