Ron Larson
ISBN #9781337275361
11th Edition
6,014 Questions
Homework Questions
Calculus of a Single Variable is a comprehensive guide that systematically builds the reader’s understanding from fundamental precalculus skills to advanced calculus techniques. It begins with essential topics such as graph analysis, linear functions, and trigonometry, laying the groundwork for exploring limits—a key concept that transitions students into the world of derivatives and differentiation rules. As the narrative unfolds, the book delves into applications of differentiation and integration, detailing methods for optimizing functions and solving real-world problems with techniques like Newton's Method and Riemann sums. Later chapters extend these ideas to advanced applications, including differential equations, infinite series, and the integration of conic sections and polar coordinates, ultimately equipping learners with both theoretical insights and practical problem-solving tools.
Chapter 0
Preparation for Calculus
Chapter 1
Limits and Their Properties
Chapter 2
Differentiation
Chapter 3
Applications of Differentiation
Chapter 4
Integration
Chapter 5
Logarithmic, Exponential, and Other Transcendental Functions
Chapter 6
Differential Equations
Chapter 7
Applications of Integration
Chapter 8
Integration Techniques and Improper Integrals
Chapter 9
Infinite Series
Chapter 10
Conics, Parametric Equations, and Polar Coordinates
Problem 1
Finding Intercepts Describe how to find the $x$-and $y$-intercepts of the graph of an equation.
Jacob Caudell Numerade Educator
Problem 2
Writing In your own words, describe primary equation, secondary equation, and feasible domain.
Sherrie Fenner Numerade Educator
Problem 3
Antiderivative be an antiderivative of a function $f$ on an interval $I$ ?
Problem 4
Describing Notation Write a brief description of the meaning of the notation $\lim _{x \rightarrow 8} f(x)=25$
Amy Jiang Numerade Educator
Problem 5
Integration by Parts Integration by parts is based on what formula?
Yaw Asomani Numerade Educator
Problem 6
CONCEPT CHECK Analyzing the Graph of a Function Name several of the concepts you have learned that are useful for analyzing the graph of a function.
Khoi V Numerade Educator
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