The question is asking you to deparameterize the curve. Since and , a substitution gives .
1. The problem statement, all variables and given/known data
Given a function f: R-R2 , by f(t) = (t, t^2 - cos(t)), which represents a curve in the xy plane parametrically, give a function whose GRAPH represents this same curve.
2) Also, give a function h whose level set for height k=0 represents this same curve.
3. The attempt at a solution
From what I know, the graph of this function would be in R3. How would I make a function of a graph from that function? I'm probably missing an easy point but haven't picked up on it yet.
For number 2, I'm pretty confused on where to begin this problem.
Any thoughts?
Thanks a ton!