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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 5.4, Problem 74E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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 integral

Capital 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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Sect-5.1 P-1CPSect-5.1 P-2CPSect-5.1 P-3CPSect-5.1 P-4CPSect-5.1 P-5CPSect-5.1 P-6CPSect-5.1 P-7CPSect-5.1 P-8CPSect-5.1 P-1SWUSect-5.1 P-2SWU
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