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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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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