College AlgebraThis book presents the traditional content of Precalculus in a manner that answers the age-old question of "When will I ever use this?" Highlighting truly relevant applications, this book presents the material in an easy to teach from/easy to learn from approach.KEY TOPICS Chapter topics include equations, inequalities, and mathematical models; functions and graphs; polynomial and rational functions; exponential and logarithmic functions; systems of equations and inequalities; matrices and determinants; conic sections; and sequences, induction, and probability. For engineers of every kind, manufacturing personnel, technologists, technicians, and technical marketing professionals. |
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Page 565
Robert Blitzer. 3 Evaluate a third - order determinant . EXAMPLE 2 Using Cramer's Rule to Solve a Linear System Use Cramer's rule to solve the system : 5x - 4y = 2 6x5y = 1 . Solution Because Dx Dy X and y D D ' we will set up and ...
Robert Blitzer. 3 Evaluate a third - order determinant . EXAMPLE 2 Using Cramer's Rule to Solve a Linear System Use Cramer's rule to solve the system : 5x - 4y = 2 6x5y = 1 . Solution Because Dx Dy X and y D D ' we will set up and ...
Page 569
... Cramer's Rule to Solve a Linear System in Three Variables Use Cramer's rule to solve : - x + 2y − z = −4 - x + 4y 2z = 2x + 3y + z = -6 3 . The solution ( -2 , 1 , 4 ) can Section 6.5⚫ Determinants and Cramer's Rule 569.
... Cramer's Rule to Solve a Linear System in Three Variables Use Cramer's rule to solve : - x + 2y − z = −4 - x + 4y 2z = 2x + 3y + z = -6 3 . The solution ( -2 , 1 , 4 ) can Section 6.5⚫ Determinants and Cramer's Rule 569.
Page 574
... Cramer's rule . 56. In applying Cramer's rule , what does it mean if D = 0 ? 57. The process of solving a linear system in three variables using Cramer's rule can involve tedious computation . Is there a way of speeding up this process ...
... Cramer's rule . 56. In applying Cramer's rule , what does it mean if D = 0 ? 57. The process of solving a linear system in three variables using Cramer's rule can involve tedious computation . Is there a way of speeding up this process ...
Common terms and phrases
absolute value algebraic expression average ax² binomial Check Point common factor complex numbers cost degree Describe determine distance Divide both sides equation in Exercises Evaluate EXAMPLE EXERCISE SET exponential feet function f(x given equation graph of f(x graph of ƒ graph the solution graphing utility horizontal asymptote inequality integer inverse function leading coefficient least common denominator linear equation logarithmic miles million Multiply negative number number line obtain ordered pairs parabola percentage point-slope polynomial equation polynomial function possible rational problems quadratic equation quadratic formula quadratic function quotient rule radical rational expressions rational function Rational Zero Theorem rational zeros real numbers real zeros rectangular coordinate system scientific notation shows Simplify slope solution set solve Exercises standard form Step Study Tip Substitute Subtract synthetic division Theorem units variable verify vertex vertical asymptote viewing rectangle x-axis x-intercept x₁ y-axis y-coordinate y₁