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Parametric Equations and And a Parameter Interval for the Motion x=4t2,y=2t,xtx=4 t^{2}, y=2 t, x \leq t \leq \infty

Question 191

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=4t2,y=2t,xtx=4 t^{2}, y=2 t, x \leq t \leq \infty
 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=4 t^{2}, y=2 t, x \leq t \leq \infty     A)   x = y ^ { 2 } ; Entire parabola, top to bottom (from1st quadrant to origin to 2nd quadrant)     B)   y = x ^ { 2 } ; Entire parabola, right to left (from 1st quadrant to origin to 4 th quadrant)     C)   x = y ^ { 2 } ; Entire parabola, bottom to top (from 2nd quadrant to origin to 1st quadrant)      D)   y = x ^ { 2 } ; Entire parabola, left to right (from 4th quadrant to origin to 1st quadrant)


A) x=y2x = y ^ { 2 } ; Entire parabola, top to bottom (from1st quadrant to origin to 2nd quadrant)
 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=4 t^{2}, y=2 t, x \leq t \leq \infty     A)   x = y ^ { 2 } ; Entire parabola, top to bottom (from1st quadrant to origin to 2nd quadrant)     B)   y = x ^ { 2 } ; Entire parabola, right to left (from 1st quadrant to origin to 4 th quadrant)     C)   x = y ^ { 2 } ; Entire parabola, bottom to top (from 2nd quadrant to origin to 1st quadrant)      D)   y = x ^ { 2 } ; Entire parabola, left to right (from 4th quadrant to origin to 1st quadrant)

B) y=x2y = x ^ { 2 } ; Entire parabola, right to left (from 1st quadrant to origin to 4 th quadrant)
 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=4 t^{2}, y=2 t, x \leq t \leq \infty     A)   x = y ^ { 2 } ; Entire parabola, top to bottom (from1st quadrant to origin to 2nd quadrant)     B)   y = x ^ { 2 } ; Entire parabola, right to left (from 1st quadrant to origin to 4 th quadrant)     C)   x = y ^ { 2 } ; Entire parabola, bottom to top (from 2nd quadrant to origin to 1st quadrant)      D)   y = x ^ { 2 } ; Entire parabola, left to right (from 4th quadrant to origin to 1st quadrant)
C) x=y2x = y ^ { 2 } ; Entire parabola, bottom to top (from 2nd quadrant to origin to 1st quadrant)
 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=4 t^{2}, y=2 t, x \leq t \leq \infty     A)   x = y ^ { 2 } ; Entire parabola, top to bottom (from1st quadrant to origin to 2nd quadrant)     B)   y = x ^ { 2 } ; Entire parabola, right to left (from 1st quadrant to origin to 4 th quadrant)     C)   x = y ^ { 2 } ; Entire parabola, bottom to top (from 2nd quadrant to origin to 1st quadrant)      D)   y = x ^ { 2 } ; Entire parabola, left to right (from 4th quadrant to origin to 1st quadrant)

D) y=x2y = x ^ { 2 } ; Entire parabola, left to right (from 4th quadrant to origin to 1st quadrant)
 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=4 t^{2}, y=2 t, x \leq t \leq \infty     A)   x = y ^ { 2 } ; Entire parabola, top to bottom (from1st quadrant to origin to 2nd quadrant)     B)   y = x ^ { 2 } ; Entire parabola, right to left (from 1st quadrant to origin to 4 th quadrant)     C)   x = y ^ { 2 } ; Entire parabola, bottom to top (from 2nd quadrant to origin to 1st quadrant)      D)   y = x ^ { 2 } ; Entire parabola, left to right (from 4th quadrant to origin to 1st quadrant)

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