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# 010f12 - College Algebra II(Math 010 Fall 2012 Final Exam...

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College Algebra II (Math 010) Fall 2012 Final Exam Howard University Department of Mathematics December 4, 2012 Name: Do all of the following problems. Show all your work on the blue- book provided. No work, No credit. Good Luck! TIME ALLOTTED: 2 hrs. 1. 20points Given the following matrices A = 3 6 2 4 , B = 2 5 2 3 C = 1 3 0 2 1 1 Find: (a) A + B and A 5 B (b) AC and CA 2. 20points Given the following system of equations: 2 x + 4 y + z = 7 x + y z = 0 x + 4 y = 2 (a) Write the Augmented Matrix of the system. (b) Use any method to solve the system. 3. 20points (a) Graph the feasible region described by the following constraints: x 0 , y 0 , 6 x + 8 y 48 , y 4 , x 7 . (b) Find the maximum and the minimum values of the objective function P ( x, y ) = 17 x 3 y + 60 over the feasible region of part (a.) 4. 20points For the rational function R ( x ) = 2 x + 4 x 2 5 x 6 (a) Find the horizontal and vertical asymptotes (if any) (b) Find the x and y intercepts (if any) (c) State the domain.

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