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# lecture1 - 2 ex Show that the line segments PQ and QR are...

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MAC 2311, Fall 2009 Calculus and Analytic Geometry LECTURER OFFICE OFFICE HOURS PHONE E-MAIL COURSE WEBSITE TEXTBOOK STUDENT GUIDE (SYLLABUS) PREREQUISITES

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EVENING EXAMS FINAL EXAM GRADING FOR MAC 2311 DISCUSSION POINTS QUIZZES HOMEWORK ONLINE HOMEWORK LECTURE PARTICIPATION SEMESTER EXAMS FINAL TOTAL GRADE Check your grade at e-Learning, https://lss.at.u .edu/
Lecture 1: Appendix A, B, C Precalculus Algebra Inequalities a < b and c > 0 ! ac < bc a < b and c < 0 ! ac > bc Solve and graph the solution set: ex. 3 3 6 x 18

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Solve and graph the solution set: ex. 2 x 2 + x 6 0 NOTE: ab > 0 if and only if a > 0 and b > 0 or a < 0 and b < 0
Absolute Value Def. If a is a real number, j a j so that j a j = 8 < : a 0 a < 0 ex. Write the expression without absolute value bars: j 5 2 j ex. If x 6 = 0, j x j x = 8 > < > : x < 0 x > 0

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Absolute Value Inequalities I. j x j < a if and only if II. j x j > a if and only if ex. Solve and express your answer using intervals: 5 2 x 3 > 1
Distance formula ex. Find the distance from (1 ; 4) to ( 1

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Unformatted text preview: 2). ex. Show that the line segments PQ and QR are perpendicular, where P = (0 ; 6), Q = (1 ; 1) and R = (11 ; 3) : Linear Equations Consider a line containing P 1 ( x 1 ;y 1 ) and P 2 ( x 2 ;y 2 ). Slope Point-Slope Form of the equation of a line Slope-Intercept Form of the equation of a line ex. Find the line with y ± intercept 6 that is parallel to 2 x + y + 4 = 0. ex. Find the equation of the line through the point ( ± 2 ; 3) which is perpendicular to the line 6 x ± 4 y = 9. Write in general form. Second-Degree Equations ex. Find the center and radius of the circle: 16 x 2 + 16 y 2 + 8 x + 32 y + 1 = 0 ex. Sketch the graph of the curve given by x 2 ± y ± 4 x + 3 = 0 6-? ± x y Additional Example Solve and graph the solution set: ± 3 < 1 x ² 1...
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