 Chapter 1: Limits and Their Properties
 Chapter 1.1: A Preview of Calculus
 Chapter 1.2: Finding Limits Graphically and Numerically
 Chapter 1.3: Evaluating Limits Analytically
 Chapter 1.4: Continuity and OneSided Limits
 Chapter 1.5: Infinite Limits
 Chapter 2: Differentiation
 Chapter 2.1: The Derivative and the Tangent Line Problem
 Chapter 2.2: Basic Differentiation Rules and Rates of Change
 Chapter 2.3: The Product and Quotient Rules and HigherOrder Derivatives
 Chapter 2.4: The Chain Rule
 Chapter 2.5: Implicit Differentation
 Chapter 2.6: Related Rates
 Chapter 3: Applications of Differentation
 Chapter 3.1: Extrema on an Interval
 Chapter 3.2: Rolle's Theorem and the Mean Value Theorem
 Chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test
 Chapter 3.4: Concavity and the Second Derivative Test
 Chapter 3.5: Limits at Infinity
 Chapter 3.6: A Summary of Curve Sketching
 Chapter 3.7: Optimization Problems
 Chapter 3.8: Newton's Method
 Chapter 3.9: Differentials
 Chapter 4: Integration
 Chapter 4.1: Antiderivatives and Indefinite Integration
 Chapter 4.2: Area
 Chapter 4.3: Riemann Sums and Definite Integrals
 Chapter 4.4: The Fimdamental Theorem of Calculus
 Chapter 4.5: Integration by Substitution
 Chapter 4.6: Numerical Integration
 Chapter 5: Logaritliniic, Exponential, and Other TianscenUcntal Functions
 Chapter 5.1: The Natural Logarithmic Function: Differentiation
 Chapter 5.2: The Natural Logarithmic Function: Integration
 Chapter 5.3: Inverse Fimctions
 Chapter 5.4: Exponential Functions: Differentiation and Integration
 Chapter 5.5: Bases Other than e and Applications
 Chapter 5.6: Differential Equations: Growth and Decay
 Chapter 5.7: Differential Equations: Separation of Variables
 Chapter 5.8: Inverse Trigonometric Functions: Differentiation
 Chapter 5.9: Inverse Trigonometric Functions: Integration
 Chapter 6: Applications of Integration
 Chapter 6.1: Area of a Region Between Two Curves
 Chapter 6.2: Volume: The Disk Method
 Chapter 6.3: Volume: The Shell Method
 Chapter 6.4: Arc Lencth and Surfaces of Ro\nliition
 Chapter 6.5: Work
 Chapter 6.6: Monicnls. Centers of Mass, and Centioids
 Chapter 6.7: Fluid Pressure and Fluid Force
 Chapter 7: Integraticm Techniques, L^Hopital's Rule, and Improper Integrals
 Chapter 7.1: BLisic liilesjration Rules
 Chapter 7.2: lntegralion by Parts
 Chapter 7.3: Trigonometric Integrals
 Chapter 7.4: Trigonometric Substitution
 Chapter 7.5: Partial Fractions
 Chapter 7.6: Integration by Tables and Other Integration Techniques
 Chapter 7.7: Indeterminate Forms and l/Hopital's Rule
 Chapter 7.8: Improper Integrals
 Chapter 8: Infinite Series
 Chapter 8.1: Sequences
 Chapter 8.10: Tarjrior iwia Maclaurin Series
 Chapter 8.2: Series and Convergence
 Chapter 8.3: The Integral Test and Series
 Chapter 8.4: Comparisons of Series
 Chapter 8.5: Alternating Series
 Chapter 8.6: The Ratio and Root Tests
 Chapter 8.7: Taylor Polynomials and ApprOxiniatlons
 Chapter 8.8: Power Series
 Chapter 8.9: Representation of Functions by Power Series
 Chapter 9: Conies. Parametric Equations, and Polar Coordinates
 Chapter 9.1: Conics and Calculus
 Chapter 9.2: Plane Curves and Parametric Equations
 Chapter 9.3: Parametric Equations and Calculus
 Chapter 9.4: Polar Cqordmates and Polar Graphs
 Chapter 9.5: Area andArc Length in Polar Coordinates
 Chapter 9.6: Polar Equations of Conies and Kepler's Laws
 Chapter P: Preparation for Calculus
 Chapter P.1: Graphs and Models
 Chapter P.2: Linear Models and Rates of Change
 Chapter P.3: Functions and Their Graph's
 Chapter P.4: Fitting Models to Data
Calculus of A Single Variable 7th Edition  Solutions by Chapter
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Calculus of A Single Variable  7th Edition  Solutions by Chapter
Get Full SolutionsThis expansive textbook survival guide covers the following chapters: 80. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Since problems from 80 chapters in Calculus of A Single Variable have been answered, more than 18650 students have viewed full stepbystep answer. The full stepbystep solution to problem in Calculus of A Single Variable were answered by , our top Calculus solution expert on 03/14/18, 08:13PM.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Finite series
Sum of a finite number of terms.

Frequency distribution
See Frequency table.

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Inverse cotangent function
The function y = cot1 x

Linear system
A system of linear equations

Natural logarithm
A logarithm with base e.

Normal curve
The graph of ƒ(x) = ex2/2

Pointslope form (of a line)
y  y1 = m1x  x 12.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Quartic function
A degree 4 polynomial function.

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Right triangle
A triangle with a 90° angle.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Standard form of a complex number
a + bi, where a and b are real numbers

Variance
The square of the standard deviation.