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.
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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 )

( 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 )

( 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 )

( 0,2 )

\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1

; Counterclockwise from

( 0,5 )

( 0,5 )

Find the value of d2y/dx2 at the point defined by the given value of t. \text { Find the value of } d ^ { 2 } y / d x ^ { 2 } \text { at the point defined by the given value of } t \text {. } Find the value of d2y/dx2 at the point defined by the given value of t.

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$\text { Find the value of } d ^ { 2 } y / d x ^ { 2 } \text { at the point defined by the given value of } t \text {. }$

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