a) Solve x 4 ?13 x 2 ?36 ?0 (4 Marks) b) Find the Market equilibrium price and the quantity if the..

a) Solve x 4 ?13 x 2 ?36 ?0 (4 Marks) b) Find the Market equilibrium price and the quantity if the..

a) Solve x4?13x2?36 ?0 (4 Marks)

b) Find the Market equilibrium price and the quantity if the demand equation is p?3q? 22 and the supply equationq2?2p?4q?100 where p is the price and q is the quantity of the commodity. Find the total revenue at the market equilibrium. (5 Marks)

c) i). Define the limit of a function f?x? (2 Marks)

x2 ? x?6ii). Evaluate the limit lim (3 Marks) x??3 x?3

iii). lim (3 Marks)

x??

d) Differentiate between contingent annuity and immediate annuity. (2 Marks)

e) If one of the roots of x2?px?q?0 is twice the other, show that 2p2?9q. (3 Marks)

If f?x??x2?x?1 and g?x??x?1 find f??g?x??? and