y (t) = 2t - +2 a. Differentiate the function. (4 marks) b. Apply the Newton-Raphson method to y(t) to find the point between t = - 1 and t = 0 where y(t) is zero to an accuracy better than 0.001. Give your answer to three decimal places. (Hint: Try a starting value of 0) (14 marks) C. Another way to find t when y = 0 is to write 0 = 21 -+2 and from this we can write 2t = 12 Plot y = 2" and y = t' on the same graph paper between ( = -1 and t = 5 , (or use a spreadsheet plotting software) and estimate t from where the two lines cross. You are required to find three solutions over this interval