1. Find the equation of the angle bisector of the angles between the lines 2x + y = 5 and x 2y = 1.
2: In how many ways can 5 boys and 3 girls be seated in a round table so that no girls are together?
3: Prove that all medians of a triangle are concurrent.
4: Show that n2 2 < 2n for all integers n > 2.
5: If y = f(x) is defined on a _ x _ b, suppose we rotate the graph of this function around X axis. Calculate the surface are of solid generated.
6: Is f(z) = zn + nwz one-to-one?