If \(\frac{16}{9}\), x, 1, y are in geometric progression (G.P.). Find the product of x and y.

In the diagram above, the shaded portion is 

Find the values of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)

Solve the inequality \(\frac{1}{3}\)(2x - 1) < 5 

What is the smaller value of x for which x\(^2\) - 3x + 2 = 0 ?