Consider the net area A under the curve y = 4-² on the interval [-1,3]. -1 Y 3 2 1 1 -2 -3 -4 -5 -6+ 3 4 8 (a) Estimate A using R4, the right Riemann sum with 4 subintervals. Sketch the rectangles of the sum on the graph of the curve. (b) Estimate A using M₂, the midpoint Riemann sum with 2 subintervals. Sketch the rectangles of the sum on the graph of the curve.
Consider the net area A under the curve y = 4-² on the interval [-1,3]. -1 Y 3 2 1 1 -2 -3 -4 -5 -6+ 3 4 8 (a) Estimate A using R4, the right Riemann sum with 4 subintervals. Sketch the rectangles of the sum on the graph of the curve. (b) Estimate A using M₂, the midpoint Riemann sum with 2 subintervals. Sketch the rectangles of the sum on the graph of the curve.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. Consider the net area A under the curve y = 4-² on the interval [-1,3].
12
-1
-8
Y
3
2
1
-1
-2
-3
-4-
-5
-6
-6
2
2. Use the graph of f(x) below to compute
f(x)
-4
-2
4
Y
2
3
-2
+I
4
-4
2
(a) Estimate A using R4, the right Riemann
sum with 4 subintervals. Sketch the
rectangles of the sum on the graph of the
curve.
(b) Estimate A using M₂, the midpoint
Riemann sum with 2 subintervals. Sketch
the rectangles of the sum on the graph of
the curve.
f(x) dx.
4
6
8
N
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21542042-44df-491d-ab79-595b0cfabe71%2F2e8c8492-de07-495b-8c1f-a06751cba9ec%2Ffisl92kh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the net area A under the curve y = 4-² on the interval [-1,3].
12
-1
-8
Y
3
2
1
-1
-2
-3
-4-
-5
-6
-6
2
2. Use the graph of f(x) below to compute
f(x)
-4
-2
4
Y
2
3
-2
+I
4
-4
2
(a) Estimate A using R4, the right Riemann
sum with 4 subintervals. Sketch the
rectangles of the sum on the graph of the
curve.
(b) Estimate A using M₂, the midpoint
Riemann sum with 2 subintervals. Sketch
the rectangles of the sum on the graph of
the curve.
f(x) dx.
4
6
8
N
X
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