point on space curve

[jwpaine]

So... I took a bit of time off from school, and I've started up Calc III again if anyone could help me on this problem it would be great!

Working on vector-valued functions. Without actually stating the original problem, we have a space curve r(t) = <1+t, 2 + t^2, t^4>, and the point Q = (x, y, z) How do I go about finding if the point Q lies on the curve?

 

[Deleted member 4993]

So... I took a bit of time off from school, and I've started up Calc III again if anyone could help me on this problem it would be great!

Working on vector-valued functions. Without actually stating the original problem, we have a space curve r(t) = <1+t, 2 + t^2, t^4>, and the point Q = (x, y, z) How do I go about finding if the point Q lies on the curve?

We have

t = x-1

Then - check - does it satisfy

y = 2 + (x-1)^2

and

z = (x-1)^4