A computer is purchased for $5000. Its value in dollars after t years can be approximated by V(t)=5000 / (3t+1)^2, where 0≤t≤4. (a) Find the value of the computer 3 years after purchase. (b) At time t=3 years, use a derivative to estimate how much the value will change within the next year.

A computer is purchased for $5000. Its value in dollars after t years can be approximated by V(t)=5000 / (3t+1)^2, where 0≤t≤4. (a) Find the value of the computer 3 years after purchase. (b) At time t=3 years, use a derivative to estimate how much the value will change within the next year.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

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Question

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Part 1

A computer is purchased for

$5000.

Its value in dollars after t years can be approximated by

V(t)=5000 / (3t+1)^2,

where

0≤t≤4.

(a) Find the value of the computer

years after purchase.

(b) At time

t=3

years, use a derivative to estimate how much the value will change within the next year.

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