2. To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 62°C. The specific heat of water is given as a function of time in the table shown below. N 1 2 3 4 x (T°C) y (sp.ht. in J/(kg- C) 22 42 52 82 100 4182 4180 4186 4200 4217 Determine the value of the specific heat at T = 62°C using the indicated degree of the polynomial: (a) linear (b) quadratic (c) cubic (d) quadric

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