**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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