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Parametric Equations and And a Parameter Interval for the Motion $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$

Question 356

Multiple Choice

Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. 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.
- $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$
$Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. - x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi A) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 2,0 ) to ( 2,0 ) one rotation B) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from , ( 5,0 ) to ( 5,0 ) , one rotation C) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from ( 0,2 ) to ( 0,2 ) , one rotation D) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 0,5 ) to ( 0,5 ) , one rotation$

A) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ ; Counterclockwise from $( 2,0 )$ to $( 2,0 )$ one rotation
$Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. - x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi A) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 2,0 ) to ( 2,0 ) one rotation B) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from , ( 5,0 ) to ( 5,0 ) , one rotation C) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from ( 0,2 ) to ( 0,2 ) , one rotation D) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 0,5 ) to ( 0,5 ) , one rotation$

B) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1$ ; Counterclockwise from , $( 5,0 )$ to $( 5,0 )$ , one rotation
$Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. - x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi A) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 2,0 ) to ( 2,0 ) one rotation B) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from , ( 5,0 ) to ( 5,0 ) , one rotation C) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from ( 0,2 ) to ( 0,2 ) , one rotation D) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 0,5 ) to ( 0,5 ) , one rotation$
C) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1$ ; Counterclockwise from $( 0,2 )$ to $( 0,2 )$ , one rotation
$Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. - x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi A) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 2,0 ) to ( 2,0 ) one rotation B) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from , ( 5,0 ) to ( 5,0 ) , one rotation C) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from ( 0,2 ) to ( 0,2 ) , one rotation D) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 0,5 ) to ( 0,5 ) , one rotation$

D) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ ; Counterclockwise from $( 0,5 )$ to $( 0,5 )$ , one rotation
$Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. - x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi A) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 2,0 ) to ( 2,0 ) one rotation B) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from , ( 5,0 ) to ( 5,0 ) , one rotation C) \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1 ; Counterclockwise from ( 0,2 ) to ( 0,2 ) , one rotation D) \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 ; Counterclockwise from ( 0,5 ) to ( 0,5 ) , one rotation$

Parametric Equations and And a Parameter Interval for the Motion x=2sin⁡t,y=5cos⁡t,0≤t≤2πx=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pix=2sint,y=5cost,0≤t≤2π

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Parametric Equations and And a Parameter Interval for the Motion $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$

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