**Questions**

- The demand equation for a market is given by:

q(1 + 2 ln p) = 2

**(a)** Show that the elasticity of demand is equal to the inverse demand function.

**(b)** Hence, determine the range of values of p such that the elasticity of demand will be elastic.

- Let for values of x where it is defined.

**(a)** Find all the x and y-intercept of the curve y = f(x).

**(b)** Find all the horizontal and vertical asymptotes of the curve y = f(x).

**(c)** Find and classify all the stationary points of f(x).

**(d)** Sketch the curve y = f(x).

- Show that the function f is given by

f(x, y) = y² − 4xy + 4x² + x²y²,

has just one stationary point, and classifies it.