 Chapter 1: Functions and Models
 Chapter 1.1: Four Ways to Represent a Function
 Chapter 1.2: Mathematical Models: A Catalog of Essential Functions
 Chapter 1.3: New Functions from Old Functions
 Chapter 1.4: Graphing Calculators and Computers
 Chapter 1.5: Exponential Functions
 Chapter 1.6: Inverse Functions and Logarithms
 Chapter 10: Parametric Equations and Polar Coordinates
 Chapter 10.1: Curves Defined by Parametric Equations
 Chapter 10.2: Calculus with Parametric Curves
 Chapter 10.3: Polar Coordinates
 Chapter 10.4: Areas and Lengths in Polar Coordinates
 Chapter 10.5: Conic Sections
 Chapter 10.6: Conic Sections in Polar Coordinates
 Chapter 11: Infinite Sequences and Series
 Chapter 11.1: Sequences
 Chapter 11.10: Taylor and Maclaurin Series
 Chapter 11.11: The Binomial Series
 Chapter 11.12: Applications of Taylor Polynomials
 Chapter 11.2: Series
 Chapter 11.3: The Integral Test and Estimates of Sums
 Chapter 11.4: The Comparison Tests
 Chapter 11.5: Alternating Series
 Chapter 11.6: Absolute Convergence and the Ratio and Root Tests
 Chapter 11.7: Strategy for Testing Series
 Chapter 11.8: Power Series
 Chapter 11.9: Representations of Functions as Power Series
 Chapter 12: Vectors and the Geometry of Space
 Chapter 12.1: ThreeDimensional Coordinate Systems
 Chapter 12.2: Vectors
 Chapter 12.3: The Dot Product
 Chapter 12.4: The Cross Product
 Chapter 12.5: Equations of Lines and Planes
 Chapter 12.6: Cylinders and Quadric Surfaces
 Chapter 12.7: Cylindrical and Spherical Coordinates
 Chapter 13: Vector Functions
 Chapter 13.1: Vector Functions and Space Curves
 Chapter 13.2: Derivatives and Integrals of Vector Functions
 Chapter 13.3: Arc Length and Curvature
 Chapter 13.4: Motion in Space: Velocity and Acceleration
 Chapter 14: Partial Derivatives
 Chapter 14.1: Functions of Several Variables
 Chapter 14.2: Limits and Continuity
 Chapter 14.3: Partial Derivatives
 Chapter 14.4: Tangent Planes and Linear Approximations
 Chapter 14.5: The Chain Rule
 Chapter 14.6: Directional Derivatives and the Gradient Vector
 Chapter 14.7: Maximum and Minimum Values
 Chapter 14.8: Lagrange Multipliers
 Chapter 15: Multiple Integrals
 Chapter 15.1: Double Integrals over Rectangles
 Chapter 15.2: Iterated Integrals
 Chapter 15.3: Double Integrals over General Regions
 Chapter 15.4: Double Integrals in Polar Coordinates
 Chapter 15.5: Applications of Double Integrals
 Chapter 15.6: Surface Area
 Chapter 15.7: Triple Integrals
 Chapter 15.8: Triple Integrals in Cylindrical and Spherical Coordinates
 Chapter 15.9: Change of Variables in Multiple Integrals
 Chapter 16: Vector Calculus
 Chapter 16.1: Vector Fields
 Chapter 16.2: Line Integrals
 Chapter 16.3: The Fundamental Theorem for Line Integrals
 Chapter 16.4: The Fundamental Theorem for Line Integrals
 Chapter 16.5: Curl and Divergence
 Chapter 16.6: Parametric Surfaces and Their Areas
 Chapter 16.7: Surface Integrals
 Chapter 16.8: Stokes Theorem
 Chapter 16.9: The Divergence Theorem
 Chapter 17: SecondOrder Differential Equations
 Chapter 17.1: SecondOrder Linear Equations
 Chapter 17.2: Nonhomogeneous Linear Equations
 Chapter 17.3: Applications of SecondOrder Differential Equations
 Chapter 17.4: Series Solutions
 Chapter 2: Limits and Derivatives
 Chapter 2.1: The Tangent and Velocity Problems
 Chapter 2.2: The Limit of a Function
 Chapter 2.3: Calculating Limits Using the Limit Laws
 Chapter 2.4: The Precise Definition of a Limit
 Chapter 2.5: Continuity
 Chapter 2.6: Limits at Infinity; Horizontal Asymptotes
 Chapter 2.7: Tangents, Velocities, and Other Rates of Change
 Chapter 2.8: Derivatives
 Chapter 2.9: The Derivative as a Function
 Chapter 3: Differentiation Rules
 Chapter 3.1: Derivatives of Polynomials and Exponential Functions
 Chapter 3.10: Related Rates
 Chapter 3.11: Linear Approximations and Differentials
 Chapter 3.3: 
 Chapter 3.4: Derivatives of Trigonometric Functions
 Chapter 3.5: The Chain Rule
 Chapter 3.6: Implicit Differentiation
 Chapter 3.7: Higher Derivatives
 Chapter 3.8: Derivatives of Logarithmic Functions
 Chapter 3.9: Hyperbolic Functions
 Chapter 4: Applications of Differentiation
 Chapter 4.1: Maximum and Minimum Values
 Chapter 4.10: Antiderivatives
 Chapter 4.2: The Mean Value Theorem
 Chapter 4.3: How Derivatives Affect the Shape of a Graph
 Chapter 4.4: Indeterminate Forms and LHospitals Rule
 Chapter 4.5: Summary of Curve Sketching
 Chapter 4.6: Graphing with Calculus and Calculators
 Chapter 4.7: Optimization Problems
 Chapter 4.8: Applications to Business and Economics
 Chapter 4.9: Newtons Method
 Chapter 5: Integrals
 Chapter 5.1: Areas and Distances
 Chapter 5.2: The Definite Integral
 Chapter 5.3: The Fundamental Theorem of Calculus
 Chapter 5.4: Indefinite Integrals and the Net Change Theorem
 Chapter 5.5: The Substitution Rule
 Chapter 5.6: The Logarithm Defined as an Integral
 Chapter 6: Applications of Integration
 Chapter 6.1: Areas between Curves
 Chapter 6.2: Volumes
 Chapter 6.3: Volumes by Cylindrical Shells
 Chapter 6.4: Work
 Chapter 6.5: Average Value of a Function
 Chapter 7: Techniques of Integration
 Chapter 7.1: Integration by Parts
 Chapter 7.2: Trigonometric Integrals
 Chapter 7.3: Trigonometric Substitution
 Chapter 7.4: Integration of Rational Functions by Partial Fractions
 Chapter 7.5: Strategy for Integration
 Chapter 7.6: Integration Using Tables and Computer Algebra Systems
 Chapter 7.7: Approximate Integration
 Chapter 7.8: Improper Integrals
 Chapter 8: Further Applications of Integration
 Chapter 8.1: Arc Length
 Chapter 8.2: Area of a Surface of Revolution
 Chapter 8.3: Applications to Physics and Engineering
 Chapter 8.4: Applications to Economics and Biology
 Chapter 8.5: Probability
 Chapter 9: Differential Equations
 Chapter 9.1: Modeling with Differential Equations
 Chapter 9.2: Direction Fields and Eulers Method
 Chapter 9.3: Separable Equations
 Chapter 9.4: Exponential Growth and Decay
 Chapter 9.5: The Logistic Equation
 Chapter 9.6: Linear Equations
 Chapter 9.7: PredatorPrey Systems
Calculus, 5th Edition  Solutions by Chapter
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Calculus,  5th Edition  Solutions by Chapter
Get Full SolutionsThe full stepbystep solution to problem in Calculus, were answered by Patricia, our top Calculus solution expert on 01/25/18, 04:16PM. Calculus, was written by Patricia and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters: 142. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since problems from 142 chapters in Calculus, have been answered, more than 12026 students have viewed full stepbystep answer.

Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

Determinant
A number that is associated with a square matrix

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Mode of a data set
The category or number that occurs most frequently in the set.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Parametric curve
The graph of parametric equations.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Real number
Any number that can be written as a decimal.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Third quartile
See Quartile.

Ymax
The yvalue of the top of the viewing window.

Zero factorial
See n factorial.

Zoom out
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).
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