1. Maintenance costs for a building generally increase as the building gets older. From past records, the rate of increase in maintenance costs (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? Set up the definite integrals to answer these questions, and then integrate in your calculator (or you can integrate by hand).
1. Maintenance costs for a building generally increase as the building gets older. From past records, the rate of increase in maintenance costs (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? Set up the definite integrals to answer these questions, and then integrate in your calculator (or you can integrate by hand).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:1. Maintenance costs for a building generally increase as the building gets older. From past records, the rate of
increase in maintenance costs (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?
What will be the total cost of maintaining the building on the 10th year only?
b)
Set up the definite integrals to answer these questions, and then integrate in your calculator (or you can integrate
by hand).
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