Show all work for the problems in the pictures below.

1. The demand equation for :r KU football game tickets is given by d(:v) = 20:32 501: + 200 (a) Find the revenue function R(x). (b) Find the marginal revenue function. 2. If a demand equation is given by f(p) = (144 4p2)3/2 (a) Find the elasticity of demand when p = 1, and state whether it is elastic, inelastic or unitary. (b) Find the elasticity of demand when p = 5 and state whether it is elastic, inelastic or unitary. (c) Find the price when elasticity of demand is unitary. 3. Find the differentials of the following: (a) m) = $1 (b) g(x) = (x2 + 3x + 2)(x + 4) 4. Using differentials, approximate the value of \\3/ 27.4 5. Find 3: for the following expressions (a) 3x2+4xy=y3+2y+5 (b) any = x5 +3my+7 6. Two cyclists are departing from the same coffee shop. Cyclist A leaves one hour later than Cyclist B (as they are having another coffee), and will cycle north at 15mph. Cyclist B travels west at 12mph. Find the rate at which the distance between the two cyclists is changing three hours after Cyclist B departs