Chapter 7 Functions of Several Variables
Copyright © Houghton Mifflin Company. All rights reserved.7 | 2 Figure 7.1: Three-Dimensional Coordinate System
Copyright © Houghton Mifflin Company. All rights reserved.7 | 3 Figure 7.4: Distance and Midpoint Formulas
Copyright © Houghton Mifflin Company. All rights reserved.7 | 4 Distance Formula in Space
Copyright © Houghton Mifflin Company. All rights reserved.7 | 5 Midpoint Formula in Space
Copyright © Houghton Mifflin Company. All rights reserved.7 | 6 Figure 7.6: Standard Equation of a Sphere
Copyright © Houghton Mifflin Company. All rights reserved.7 | 7 Figure 7.10: General Equation of a Plane
Copyright © Houghton Mifflin Company. All rights reserved.7 | 8 Figure 7.12: Planes Parallel to Coordinate Planes
Copyright © Houghton Mifflin Company. All rights reserved.7 | 9 Figure 7.13: Planes Parallel to Coordinate Axes
Copyright © Houghton Mifflin Company. All rights reserved.7 | 10 Figure 7.14
Copyright © Houghton Mifflin Company. All rights reserved.7 | 11 Elliptic Cone
Copyright © Houghton Mifflin Company. All rights reserved.7 | 12 Elliptic Paraboloid
Copyright © Houghton Mifflin Company. All rights reserved.7 | 13 Hyperbolic Paraboloid
Copyright © Houghton Mifflin Company. All rights reserved.7 | 14 Ellipsoid
Copyright © Houghton Mifflin Company. All rights reserved.7 | 15 Hyperboloid of One Sheet
Copyright © Houghton Mifflin Company. All rights reserved.7 | 16 Hyperboloid of Two Sheets
Copyright © Houghton Mifflin Company. All rights reserved.7 | 17 Definition of a Function of Two Variables
Copyright © Houghton Mifflin Company. All rights reserved.7 | 18 Figure 7.19: Contour Maps and Level Curves
Copyright © Houghton Mifflin Company. All rights reserved.7 | 19 Partial Derivatives of a Function of Two Variables
Copyright © Houghton Mifflin Company. All rights reserved.7 | 20 Notation for First Partial Derivatives
Copyright © Houghton Mifflin Company. All rights reserved.7 | 21 Figure 7.23: Graphical Interpretation of Partial Derivatives
Copyright © Houghton Mifflin Company. All rights reserved.7 | 22 Figure 7.26: Relative Extrema of a Function of Two Variables
Copyright © Houghton Mifflin Company. All rights reserved.7 | 23 Figure 7.28: First-Partials Test for Relative Extrema
Copyright © Houghton Mifflin Company. All rights reserved.7 | 24 Second-Partials Test for Relative Extrema
Copyright © Houghton Mifflin Company. All rights reserved.7 | 25 Figure 7.34: Finding a Maximum Value
Copyright © Houghton Mifflin Company. All rights reserved.7 | 26 Method of Lagrange Multipliers
Copyright © Houghton Mifflin Company. All rights reserved.7 | 27 Figure 7.37: Measuring the Accuracy of a Mathematical Model
Copyright © Houghton Mifflin Company. All rights reserved.7 | 28 Figure 7.38: Sum of the Squared Errors
Copyright © Houghton Mifflin Company. All rights reserved.7 | 29 Definition of the Sum of the Squared Errors
Copyright © Houghton Mifflin Company. All rights reserved.7 | 30 The Least Squares Regression Line
Copyright © Houghton Mifflin Company. All rights reserved.7 | 31 Least Squares Regression Quadratic
Copyright © Houghton Mifflin Company. All rights reserved.7 | 32 Determining Area in the Plane by Double Integrals
Copyright © Houghton Mifflin Company. All rights reserved.7 | 33 Figure 7.48: Volume of a Solid Region
Copyright © Houghton Mifflin Company. All rights reserved.7 | 34 Determining Volume by Double Integrals
Copyright © Houghton Mifflin Company. All rights reserved.7 | 35 Guidelines for Finding the Volume of a Solid
Copyright © Houghton Mifflin Company. All rights reserved.7 | 36 Average Value of a Function over a Region
Copyright © Houghton Mifflin Company. All rights reserved.7 | 37 Algebra Summary: Solving Systems of Equations