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 LBYECO1 Problem Set #1 Term 3, 2010-2011 07 February 2011 (Reminder: Deadline is on 14 February 2011 during class time. Print your answers on a scratch paper.) I. Simplify the following: a) x 4 .x 5  b) x 7 .x -3 c) x -2 .x -4 d) e) (x 2 ) 5  II. Perform the indicated operations: a) (2x+9)(3x-8) b) (6x-4y)(3x-5y) c) (3x-7) 2  d) (x+y)(x-y) e) Find the factors of the following (1) 20x 3 -45x (2) x 2 -25 (3) 12xy+25-4x 2 -9y 2  (4) x 2 y 2 -a 2 b 2  (5) 12x 3 -27xy 2  (6) 81-(2k+z) 2  III. Find the limit of the following: a) b) c) IV. Problem Solving a) Find the equilibrium price and quantity for the following markets: (1) Qs=-20+3P (3) Qs+32-7P=0 Qd=220-2P Qd-128+9P=0 (2) Qs=-45+8P (4) 13P-Qs=27 Qd=125-2P Qd+4P-24=0 b) 

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 LBYECO1

Problem Set #1Term 3, 2010-201107 February 2011

(Reminder: Deadline is on 14 February 2011 during class time. Print your answers on a scratch

paper.)

I.  Simplify the following:a)  x4.x5 b)  x7.x-3

c)  x-2.x-4

d) e)  (x2)5 

II.  Perform the indicated operations:

a)  (2x+9)(3x-8)b)  (6x-4y)(3x-5y)c)  (3x-7)2 d)  (x+y)(x-y)e)  Find the factors of the following

(1) 20x3-45x(2) x2-25(3) 12xy+25-4x2-9y2 (4) x2y2-a2b2 (5) 12x3-27xy2 

(6) 81-(2k+z)

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III. Find the limit of the following:a) b) c) 

IV. Problem Solvinga)  Find the equilibrium price and quantity for the following markets:

(1) Qs=-20+3P (3) Qs+32-7P=0

Qd=220-2P Qd-128+9P=0(2) Qs=-45+8P (4) 13P-Qs=27

Qd=125-2P Qd+4P-24=0b)