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4. In the city of Calcary, temperatures tend to range from a low of –15° Celsius to a high of 30" Celsius. The number of days, in one year, that the city experiences temperatures below T degrees Celsius, is given by D(T) = [ 14e dx - 15 s Ts 30 (a) As part of a project on reducing energy consumption due to heating you are asked to estimate the following quantity: The number of days, in one year, that the temperature in Calcary is below 0" Celsius. If you had to make sure to underestimate this quantity, which numerical integration method would you use? Justify.

4. In the city of Calcary, temperatures tend to range from a low of –15° Celsius to a high of 30" Celsius. The number of days, in one year, that the city experiences temperatures below T degrees Celsius, is given by D(T) = [ 14e dx - 15 s Ts 30 (a) As part of a project on reducing energy consumption due to heating you are asked to estimate the following quantity: The number of days, in one year, that the temperature in Calcary is below 0" Celsius. If you had to make sure to underestimate this quantity, which numerical integration method would you use? Justify.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 44EQ
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Instead of using numerical integration methods, you are now asked to use the content (Ь) regarding Taylor series to estimate the number of days as stated in part (a). Find a series expressing this number of days. Justify. Series giving the number of days: Σ (c) taking the sum of the first N terms. Determine the minimum value of N that is required to guarantee and error of less than 102. Justify. You do NOT need to compute the sum after finding N. You are now asked to approximate the value of the series that you found in part (b) by You can use a calculator for basic arithmetic (addition, subtraction, multiplication, division).
Transcribed Image Text:Instead of using numerical integration methods, you are now asked to use the content (Ь) regarding Taylor series to estimate the number of days as stated in part (a). Find a series expressing this number of days. Justify. Series giving the number of days: Σ (c) taking the sum of the first N terms. Determine the minimum value of N that is required to guarantee and error of less than 102. Justify. You do NOT need to compute the sum after finding N. You are now asked to approximate the value of the series that you found in part (b) by You can use a calculator for basic arithmetic (addition, subtraction, multiplication, division).
4. In the city of Calcary, temperatures tend to range from a low of –15" Celsius to a high of 30" Celsius. The number of days, in one year, that the city experiences temperatures below T degrees Celsius, is given by D(T) = 14e - 15 s Ts 30 dx -15 (a) As part of a project on reducing energy consumption due to heating you are asked to estimate the following quantity: The number of days, in one year, that the temperature in Calcary is below 0° Celsius. If you had to make sure to underestimate this quantity, which numerical integration method would you use? Justify.
Transcribed Image Text:4. In the city of Calcary, temperatures tend to range from a low of –15" Celsius to a high of 30" Celsius. The number of days, in one year, that the city experiences temperatures below T degrees Celsius, is given by D(T) = 14e - 15 s Ts 30 dx -15 (a) As part of a project on reducing energy consumption due to heating you are asked to estimate the following quantity: The number of days, in one year, that the temperature in Calcary is below 0° Celsius. If you had to make sure to underestimate this quantity, which numerical integration method would you use? Justify.
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