NUMERICAL METHOD PLEASE FOLLOW THE INSTRUCTION Q1 (a)To identify how much heat is required to bring a kettle of water to its boiling point,you are required to calculate the specific heat of water at 61°C. The specific heat ofwater is given as a function of time in Table Q1(a).Table Q1(a): Specific heat of water as a function of temperatureTemperature, T Specific heat, CpC)Jkg-°C42417952418682419910042171104300(i)Determine the value of the specific heat at T = 61°C using a second orderLagrange polynomial.(ii)Determine the value of the specific heat at T = 61°C using a third orderLagrange polynomial.(ii)Find the absolute relative approximate error E obtained between the resultsfrom the second with third order polynomial. (b)A military radar identified an unknown object flying above Andaman Sea. The RadarIntercept Officer (RIO) justified that this unknown flying object follows a motionequation, s(t) = sin t + 6t? where s in meter and t in second. Justify whether 3-pointcentral difference has higher accuracy in approximating the velocity of the unknownflying object at 15+4 second, comparing to 2-point forward difference and 2-pointbackward difference. Use small increment, h =10-3.

Q1 (e) To identify how much heat is required to bring a kettle of water to its boiling point, you are required to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table Q1(a). Table Q1(a): Specific heat of water as a function of temperature Temperature, T Specific heat, C, C) J kg-"C 42 4179 52 4186 82 4199 100 4217 110 4300 (1) Determine the value of the specific heat at I = 61°C using a second order Lagrange polynomial. (ii) Determine the value of the specific heat at I = 61°C using a third order Lagrange polynomial. (iii) Find the absolute relative approximate error E obtained between the results from the second with third order polynomial.

Q1 (e) To identify how much heat is required to bring a kettle of water to its boiling point, you are required to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table Q1(a). Table Q1(a): Specific heat of water as a function of temperature Temperature, T Specific heat, C, C) J kg-"C 42 4179 52 4186 82 4199 100 4217 110 4300 (1) Determine the value of the specific heat at I = 61°C using a second order Lagrange polynomial. (ii) Determine the value of the specific heat at I = 61°C using a third order Lagrange polynomial. (iii) Find the absolute relative approximate error E obtained between the results from the second with third order polynomial.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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