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# Solutions for Chapter 2: Calculus of a Single Variable 8th Edition

## Full solutions for Calculus of a Single Variable | 8th Edition

ISBN: 9780618503032

Solutions for Chapter 2

Solutions for Chapter 2
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##### ISBN: 9780618503032

Chapter 2 includes 15 full step-by-step solutions. Calculus of a Single Variable was written by and is associated to the ISBN: 9780618503032. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus of a Single Variable, edition: 8. Since 15 problems in chapter 2 have been answered, more than 1724 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Explanatory variable

A variable that affects a response variable.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Horizontal translation

A shift of a graph to the left or right.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Lower bound test for real zeros

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

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• 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.

• Random behavior

Behavior that is determined only by the laws of probability.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Stem

The initial digit or digits of a number in a stemplot.

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• y-intercept

A point that lies on both the graph and the y-axis.

• Zero factorial

See n factorial.

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