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-0.3t dt Approximate the amount of temperature increased between t-2 and t-8 minutes, using Newton- Cotes quadrature rules as follows; i. 3 Point Simpson's Rule 3/8 Simpson's Rule i. ii. Boole's Rule iv. Composite Trapezoidal Rule (for 6 points)
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-0.3t dt Approximate the amount of temperature increased between t-2 and t-8 minutes, using Newton- Cotes quadrature rules as follows; i. 3 Point Simpson's Rule 3/8 Simpson's Rule i. ii. Boole's Rule iv. Composite Trapezoidal Rule (for 6 points)
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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Transcribed Image Text:In a chemical plant the temperature of a certain chemical is increasing at a rate of r (t) = 30e-03t
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-0.3t dt
to
Approximate the amount of temperature increased between t-2 and t-8 minutes, using Newton-
Cotes quadrature rules as follows;
3 Point Simpson's Rule
3/8 Simpson's Rule
Boole's Rule
i.
ii.
111.
iv. Composite Trapezoidal Rule (for 6 points)
Also calculate respective Absolute Relative Errors
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