00:02
So in this problem were given a set of parametric equations.
00:08
X equals to c.
00:12
T -4 t.
00:15
Cubed.
00:17
And why equals minus c.
00:22
T squared plus three t.
00:26
To the fourth for this volatile catastrophic curves.
00:31
Whereas to graph several of these curves and determine.
00:36
So we want to graph these and determine ah what features have in common.
00:52
And how do they change when see increases so when see increases how change.
01:04
All right.
01:04
So first of all let's write these equations for several values of c.
01:13
So i come back at table here when c.
01:14
Is one 234 and five.
01:22
The equation for x.
01:23
And my equation for why? okay.
01:26
So i see is one.
01:28
What do i have to t -4 t cubed when it's too and i have 14 -4 t cubed and then 60 -4 t cubed.
01:44
When c.
01:45
Is four that gives me eight t -4 t.
01:51
Cubed.
01:52
And when c.
01:53
Is five i have 10 t -40 cubes.
01:59
Can the why what do i have here? well let's see one in there for c.
02:02
That's minus t squared plus three t.
02:07
The fourth two in there for c.
02:10
That's -2 t squared plus three...