TAILIEUCHUNG - Ebook Calculus - Single and multivariable (5th edition): Part 2

(BQ) The book uses all strands of the 'Rule of Four' - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique. | Chapter Twelve FUNCTIONS OF Functions of Two Variables .638 Function Graphical Example A Weather Numerical Example Beef Consumption . . . 639 Algebraic Examples A Tour of 3-Space . 640 Graphing Equations in 3-Spacc . 641 Distance Between Two Graphs of Functions of Two Variables . 645 Visualizing a Function of Two Variables Using a Plotting the Graph of the Function f X3 y3 . . . 645 New Graphs from Old . .646 Cross-Sections and the Graph of a Function . 647 Linear When One Variable is Missing Cylinders . . 649 123 Contour Diagrams .652 Topographical Maps .652 Com Contour Diagrams and Graphs .654 Finding Contours Contour Diagrams and Using Contour Diagrams The Cobb-Douglas Production Function .658 Formula for a Production Function . . 659 Die Cobb-Douglas Production Model 659 Linear What is a Linear Function of Two Variables . 663 What Makes a Plane Flat .663 Linear Functions from a Numerical Point of View .664 What Does tile Contour Diagram of a Linear Function Look Like .665 Functions of Three Representing a Function of Three Variables Using a Family of Level Surfaces . . 669 A Catalog of Surfaces .671 How Surfaces CiUi Represent Functions of Two Variables and Functions of Three Limits and REVIEW CHECK YOUR UNDERSTANDING . 682 638 Chapter Twelve FUNCTIONS OF SEVERAL VARIABLES FUNCTIONS OF TWO VARIABLES Function Notation Suppose you want to calculate your monthly payment on a five-year car loan this depends on both the amount of money you borrow and the interest rate. These quantities can vary separately the loan amount can change while the interest rate remains the same or the interest rate can change while the loan amount remains the same. To calculate your monthly payment you need to know both. If the monthly payment is m the loan .

• Toán học
• Rule of Four
• Functions and change
• Exponential functions
• Functions os several variables
• A fundamental tool
• Differentiating functions of several variables
• Logarithmic functions
• Trigonometric functions
• The Derivative
• Short cuts to differentiation