MULTIVARIABLE FUNCTIONS Functions of Two Variables
www.math.wsu.edu › faculty › genzMULTIVARIABLE FUNCTIONS Functions of Two Variables De nition: f(x;y) is a function of two variables if a unique f value is given for each (x;y) 2D, with D = f(x;y) jf(x;y) exists g, domain for f; the set of all f values is called the range of f. Examples: a) if f(x;y) = x2 + xy cos(xy), nd domain, range, f(1;1);f(2;1); b) if f(x;y) = x p
Introduction to Multivariable Functions
www.analyzemath.com › calculus › multivariableExamples of Multivariable Functions Example 1 A rectangle has a width W and a length L. The area A of the rectangle is given by A = W L. It is clear that if W and L vary, area A depends on two variables: width W and length L. Area A is said to be a function of two variables W and L. Example 2 A rectangular solid has width W, length L and height H. The volume V of the rectangular solid is given by V = W L H.