00:01
So in this question, i want to find a parameterization for the curve y equals 4 minus 5x to the fourth that passes through the point 0, 4, 4 and is parallel to the xy plane.
00:16
So first of all, note we are parallel to the xy plane, and the equation of the xy plane is z equals 0.
00:25
So i'm going to have to have z equal to some constant if i am parallel to z equals 0.
00:34
Well, if we pass through the point 0, 4, 4, notice that my z coordinate here is 4, and so i am going to have to have z equals 4.
00:49
Now, how do i parameterize the curve y equals 4 minus 5x to the fourth that remains? well, to parameterize y as a function of x, here's what i do typically.
01:02
Just let your x equal your parameter t, and then your y can just be f of t...