The ninth edition of Calculus and Analytical Geometry has been thoroughly updated to say only what is true and mathematically sound. As in earlier editions, there are Practice Exercises, Questions to Guide Your Review, Additional Exercises—Theory, Examples and Applications, at the end of each section. Features Exercises have been reorganized to facilitate assigning a subset of the material in a section. New Computer Algebra System (CAS) explorations and projects that require a CAS have been included. Technology Connection notes appear throughout the text suggesting experiments students might do with a grapher to supplement their understanding of given topic. Contents Preliminaries Limits and Continuity Derivatives Applications of Derivatives Integration Applications of Integrals Transcendental Functions Techniques of Integration Infinite Series Conic Sections, Parametrized Curves, and Polar Coordinates Vectors and Analytic Geometry in Space Vector-Valued Functions and Motion in Space Multivariable Functions and Partial Derivatives Multiple Integrals Integration in Vector Fields Appendices