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 of water is given as a...

Extracted text: 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 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 (°C) J Specific heat, C, kg-°C 42 A + 4179 52 A +4186 82 A +4199 100 A + 4217 110 A + 4300 Note that: A - Last digit of your matrix number (i) Determine the value of the specific heat at T = 61°C using a second order Lagrange polynomial. (ii) Determine the value of the specific heat at T = 61°C using a third order Lagrange polynomial. (iii) Find the absolute relative approximate error le, obtained between the results from the second with third order polynomial.