For each of the following functions, determine whether they are convex, concave, or neither using the method provided in each option:
a) f1(x) = x^2 - 10x (prove)
b) f3(x) = 3x1 + 2x1^2 + 4x2 + x2^2 - 2x1x2 (use xHf(x)x)
c) f4(x) = x1^2 + 3x1x2 + 2x2^2 (use determinants of Hessian matrix)