MATH 157 Study Guide - Midterm Guide: Asymptote

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 157
• Professor: Petra Menz

Document Summary

The absolute value of a number a is denoted by |a| and is defined by a being a (a bigger or equal to 0) or a (a is smaller than 0) Distance between two numbers: the distance between any two real numbers, a and b is given by |a-b| Integer exponent: a^n is defined as a^n = a times a times a times a (ntimes) Where a is called base (any real number), and the superscript n is a positive integer called the power. Fractional exponent: a 1/n is defined as n square root of a and denotes the nth root of a, where a and n are positive. Distance formula: given two points, (x1,y1) and (x2,y2) Equation of a circle: a point on the circle (x,y), c(h,k) center, radius = r (x-h)^2+(y-k)^2=r^2. General form: ax+by+c=0