MATH127 Lecture Notes - Lecture 2: Trigonometric Functions, Polynomial, Even And Odd Functions
27 views6 pages
17 Sep 2016
School
Department
Course
Professor
Document Summary
Essential functions (supposed to be high school review: linear function (function stylized as f^n) Both m and b are constants [x is the independent variable] However, there are physical limits (if you stretch the spring too far, then it will snap: power functions. F(x) = cx^a where c and a are constants. I a n (where a is a true integer) Very common power function; f(x) = 1/x^2 = x^-2. Ex; the intensity of light at a point a distance r from a source is given by; i(r)= p/ (4 r^2), where p is the power of the source. Coulomb"s law; f = ke (q1 q2 / r^2: polynomial (has finite terms. Ex; h(x) = 2x^4 9x^3 + 9x^2 + x 3. The coefficient of x^4 is positive so the curve goes downwards at first. Sub in x=0 to find y: rational functions. R(x) = p(x) / q(x), where p and q are polynomials: trigonometric functions.