If x, y and z are related to each other by the constraint 2xy^3 3yz + x^3z^2 = 6, then x may be regarded as implicitly a function of y and z.

(a) Find the value of x at the point on the graph of 2xy^3 3yz + x^3z^2 = 6 where y = 1 and z = 2. (b) Find formulas for x/y and x/z. (Your answer may be expressed in terms of x, y and z.) (c) Find x/y and x/z at the point you found in (a)