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Approximate the area under the curve 1; = 9::2 from E = 3 to z = 6 with 6 sub-intervals using left endpoints L5, midpoinls
Approximate the area under the curve 1; = 9::2 from E = 3 to z = 6 with 6 sub-intervals using left endpoints L5, midpoinls M5, and right endpoints R5. we |:] Me: [Me :1 {d} Which answer best describes the approximate area under the cave of y = 922 from m = 3 to z = 6 as computed above? 0 Since the function y = 92:2 from 2 = 3 to a: = 5 is increasing the left endpoint mle will underestimate the area whereas the right endpoint rule will overestimate the area. D The fu1ction is neither increasing or decreasing so in general we can't make a conclusion regarding an overestimate or underestimate. 0 Since the function y = 92:2 from 2 = 3 to a: = 5 is decreasing the left endpoint rule will overestimate the area whereas the right endpoint rue will underestimate the area. 0 Since the function y = 99:2 from 2 = 3 to z = 5 is decreasing the left endpoint rule will underestimate the area whereas the right endpoint rule will overestimate the area. 0 Since the function y = 99:2 from 2 = 3 to z = 5 is increasing the left endpoint rule will overestimate the area whereas the right endpoint le will underestimate the area. 0 The midpoint mle should always be used to approximate area under the curve
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