Can I get some help on this question. This is all the information that was provided. Thank you!

2. We say that two regular curves have a point of contact of order n at a point if there exist parameterisations o and B of them respectively such that the derivatives of o and B agree to order n at p. For example, two curves agree to first order at p if p = a(0) = B(0) and a'(0) = B'(0). Note that the 'zero-eth' derivative of a function is by convention just the function itself. A regular curve C and a regular surface S have a point of contact of order n at p if there is a regular curve C C S such that C and C have a point of contact of order n at p. (a) Prove that if f(x, y, =) = 0 describes a neighbourhood of p in S and a (t) = (x(t), y(t), z(t)) is a regular parameterisation of C with o(0) = p, then C and S have a point of contact of order at least 2 if and only if f(z(0), y(0), =(0)) = 0, d dt foo dt2 foo = 0. 1=0