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Textbooks / Calculus / Thomas' Calculus: Early Transcendentals 13

# Thomas' Calculus: Early Transcendentals 13th Edition - Solutions by Chapter ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Thomas' Calculus: Early Transcendentals | 13th Edition - Solutions by Chapter

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##### ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. The full step-by-step solution to problem in Thomas' Calculus: Early Transcendentals were answered by , our top Calculus solution expert on 08/01/17, 02:37PM. Since problems from 138 chapters in Thomas' Calculus: Early Transcendentals have been answered, more than 135598 students have viewed full step-by-step answer. This expansive textbook survival guide covers the following chapters: 138. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Arctangent function

See Inverse tangent function.

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Central angle

An angle whose vertex is the center of a circle

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Response variable

A variable that is affected by an explanatory variable.

• Sum identity

An identity involving a trigonometric function of u + v

• Translation

See Horizontal translation, Vertical translation.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• xz-plane

The points x, 0, z in Cartesian space.

• Zero vector

The vector <0,0> or <0,0,0>.