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3. Maintenance costs for a building generally increase as it gets older. From past records, the rate of increase in maintenance cost (in dollars per year) for a particular apartment complex is given approximately by M'(t) = 90t2 + 5,000 0

3. Maintenance costs for a building generally increase as it gets older. From past records, the rate of increase in maintenance cost (in dollars per year) for a particular apartment complex is given approximately by M'(t) = 90t2 + 5,000 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Maintenance costs for a building generally increase as it gets older. From past records, the rate of increase in maintenance cost (in dollars per year) for a particular apartment complex is given approximately by M'(t) = 90t2 + 5,000 0<t< 10 Where t is the age of the apartment complex in years and M(t) is the total (accumulated) cost of maintenance for t years. a) What will be the total cost of maintaining the building the first 5 years after it was built? b) What will be the total cost of maintaining the building on the 10th year only? Write the definite integrals that will give the answer to these questions and then integrate by hand. Write your answer to each part in a full sentence and include appropriate units
Transcribed Image Text:3. Maintenance costs for a building generally increase as it gets older. From past records, the rate of increase in maintenance cost (in dollars per year) for a particular apartment complex is given approximately by M'(t) = 90t2 + 5,000 0<t< 10 Where t is the age of the apartment complex in years and M(t) is the total (accumulated) cost of maintenance for t years. a) What will be the total cost of maintaining the building the first 5 years after it was built? b) What will be the total cost of maintaining the building on the 10th year only? Write the definite integrals that will give the answer to these questions and then integrate by hand. Write your answer to each part in a full sentence and include appropriate units
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