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.
Thanks a ton!