1. (3 pts) Let f :U C Rn+1 R, U open, f eCl and f(x,t) = 0 where x e R and t E R. Suppose Dxf(x, t) is onto. Then, by the implicit function theorem, on a neighborhood of (x, t), there is a unique Cl function x(t).such that x(t) = x, f(x(t),t) = 0. Find the expression for *(t) at t = t 1. (3 pts) Let f :U C Rn+1 R, U open, f eCl and f(x,t) = 0 where x e R and t E R. Suppose Dxf(x, t) is onto. Then, by the implicit function theorem, on a neighborhood of (x, t), there is a unique Cl function x(t).such that x(t) = x, f(x(t),t) = 0. Find the expression for *(t) at t = t