   Chapter 5.4, Problem 74E ### 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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# Capital Accumulation In Exercises 71-74, you are given the rate of investment d l / d t . Find the capital accumulation over a five-year period by evaluating the definite integralCapital accumulation ∫ 0 5 d l d t d t where t is the time (in years). d I d t = 12 , 000 t ( t 2 + 2 ) 2

To determine

To calculate: The capital accumulation at the rate of investment dldt=12,000t(t2+2)2 over a five-period by evaluating the definite integral.

Explanation

Given Information:

The function is dldt=12,000t(t2+2)2.

Formula used:

The given formula for capital accumulation is,

05dldtdt

Where t is the time (in years)

Calculation:

Consider the function,

dldt=12,000t(t2+2)2

Applying the formula of capital accumulation,

C=05dldtdt

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