A. Use the indicated number of rectangles to find the Riemann sums (left-and right-endpoints) that approximate the area of the region bounded by the given curve over the given interval. (Note: Sketch the corresponding area under a curve. You may use Desmos app, make sure the curve is labeled properly and shaded the region being described.). 1. f(x)=x-4(5,15];n=6
A. Use the indicated number of rectangles to find the Riemann sums (left-and right-endpoints) that approximate the area of the region bounded by the given curve over the given interval. (Note: Sketch the corresponding area under a curve. You may use Desmos app, make sure the curve is labeled properly and shaded the region being described.). 1. f(x)=x-4(5,15];n=6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A. Use the indicated number of rectangles to find the Riemann sums (left-and right-endpoints) that
approximate the area of the region bounded by the given curve over the given interval. (Note: Sketch the
corresponding area under a curve. You may use Desmos app, make sure the curve is labeled properly
and shaded the region being described.).
1. S(x) = x – 4; (5,15];n = 6
2. f(x) = 4 – 3x; [-8, 0]; n = 8
3. f(x) = 4 – x²; (-2,2); n = 8
2010
B. Use the midpoint technique to approximate the area bounded by the given curves using 10 rectangles.
(Note: Sketch the corresponding area under a curve. You may use Desmos app, make sure the curve is
labeled properly and shaded the region being described).
4. f(x) = *,x- axis,x = 5,x = 10
5. f(x) = -x² + 4x + 2,x– axis,x = 0,x = 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70c838b3-d08a-42d1-adcc-9b82ff9a0c74%2F9b1a005b-78e1-493f-9ca5-2a285fc0dc89%2Fmn35uyc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A. Use the indicated number of rectangles to find the Riemann sums (left-and right-endpoints) that
approximate the area of the region bounded by the given curve over the given interval. (Note: Sketch the
corresponding area under a curve. You may use Desmos app, make sure the curve is labeled properly
and shaded the region being described.).
1. S(x) = x – 4; (5,15];n = 6
2. f(x) = 4 – 3x; [-8, 0]; n = 8
3. f(x) = 4 – x²; (-2,2); n = 8
2010
B. Use the midpoint technique to approximate the area bounded by the given curves using 10 rectangles.
(Note: Sketch the corresponding area under a curve. You may use Desmos app, make sure the curve is
labeled properly and shaded the region being described).
4. f(x) = *,x- axis,x = 5,x = 10
5. f(x) = -x² + 4x + 2,x– axis,x = 0,x = 4
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