A clown is juggling at a circus. The path of the ball is given by the parametric equations x=2 cos t+2 and y=3 sin t+3. In what direction is the ball moving?
A. up and to the right
B. counterclockwise
C. down and to the right
D. clockwise

We need to find the direction the ball is moving, so wee have this parametric equation, namely:

[tex]\left \{ {{x=2cost+2} \atop {y=3sint+3}} \right.[/tex]

The graph of this equation is given in figure below. So, we well substitute some values of t in the equation:

If t = 0
x = 4 and y = 3
P0(4, 3)

if t = 1
x = 3.08 and y = 5.52
P1(3.08, 5.52)

if t = 2
x = 1.16 and y = 5.72
P2(1.16, 5.72)

So, as shown in the figure, the answer is B. counterclockwise

Answer Link

A clown is juggling at a circus. The path of the ball is given by the parametric equations x=2 cos t+2 and y=3 sin t+3. In what direction is the ball moving? A. up and to the right B. counterclockwise C. down and to the right D. clockwise

Respuesta :

Otras preguntas

A clown is juggling at a circus. The path of the ball is given by the parametric equations x=2 cos t+2 and y=3 sin t+3. In what direction is the ball moving?
A. up and to the right
B. counterclockwise
C. down and to the right
D. clockwise