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Question No. 3: In a chemical plant the temperature of a certain chemical is increasing at a rate of r(t) = 30e-0.3 degrees Celsius per minute (where t is the time in minutes). In order to find the amount by which the temperature increased during certain time, following integration will be performed 30e-0.31 dt Approximate the amount of temperature increased between t=0 and t=3 minutes, using; i. Trapezoidal Rule ii. 3/8 Simpson's Rule Also calculate the respective Absolute Relative Error

Question No. 3: In a chemical plant the temperature of a certain chemical is increasing at a rate of r(t) = 30e-0.3 degrees Celsius per minute (where t is the time in minutes). In order to find the amount by which the temperature increased during certain time, following integration will be performed 30e-0.31 dt Approximate the amount of temperature increased between t=0 and t=3 minutes, using; i. Trapezoidal Rule ii. 3/8 Simpson's Rule Also calculate the respective Absolute Relative Error

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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Question No. 3: In a chemical plant the temperature of a certain chemical is increasing at a rate of r(t) = 30e-0.3t degrees Celsius per minute (where t is the time in minutes). In order to find the amount by which the temperature increased during certain time, following integration will be performed. tn 30e-0.3t dt Approximate the amount of temperature increased between t=0 and t=3 minutes, using; i. Trapezoidal Rule 3/8 Simpson's Rule ii. Also calculate the respective Absolute Relative Error
Transcribed Image Text:Question No. 3: In a chemical plant the temperature of a certain chemical is increasing at a rate of r(t) = 30e-0.3t degrees Celsius per minute (where t is the time in minutes). In order to find the amount by which the temperature increased during certain time, following integration will be performed. tn 30e-0.3t dt Approximate the amount of temperature increased between t=0 and t=3 minutes, using; i. Trapezoidal Rule 3/8 Simpson's Rule ii. Also calculate the respective Absolute Relative Error
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