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## COLLEGE ALGEBRA (QL)(SSS)

by: Darren Schulist

18

0

5

# COLLEGE ALGEBRA (QL)(SSS) MATH 1050

Darren Schulist
Utah State University
GPA 3.77

Staff

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COURSE
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Staff
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PAGES
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WORDS
KARMA
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## Popular in Mathematics (M)

This 5 page Class Notes was uploaded by Darren Schulist on Wednesday October 28, 2015. The Class Notes belongs to MATH 1050 at Utah State University taught by Staff in Fall. Since its upload, it has received 18 views. For similar materials see /class/230419/math-1050-utah-state-university in Mathematics (M) at Utah State University.

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Date Created: 10/28/15
Refresher Course Math 1050 and 1060 Notes Set 7 Fall 2007 ltlt Partial Fraction Decomposition and Solving Systems of Eguations gtgt Note Consider the rational expression 2x41 Note that the degree of the x 3x 2 numerator is less than the degree of the denominator so the rational expression is in lowest terms Factoring reveals that x 1 x 1 x2 3x2 x1x 2 Because the numerator has degree less than the denominator there must exist constants A and B with x1ii x1x2 x1 x2 We now need to findA and B Page 1 of 5 Refresher Course Math 1050 and 1060 Notes Set 7 Fall 2007 2 4 7 Example Solve the system of equations x yl x y Note A system of two equations in two unknows can have exactly one solution more than one solution or no solution Page 2 of 5 Refresher Course Math 1050 and 1060 Notes Set 7 Fall 2007 Example Solve the system of linear equations x 2y3z9 x3y 4 2x 5y5z17 Page 3 0f 5 Refresher Course Math 1050 and 1060 Notes Set 7 Fall 2007 ltlt Systems of Inegualities gtgt Example Sketch the region containing all points that satisfy the system of inequalities xz ysl xySl Example Sketch the region containing all points that satisfy the system of inequalities xygt3 xylt 1 Page 4 of 5 Refresher Course Math 1050 and 1060 Notes Set 7 Fall 2007 Example Sketch the region containing all points that satisfy the system of inequalities xylt3 x2ygt3 Page 5 of 5

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