In a chemical plant the temperature of a certain chemical is increasing at a rate of r (t) = 30e-03tdegrees Celsius per minute (where t is the time in minutes). In order to find the amount by whichthe temperature increased during certain time, following integration will be performed.30e-0.3t dttoApproximate the amount of temperature increased between t-2 and t-8 minutes, using Newton-Cotes quadrature rules as follows;3 Point Simpson's Rule3/8 Simpson's RuleBoole's Rulei.ii.111.iv. Composite Trapezoidal Rule (for 6 points)Also calculate respective Absolute Relative Errors

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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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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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