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4. [8 marks] Suppose that f (:1?) = 9:3 + 5. (a) Suppose you want to estimate the area under the graph of f(:1:) from :1? = [l to :1? = 12 using 4 approximating rectangles and right endpoints. i. Dene the function in Maple. On the provided template. write down the x and yvalucs representing f evaluated at the 4 right endpoints on the desired interval. I.e. (1:1,f(:171)), (1132, f(:1?2))_. etc. ii. Using your answer from part (i) estimate the area under the graph of f(:1:) on the desired interval. You may use Maple. but write down all steps in your calculations. (b) In Maple. use the Approximatelnto function to calculate the approximate net area between x) and the ataxis between :1: = [l and :1: = 12. Record the result in the appropriate cell of the table provided on your answer sheet. Complete the table for the varying values of 11 using the i) right endpoint, ii) left endpoint, and iii) midpoint of each subinterval. Where necessary, round results to 3 decimal places. [Note: Try using the outputzplot option in the Approximatelnto function to obtain a picture of the approximating rectangles] T1. 4 64 \"124 i) Area using Right Endpoints ii] Area using Left Endpoints l iii) Area using Midpoints I (c) Ask your IA to initial that you completed the Maple for this