A point starts at the location (3, 0) and moves counterclockwise along a circular path with a radius 3 units long centered at the origin of an xy-plane. An angle with its vertex at the circle's center measures radians and subtends the path the point travels. Let a represent the point's a-coordinate. (Draw a diagram of this to make sure you understand the context!) a. Complete the following statements. → As varies from 0 to varies from units. As 8 varies from to π, x varies from As varies from π to varies from 3x 2 1 units. As varies from varies from -1 -2 -3 π/2 units. π ·· 3π 2 units. π , I 3π 2 to b. Based on your answers to part a, sketch a graph of the relationship between x and 8. (Represent on the horizontal axis and on the vertical axis.) Clear All Draw: M to to to 2π, z to 3π/2
A point starts at the location (3, 0) and moves counterclockwise along a circular path with a radius 3 units long centered at the origin of an xy-plane. An angle with its vertex at the circle's center measures radians and subtends the path the point travels. Let a represent the point's a-coordinate. (Draw a diagram of this to make sure you understand the context!) a. Complete the following statements. → As varies from 0 to varies from units. As 8 varies from to π, x varies from As varies from π to varies from 3x 2 1 units. As varies from varies from -1 -2 -3 π/2 units. π ·· 3π 2 units. π , I 3π 2 to b. Based on your answers to part a, sketch a graph of the relationship between x and 8. (Represent on the horizontal axis and on the vertical axis.) Clear All Draw: M to to to 2π, z to 3π/2
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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Transcribed Image Text:A point starts at the location (3, 0) and
moves counterclockwise along a circular
path with a radius 3 units long centered
at the origin of an xy-plane. An angle
with its vertex at the circle's center
measures radians and subtends the
path the point travels. Let a represent
the point's a-coordinate. (Draw a
diagram of this to make sure you
understand the context!)
a. Complete the following statements.
π
As varies from 0 to I
2
varies from
As varies from
varies from
units.
3 x
2
1
As varies from π to
varies from
As 8 varies from
varies from
-1
-2
3
π
2
units.
π/2
units.
3T
2
units.
to π, Xx
π
3π
2
to
to
b. Based on your answers to part a,
sketch a graph of the relationship
between and 0. (Represent on
the horizontal axis and r on the
vertical axis.)
Clear All Draw: M
. I
to
to 2π, x
to
3π/2
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