This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Slide 1 Functions of Several Variables Survey of Calculus Section 7.1 Slide 2 Function of Two Variables A function f of two variables is a rule such that to each ordered pair (x,y) in the domain of f there corresponds one and only one number f(x,y). If the domain is not stated, it will be the largest set of ordered pairs for which the function is defined. Slide 3 Example # 6, p. 542 Find the domain of y x y x f ln ) , ( = Slide 4 Exam ples To evaluate a function of more than one variable you simply plug in appropriate values. # 12 # 20 ) , ( ), ln( , ( 2 3 o e g find y x y x g- = ) 1 , 1 , 1 ( , ) , , (-- + + = f find ze ye xe z y x f x x y Slide 5 Surfaces Graphs of functions of two independent variables are called Surfaces in three-space. Examples: Slide 6 Why do we need functions of several variables? Because many times we need to find quantities that depend on more than one thing....
View Full Document
This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.
- Fall '05