The following function is positive and negative on the given interval f(x)=sin 2x a. Sketch the function on the given interval b. Approximate the net area bounded by the graph off and the x-axis on the interval using a left, right, and midpoint Riemann sum with 4 C. Use the sketch in part (a) to show which intervals of 7x make positive and negative contributions to the net area
The following function is positive and negative on the given interval f(x)=sin 2x a. Sketch the function on the given interval b. Approximate the net area bounded by the graph off and the x-axis on the interval using a left, right, and midpoint Riemann sum with 4 C. Use the sketch in part (a) to show which intervals of 7x make positive and negative contributions to the net area
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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![The following function is positive and negative on the given interval
f(x)=sin 2x
a. Sketch the function on the given interval
b. Approximate the net area bounded by the graph off and the x-axis on the interval using a left, right, and midpoint Riemann sum with 4
c. Use the sketch in part (a) to show which intervals of make positive and negative contributions to the net area
a. Choose the correct answer below.
OA.
241
1-
0-
HO
Aly
ER
Q
Q
C
7x
of [7]
OA. Positive on
c. Which intervals of x-
OB. Positive on
b. Use a calculator to approximate the area. The net area, approximated using the left Riemann sum with n=4 is
(Do not round until the final answer. Then round to three decimal places as needed)
OC. Positive on x,
Use a calculator to approximate the area. The net area, approximated using the right Riemann sum with n4.i
(Do not round until the final answer. Then round to three decimal places as needed)
[0,x); negative on [x.2x)
3x 7x
214
-
Use a calculator to approximate the area. The net area, approximated using the midpoint Riemann sum with n=4, is
(Do not round until the final answer. Then round to three decimal places as needed)
3x
OB.
H
D
3x
negative on x,-
3x 7
2
negative on
make positive and negative contributions to the net area?
F
3
a
D
OC
32
GAL
ta
ap
OD
H
O
4
Q
Q
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4254f617-434a-4f35-b468-b6531989d85b%2Fecfbf2ee-123e-4a51-a539-5d875df3353f%2Fn8uvr6n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following function is positive and negative on the given interval
f(x)=sin 2x
a. Sketch the function on the given interval
b. Approximate the net area bounded by the graph off and the x-axis on the interval using a left, right, and midpoint Riemann sum with 4
c. Use the sketch in part (a) to show which intervals of make positive and negative contributions to the net area
a. Choose the correct answer below.
OA.
241
1-
0-
HO
Aly
ER
Q
Q
C
7x
of [7]
OA. Positive on
c. Which intervals of x-
OB. Positive on
b. Use a calculator to approximate the area. The net area, approximated using the left Riemann sum with n=4 is
(Do not round until the final answer. Then round to three decimal places as needed)
OC. Positive on x,
Use a calculator to approximate the area. The net area, approximated using the right Riemann sum with n4.i
(Do not round until the final answer. Then round to three decimal places as needed)
[0,x); negative on [x.2x)
3x 7x
214
-
Use a calculator to approximate the area. The net area, approximated using the midpoint Riemann sum with n=4, is
(Do not round until the final answer. Then round to three decimal places as needed)
3x
OB.
H
D
3x
negative on x,-
3x 7
2
negative on
make positive and negative contributions to the net area?
F
3
a
D
OC
32
GAL
ta
ap
OD
H
O
4
Q
Q
C
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