Question: Problem 3.(a) Approximate the area under the curve y=16-x22 over interval 0,4 using left endpoint rule with 8 sub intervals of length 12.(You want to

Problem 3.(a) Approximate the area under the curve y=16-x22 over interval 0,4 using left endpoint rule with 8 sub intervals of length 12.(You want to sketch the graph)(b) Approximate the area under the curve y=16-x22 over interval 0,4 using right end-point rule with 8 sub intervals of length 12(c) Approximate the area under the curve y=16-x22 over interval 0,4 using midpoint rule with 4 sub intervals of length 1.(d) Can you predict which of the obtained values would be an underestimate and which one an overestimate of the actual area?(e) Use geometry to evaluate the area. Which of the three rules is more accurate?

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