Use rectangles to estimate the area under the graph of ƒ(x) = 4 − x², above the x-axis and from x = 0 to x = 2 by dividing the interval [0, 2] into four subintervals. Compute the left sum L4: use the function values at the left-end point of the each subinterval for the height of the rectangle. Shade the rectangles. Is L4 an underestimate or overestimate of the true area? 3 2 Y 0 1/2 1 3/2 x Compute the right sum R₁: use the function values at the right-end point of the each subinterval for the height of the rectangle. Shade the rectangles. Is R4 an underestimate or overestimate of the true area?
Use rectangles to estimate the area under the graph of ƒ(x) = 4 − x², above the x-axis and from x = 0 to x = 2 by dividing the interval [0, 2] into four subintervals. Compute the left sum L4: use the function values at the left-end point of the each subinterval for the height of the rectangle. Shade the rectangles. Is L4 an underestimate or overestimate of the true area? 3 2 Y 0 1/2 1 3/2 x Compute the right sum R₁: use the function values at the right-end point of the each subinterval for the height of the rectangle. Shade the rectangles. Is R4 an underestimate or overestimate of the true area?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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![Use rectangles to estimate the area under the graph of f(x) = 4 - x², above
the x-axis and from x = = 0 to x = 2 by dividing the interval [0, 2] into four subintervals.
Compute the left sum L₁: use the function values at the left-end point
of the each subinterval for the height of the rectangle. Shade the rectangles. Is L4
an underestimate or overestimate of the true area?
32
2
1
Y
0
1/2
Compute the right sum R4: use the function values at the right-end point
of the each subinterval for the height of the rectangle. Shade the rectangles. Is R4
an underestimate or overestimate of the true area?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F538c9aca-1684-4f33-a1e9-d421f54786a7%2F9622ab00-dfd6-40f4-8621-8b93d3113457%2Fhy3p19_processed.png&w=3840&q=75)
Transcribed Image Text:Use rectangles to estimate the area under the graph of f(x) = 4 - x², above
the x-axis and from x = = 0 to x = 2 by dividing the interval [0, 2] into four subintervals.
Compute the left sum L₁: use the function values at the left-end point
of the each subinterval for the height of the rectangle. Shade the rectangles. Is L4
an underestimate or overestimate of the true area?
32
2
1
Y
0
1/2
Compute the right sum R4: use the function values at the right-end point
of the each subinterval for the height of the rectangle. Shade the rectangles. Is R4
an underestimate or overestimate of the true area?
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