For each of the following two preferences, calculate the demand function for each good, the income elasticity of demand, the price elasticity of demand (for their own price and the price of the other good) and determine whether the goods are normal or inferior, compliments or substitutes, and if they are Giffen goods.

1. u(x₁, x₂) = 0.5x₁² + ln(x₂)

2.u(x₁, x₂) = ln(x₁) +2x₂