The water consumption (in millions of liters per year) in the country A is given by r = f(t), where t is in years and t = 0 is the start of 2015. a. Write a definite integral representing the total amount of water consumed between the start of 2017 and the start of 2022. b. Since the start of 2016 (t = 1), the rate was modeled by r = =. Using a left Riemann sum with five subdivisions, find an approximate value for the definite integral in part (a). c. Compute the exact value of the definite integral in part (a) using a substitution. d. Find the error of the approximation in part (b). Do you think it was a good approximation?
The water consumption (in millions of liters per year) in the country A is given by r = f(t), where t is in years and t = 0 is the start of 2015. a. Write a definite integral representing the total amount of water consumed between the start of 2017 and the start of 2022. b. Since the start of 2016 (t = 1), the rate was modeled by r = =. Using a left Riemann sum with five subdivisions, find an approximate value for the definite integral in part (a). c. Compute the exact value of the definite integral in part (a) using a substitution. d. Find the error of the approximation in part (b). Do you think it was a good approximation?
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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I can't find a reasonable a for the definite
Transcribed Image Text:The water consumption (in millions of liters per year) in the country A is given by r = f(t), where t
is in years and t = 0) is the start of 2015.
a. Write a definite integral representing the total amount of water consumed between the start of
2017 and the start of 2022.
b. Since the start of 2016 (t = 1), the rate was modeled by r = . Using a left Riemann sum with
five subdivisions, find an approximate value for the definite integral in part (a).
c. Compute the exact value of the definite integral in part (a) using a substitution.
d. Find the error of the approximation in part (b). Do you think it was a good approximation?
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