   Chapter 5.4, Problem 76E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Depreciation A company purchases a new machine for which the rate of depreciation can be modeled by d v d t = 10 , 000 ( t − 6 ) ,   0 ≤ t ≤ 5 where V is the value of the machine after t years. Set up and evaluate the definite integral that yields the total loss of value of the machine over the first 3 years.

To determine

To calculate: The total loss of the machine over the first 3 years where rate of depreciation given by function dVdt=10,000(t6),0t5.

Explanation

Given Information:

The rate of depreciation given by function dVdt=10,000(t6).

Calculation:

The total loss of the machine over the first 3 years is,

V=0310,000(t6)dt

Solving the function,

V=03(10000)(t"

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