00:01
Okay, we're going to sketch the curve represented by the vector value function.
00:05
So we're going to be putting in some values, and we're going to be putting in angles.
00:10
Now, remember when it says cosine to the third t, they're really saying, do the cosine of the angle, and then take the whole thing to the third power.
00:18
So some of these are going to be easy to do because cosine is often zero or one.
00:25
So we are going to fill in all of our zeros.
00:28
Cosine has zeros at our negative pi over two and pi over two, where sign, which is our y piece, has its zeros at zero and pi.
00:39
Now, the max is a mince of both the x and y piece are going to be negative two and two, right? because it depends on whether our cosine value is a positive one or a negative one.
00:55
And when you take it to the third power, it's still going to be one or negative one.
00:58
So at 0 we get that positive one, so we'll have a 2, and then a negative 2 at pi, where we'll have our negative 2 at negative pi over 2 for sign and 2 for pi over 2...