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
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,