Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals using left endpoints L4, midpoints Ma, and right endpoints R4. Round your answers to one decimal. (a) L4 %3D (b) M4 (c) R4
Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals using left endpoints L4, midpoints Ma, and right endpoints R4. Round your answers to one decimal. (a) L4 %3D (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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![Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals
using left endpoints L4, midpoints Ma, and right endpoints R4.
8-
4
4
Round your answers to one decimal.
(a) L4 =
(b) M4
(c) R4 =
(d) which answer best describes the approximate area under the curve of y = f(1) from I = 0 to z = 6
as computed above?
O since the function y = f(z) from z = 0 to z = 4 is decreasing the left endpoint rule will
overestimate the area whereas the right endpoint rule will underestimate the area.
O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will
overestimate the area whereas the right endpoint rule will underestimate the area.
O since the function y = f(z) from I = 0 to z = 4 is decreasing the left endpoint rule will
underestimate the area whereas the right endpoint rule will overestimate the area.
O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will
underestimate the area whereas the right endpoint rule will overestimate the area.
O The function is neither increasing or decreasing so in general we can't make a conclusion regarding
an overestimate or underestimate.
O The midooint rule should always be used to approximate area under the curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec70a3af-7012-41b5-84d0-077491201fef%2F86e3cbd2-05cf-4be7-bcaa-dd70b6bc138a%2Fyf30vd_processed.png&w=3840&q=75)
Transcribed Image Text:Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals
using left endpoints L4, midpoints Ma, and right endpoints R4.
8-
4
4
Round your answers to one decimal.
(a) L4 =
(b) M4
(c) R4 =
(d) which answer best describes the approximate area under the curve of y = f(1) from I = 0 to z = 6
as computed above?
O since the function y = f(z) from z = 0 to z = 4 is decreasing the left endpoint rule will
overestimate the area whereas the right endpoint rule will underestimate the area.
O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will
overestimate the area whereas the right endpoint rule will underestimate the area.
O since the function y = f(z) from I = 0 to z = 4 is decreasing the left endpoint rule will
underestimate the area whereas the right endpoint rule will overestimate the area.
O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will
underestimate the area whereas the right endpoint rule will overestimate the area.
O The function is neither increasing or decreasing so in general we can't make a conclusion regarding
an overestimate or underestimate.
O The midooint rule should always be used to approximate area under the curve.
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