**Problem : **
Is the following plane curve a function:
*y* = 3*t*
^{2}
,
*x* =
,
0≤*t*≤5
?

**Problem : **
The following plane curve is a circle:
*x* = 2 cos(*t*)
,
*y* = 2 sin(*t*)
,
0≤*t* < 2*Π*
. Is its orientation clockwise or couterclockwise? What happens
when you reverse the parametric equations, so that
*x* = 2 sin(*t*)
,
*y* = 2 cos(*t*)
?

**Problem : **
Convert the parametric equation
*x* = 2*t*
,
*y* =
,
*t* > 0
, to a
rectangular equation.

**Problem : **
Convert the parametric equation
*x* = 3*t* + 1
,
*y* =
,
*t*≠
, to a rectangular equation.

**Problem : **
How many times does the graph of
*x* = *t*
^{2} - *t* - 6
,
*y* = 2*t*
,
-5 < *t* < 5
cross
the
*y*
-axis?

**Problem : **
Jim and Bob are racing from the origin to the point
(5, 10)
. Let
*t*
be the
number of seconds after the start of the race. Jim's position at any time
*t*
is given by the parametric equations
*x* = *t*
,
*y* = 2*t*
. Bob's position at any
time
*t*
is given by the parametric equations
*x* = 5*t*
,
*y* = 10*t*
. Who will win
the race? How long does it take each competitor to finish the race?

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