a) y = $2x^2$ for x ∈ [0, 2]
b) the line segment from (0,0,2) to (0,0,5)
c) $(\frac xa)^2$ + $(\frac yb)^2$ = 1
Sorry about the form, I wasn't sure how to do some signs.
I know the basic idea of parameterization - which is a vector representation of a curve in 2D or 3D. (1D curve -> 2D or 3D).
I also know that all curves in 2D are defined by: r(t) = < t , f(t) >
So for a), I tried to sub x=t for the x component and y=f(t) for y component, getting r(t) = < t , $t^2$ >.
For b), I had no idea what to do, so i created a vector with the two given points and was lost since there.
For c), I re-arranged for y, then subbed x=t and y=f(t), getting r(t)= < t , ${\sqrt(1-\frac xa)}^2 *b $
Again, sorry for the bad form, but can anyone guide me on what I need to do / what I did wrong.
Thanks.