Approximate the area under the curve y = 3 ln(x² + 20) from x = - 9 to z = - 1 with 4 sub- intervals using left endpoints L4, midpoints M4, and right endpoints R4. (a) L4 = (b) M4 : %3D (c) R4 %3D

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Approximate the area under the curve y = 3 ln(x² + 20) from æ
intervals using left endpoints L4, midpoints M4, and right endpoints R4.
= - 9 to z =
1 with 4 sub-
(a) L4 =
(b) M4
(c) R4
(d) Which answer best describes the approximate area under the curve of y = 3 ln(x? + 20) from
x = - 9 to a = - 1 as computed above?
O The midpoint rule should always be used to approximate area under the curve.
O Since the function y = 3 ln(x? + 20) from æ = - 9 to a = - 1 is increasing the left endpoint
rule will underestimate the area whereas the right endpoint rule will overestimate the area.
O Since the function y = 3 ln(x? + 20) from æ = - 9 to x = - 1 is decreasing the left endpoint
rule will overestimate the area whereas the right endpoint rule will underestimate the area.
O Since the function y = 3 ln(x? + 20) from æ = - 9 to a = - 1 is increasing the left endpoint
rule will overestimate the area whereas the right endpoint rule will underestimate the area.
O The function is neither increasing or decreasing so in general we can't make a conclusion regarding
an overestimate or underestimate.
Since the function y = 3 ln(a² + 20) from a = - 9 to a = - 1 is decreasing the left endpoint
rule will underestimate the area whereas the right endpoint rule will overestimate the area.
Transcribed Image Text:Approximate the area under the curve y = 3 ln(x² + 20) from æ intervals using left endpoints L4, midpoints M4, and right endpoints R4. = - 9 to z = 1 with 4 sub- (a) L4 = (b) M4 (c) R4 (d) Which answer best describes the approximate area under the curve of y = 3 ln(x? + 20) from x = - 9 to a = - 1 as computed above? O The midpoint rule should always be used to approximate area under the curve. O Since the function y = 3 ln(x? + 20) from æ = - 9 to a = - 1 is increasing the left endpoint rule will underestimate the area whereas the right endpoint rule will overestimate the area. O Since the function y = 3 ln(x? + 20) from æ = - 9 to x = - 1 is decreasing the left endpoint rule will overestimate the area whereas the right endpoint rule will underestimate the area. O Since the function y = 3 ln(x? + 20) from æ = - 9 to a = - 1 is increasing the left endpoint rule will overestimate the area whereas the right endpoint rule will underestimate the area. O The function is neither increasing or decreasing so in general we can't make a conclusion regarding an overestimate or underestimate. Since the function y = 3 ln(a² + 20) from a = - 9 to a = - 1 is decreasing the left endpoint rule will underestimate the area whereas the right endpoint rule will overestimate the area.
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