A point starts at the location (1.5, 0) and moves counterclockwise along a circular path with a radius 1.5 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 x- coordinate. (Draw a diagram of this to make sure you understand the context!) a. Complete the following statements. π o As varies from 0 to x varies from 2 o As varies from o As varies from 7 to 2 1 π 2 o As varies from to 27, x varies from 3π 2 -1 to π, a varies from X J2 3π 2 -, a varies from П -2+ Clear All Draw: M b. Based on your answers to part a, sketch a graph of the relationship between x and 0. (Represent on the horizontal axis and x on the vertical axis.) 3П/2 2π to 0 to to to units. units. units. units.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A point starts at the location (1.5, 0) and moves counterclockwise along a circular path with a radius 1.5 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 à represent the point's x-
coordinate. (Draw a diagram of this to make sure you understand the context!)
a. Complete the following statements.
π
o As varies from 0 to x varies from
"
2
o As varies from
o As varies from
o As varies from 7 to
1
-1
X
ㅠ
2
π|2
to π, x varies from
-2+
Clear All Draw:
3π
2
3π
2
9
to 2π, x varies from
π
x varies from
ww
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.)
3π/2
2π
to
Ө
to
to
to
units.
units.
units.
units.
Transcribed Image Text:A point starts at the location (1.5, 0) and moves counterclockwise along a circular path with a radius 1.5 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 à represent the point's x- coordinate. (Draw a diagram of this to make sure you understand the context!) a. Complete the following statements. π o As varies from 0 to x varies from " 2 o As varies from o As varies from o As varies from 7 to 1 -1 X ㅠ 2 π|2 to π, x varies from -2+ Clear All Draw: 3π 2 3π 2 9 to 2π, x varies from π x varies from ww 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.) 3π/2 2π to Ө to to to units. units. units. units.
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