r = <x,y,z>
r' = <x',y',z'>
The Attempt at a Solution
I started by finding the derivatives of each part of the vector and got:
x= 2/sqrt(t) y= 3t^2+1 z= 3t^2-1
Then I plugged the point (5,2,0) into that and got (2/sqrt(5), 13, -1). This should be multiplied by t. Then by plugging in (5,2,0) back into the original line, you get (1+4sqrt(5), 10, 0). I thought that the parametric equation for this would be (1+4sqrt(5), 10, 0) + (2/sqrt(5), 13, -1)*t, but it's not working. The solution y(t) = 2+4t is already given, so I'm obviously already wrong. Any idea what I did wrong?