7t+a1. The value V of a certain good in terms of the time t is described by the function V = , where aand b are parameters to be determined and the time t is measured in months. Furthermore, we knowthat V(0) = 11 and V(8) =303a. Find the value of a and b.b. When will the value of the good be less than 8?c. Find in which periods of time the value of the good is increasing, and in which periods the valueof the good is decreasing.d. What is the evolution of the value of the good in the long run?

We have to find the value of a and b and monotone intervals. According to our guidelines we can…

7t+a 1. The value V of a certain good in terms of the time t is described by the function V = 7, where a and b are parameters to be determined and the time t is measured in months. Furthermore, we know that V(0) = 11 and V(8) = 2 303 29 a. Find the value of a and b. b. When will the value of the good be less than 8? c. Find in which periods of time the value of the good is increasing, and in which periods the value of the good is decreasing.

7t+a 1. The value V of a certain good in terms of the time t is described by the function V = 7, where a and b are parameters to be determined and the time t is measured in months. Furthermore, we know that V(0) = 11 and V(8) = 2 303 29 a. Find the value of a and b. b. When will the value of the good be less than 8? c. Find in which periods of time the value of the good is increasing, and in which periods the value of the good is decreasing.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 90SE: The function D(p) gives the number of items that will be demanded when the price is p. The...

See similar textbooks

Similar questions

The function D(p) gives the number of items that will be demanded when the price is p. The production cost C(x) is the cost of producing x items. To determine the cost of production when the price is $6, you would do which of die following? a. Evaluate D(C(6)) . b. Evaluate C(D(6)) . c. Solve D(C(x))=6 . d.Solve C(D(p))=6 .
A Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute, is given by v=1761-0.834t, where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 5 seconds?
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.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
Use a calculator to help solve each problem. Free-falling objects After t seconds, a certain falling object has a velocity v given by vt=501-e-0.3t. Which is falling faster after 2 seconds, this object or the skydiver in Exercise 38? 38. Sky diving Before the parachute opens, the velocity v in meters per second of a skydiver is given by vt=501-e-0.2t. Find the initial velocity.