Approximate the area under the curve y = 4 ln(x² + 11) from æ = – 15 to a = - 7 with 4 sub- intervals using left endpoints L4, midpoints M4, and right endpoints R4. (a) L4 = (b) M4 (c) R4
Approximate the area under the curve y = 4 ln(x² + 11) from æ = – 15 to a = - 7 with 4 sub- intervals using left endpoints L4, midpoints M4, and right endpoints R4. (a) L4 = (b) M4 (c) R4
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Question
![4 In (x? + 11) from x =
intervals using left endpoints L4, midpoints M4, and right endpoints R4.
Approximate the area under the curve y
- 15 to x = – 7 with 4 sub-
(a) L4
(Б) М4
(c) R4
(d) Which answer best describes the approximate area under the curve of y = 4 1n(x + 11) from
- 15 to x
7 as computed above?
x =
Since the function y = 4 In (x + 11) from x =
- 15 to x =
- 7 is decreasing the left endpoint
rule will underestimate the area whereas the right endpoint rule will overestimate the area.
Since the function y = 4 ln(x + 11) from x =
- 15 to x =
· 7 is decreasing the left endpoint
-
rule will overestimate the area whereas the right endpoint rule will underestimate the area.
Since the function y = 4 ln(x + 11) from x =
15 to x =
- 7 is increasing the left endpoint
-
rule will underestimate the area whereas the right endpoint rule will overestimate the area.
O The midpoint rule should always be used to approximate area under the curve.
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 = 4 In (x + 11) from x =
- 15 to x =
7 is increasing the left endpoint
rule will overestimate the area whereas the right endpoint rule will underestimate the area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec70a3af-7012-41b5-84d0-077491201fef%2F65ba1c5b-caeb-4f8e-90b1-34ba726100ec%2Fz5gxfr_processed.png&w=3840&q=75)
Transcribed Image Text:4 In (x? + 11) from x =
intervals using left endpoints L4, midpoints M4, and right endpoints R4.
Approximate the area under the curve y
- 15 to x = – 7 with 4 sub-
(a) L4
(Б) М4
(c) R4
(d) Which answer best describes the approximate area under the curve of y = 4 1n(x + 11) from
- 15 to x
7 as computed above?
x =
Since the function y = 4 In (x + 11) from x =
- 15 to x =
- 7 is decreasing the left endpoint
rule will underestimate the area whereas the right endpoint rule will overestimate the area.
Since the function y = 4 ln(x + 11) from x =
- 15 to x =
· 7 is decreasing the left endpoint
-
rule will overestimate the area whereas the right endpoint rule will underestimate the area.
Since the function y = 4 ln(x + 11) from x =
15 to x =
- 7 is increasing the left endpoint
-
rule will underestimate the area whereas the right endpoint rule will overestimate the area.
O The midpoint rule should always be used to approximate area under the curve.
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 = 4 In (x + 11) from x =
- 15 to x =
7 is increasing the left endpoint
rule will overestimate the area whereas the right endpoint rule will underestimate the area.
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