14. The parametric equations and parameter interval for the motion of a particle in the xy-plane are given below. Identify the p finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle an of motion. I x=2 sint and y=4 cos (21), - y= Find an equation that relates x and y directly. sts A. X Graph the Cartesian equation. Indicate the direction of motion as t increases. Choose the correct graph below. B. C. D.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.4: Parametric Equations And Further Graphing
Problem 61PS
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14. The parametric equations and parameter interval for the motion of a particle in the xy-plane are given below. Identify the particle's path by
finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction
of motion.
I
x=2 sint and y=4 cos (21), -
sts
Find an equation that relates x and y directly.
y=
Graph the Cartesian equation. Indicate the direction of motion as t increases. Choose the correct graph below.
A.
X
B.
C.
©
D.
Indicate the portion of the graph of the Cartesian equation traced by the particle. Choose the correct answer below.
A. The portion of the Cartesian equation graph to the right of the y-axis
B. The portion of the Cartesian equation graph to the left of the y-axis
C. The portion of the Cartesian equation graph where x is only on the interval [-4,4]
D. The portion of the Cartesian equation graph where x is on the interval [-2,2]
Transcribed Image Text:14. The parametric equations and parameter interval for the motion of a particle in the xy-plane are given below. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. I x=2 sint and y=4 cos (21), - sts Find an equation that relates x and y directly. y= Graph the Cartesian equation. Indicate the direction of motion as t increases. Choose the correct graph below. A. X B. C. © D. Indicate the portion of the graph of the Cartesian equation traced by the particle. Choose the correct answer below. A. The portion of the Cartesian equation graph to the right of the y-axis B. The portion of the Cartesian equation graph to the left of the y-axis C. The portion of the Cartesian equation graph where x is only on the interval [-4,4] D. The portion of the Cartesian equation graph where x is on the interval [-2,2]
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