ect the graph that matches your sketch below: 2 1 2.5 + 9.5 -1 -2 -3 -4+ 4 3 2 1- -1 -2+ 0.5 1 1.5 0.5 1 1.5 9.5 + 9.5 4 3 2 1 -1 -2 + 2+ 1 -1 -2 -3 -4 0.5 1 find the exact area enclosed by the curves over the interval [0,1]. 1.3
ect the graph that matches your sketch below: 2 1 2.5 + 9.5 -1 -2 -3 -4+ 4 3 2 1- -1 -2+ 0.5 1 1.5 0.5 1 1.5 9.5 + 9.5 4 3 2 1 -1 -2 + 2+ 1 -1 -2 -3 -4 0.5 1 find the exact area enclosed by the curves over the interval [0,1]. 1.3
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
![a) Sketch the region enclosed by y
=
2 cos(2x) and y
select the graph that matches your sketch below:
2+
1
O
2.5
+
9.5
-1
-2
-3
-4
4
3-
2
-1
-2 +
0.5
1 1.
0.5 1 1.5
2.5
+
2.5
3
2
1
-1
NŃ
-2 +
2
1
-1
-2
-3
+
2 - 2 cos(2x), over the interval
0.5
b) Find the exact area enclosed by the curves over the interval [0,
[0, 7/7].
1.
Q
[0,1].
Then](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcd72f34-3ec5-4815-9094-73aadfcc33e2%2F332cee07-89e8-45c9-a9ed-0037793be875%2Fzfdcgsl_processed.png&w=3840&q=75)
Transcribed Image Text:a) Sketch the region enclosed by y
=
2 cos(2x) and y
select the graph that matches your sketch below:
2+
1
O
2.5
+
9.5
-1
-2
-3
-4
4
3-
2
-1
-2 +
0.5
1 1.
0.5 1 1.5
2.5
+
2.5
3
2
1
-1
NŃ
-2 +
2
1
-1
-2
-3
+
2 - 2 cos(2x), over the interval
0.5
b) Find the exact area enclosed by the curves over the interval [0,
[0, 7/7].
1.
Q
[0,1].
Then
Expert Solution
Step 1: Discription for the step 1
First, find the points of intersection of the two curves:
Set y = 2 cos(2x) equal to y = 2 - 2cos(2x): 2 cos(2x) = 2 - 2cos(2x)
Add 2cos(2x) to both sides: 4 cos(2x) = 2
Divide by 4: cos(2x) = 1/2
Take the inverse cosine: 2x = π/3
Solve for x: x = π/6
Step by step
Solved in 3 steps with 2 images
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