MATH127 Study Guide - Midterm Guide: Farad, Nth Root, Hyperbola
16 Oct 2011
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Number systems- integers (z), real numbers (r), rational numbers (q) Snt (intersection) consists of elements common to both sets (and) Note: + infinity must have a round bracket. Quadratic formula- if ax2+bx+c = 0 then x = -b+ sqrt(b2-4ac)/2a: b2-4ac > 0 then 2 solutions, b2-4ac < 0 then no solutions, b2-4ac = 0 then 1 solution. Absolute value-the absolute value of a number a, |a|, is the distance from the number a to 0 on the real number line. Def"n: |a|= a if a >= 0; -a if a <0: sqrt (a2) = |a, |a| >= 0, for any aer, sqrt(a) means positive root; -sqrt(a) means the negative root, |ab|=|a||b, |a/b|=|a|/|b|; b cannot equal 0, |an|=|a|n. Lines- to find the equation of a line two things are needed: slope (m, a point of the line (x,y) Conics- an equation of a circle with radius r and centered at (h,k) is given by (x-h)2+(y-k)2=r2.
