A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3- o'clock position [or from (6, 0)] to get to the point's current position? * radians Preview 0.2+pi b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for 8.) Preview c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(0) = 6sin(pi+theta) d. Sketch a graph of f. 8+ f(0) 6 4- 2- N 7/2 ग 3.x/2 LET --4- -6+ pi/2+theta -5/2 -8- Preview
A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3- o'clock position [or from (6, 0)] to get to the point's current position? * radians Preview 0.2+pi b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for 8.) Preview c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(0) = 6sin(pi+theta) d. Sketch a graph of f. 8+ f(0) 6 4- 2- N 7/2 ग 3.x/2 LET --4- -6+ pi/2+theta -5/2 -8- Preview
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 point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept
out since it started moving. Draw a diagram of this to make sure you understand the context!
a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3-
o'clock position [or from (6, 0)] to get to the point's current position?
* radians Preview
0.2+pi
b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the
point's current position. (Enter "theta" for 8.)
Preview
c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the
12-o'clock position, not the 3-o'clock position!)
f(0) = 6sin(pi+theta)
d. Sketch a graph of f.
8+ f(0)
6
4-
2-
N
7/2
ग
3.x/2
LET
--4-
-6+
pi/2+theta
-5/2
-8-
Preview](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbcde9fee-829a-403f-a1fa-44b86dc0b06a%2F06f776d0-a222-44fe-88ff-d741caa32296%2Fa60z2bm_processed.png&w=3840&q=75)
Transcribed Image Text:A point starts at the location (0, 6) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept
out since it started moving. Draw a diagram of this to make sure you understand the context!
a. Suppose the point has swept out 0.1 radians since it started moving (0 = 0.1). How many radians would need to be swept out from the 3-
o'clock position [or from (6, 0)] to get to the point's current position?
* radians Preview
0.2+pi
b. Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the
point's current position. (Enter "theta" for 8.)
Preview
c. Write a function f that determine's the point's x-coordinate in terms 8. (Recall that represents a number of radians swept out from the
12-o'clock position, not the 3-o'clock position!)
f(0) = 6sin(pi+theta)
d. Sketch a graph of f.
8+ f(0)
6
4-
2-
N
7/2
ग
3.x/2
LET
--4-
-6+
pi/2+theta
-5/2
-8-
Preview
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