MATH 2400 Chapter Notes - Chapter 11.1: Dot Product, Wind Chill, Level Set
16 Sep 2016
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Textbook: calculus concepts & contexts 4 james stewart. 11. 1 functions of several variable: a function f of two variables is a rule that assigns to each ordered pair (x,y) of real numbers in its domain a unique real number denoted by f(x,y) Example: we can determine that the wind chill is a function of temperature and wind speed. We look at a graph of wind speed vs. actual temperature and from there we can determine the wind chill of those numbers. Example: we can also find the domain and range of a function. Functions of three or more variable: a function of three variables, f, is a rule that assigns to each ordered triple (x,y,z) in a domain d of all real numbers, a unique real number denoted by f(x,y,z) Level surfaces with equations f(x,y,z) =k, where k is a constant. If the point (x,y,z) moves along a level surface, the value of f(x,y,z) remains fixed.
