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: 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). Q1 (a) Table Q1(a): Specific heat of water as a function of temperature Temperature, T (°C) J Specific heat, C, kg-°C 42 4179 52 4186 82 4199 100 4217 110 4300 (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 e obtained between the results from the second with third order polynomial.