o As 0 varies from 0 to , x varies from 2 to units. o As O varies from - to T, x varies from 2 to units. o As 0 varies from ī to x varies from 2 to units. o As 0 varies from 37 to 27, x varies from 2 to units.
o As 0 varies from 0 to , x varies from 2 to units. o As O varies from - to T, x varies from 2 to units. o As 0 varies from ī to x varies from 2 to units. o As 0 varies from 37 to 27, x varies from 2 to units.
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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Question
Transcribed Image Text:A point starts at the location (1.5, 0) and moves counter-clockwise along a circular path with a radius of 1.5 units that is centered at the origin of
an x-y plane. An angle with its vertex at the circle's center has a measure of 0 radians and subtends the path the point travels. Let x represent the
point's x-coordinate. (Draw a diagram of this to make sure you understand the context!)
a. Complete the following statements.
o As 0 varies from 0 to
x varies from
2'
to
units.
T
o As 0 varies from
to T, x varies from
2
to
units.
o As 0 varies from 7 to
x varies from
2
to
units.
o As 0 varies from
to 27, x varies from
2
to
units.
b. Based on your answers to part a, sketch a graph of the relationship between x and 0. (Represent 0 on the horizontal axis and x on the
vertical axis.)
3t/2
-2
Clear All| Draw: \ M
Submit
Expert Solution
Diagram of the given context
Answer to (a)
By looking at the above diagram, we can easily find that
| x | y | |
| 1.5 | 0 | |
| 0 | 1.5 | |
| -1.5 | 0 | |
| 0 | -1.5 | |
| 1.5 | 0 |
as varies from varies from 1.5 to 0 units
as varies from varies from 0 to -1.5 units
as varies from varies from -1.5 to 0 units
as varies from varies from 0 to 1.5 units
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