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# Solutions for Chapter C.1: Real Numbers and the Real Number Line

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter C.1: Real Numbers and the Real Number Line

Solutions for Chapter C.1
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##### ISBN: 9781285774770

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Since 82 problems in chapter C.1: Real Numbers and the Real Number Line have been answered, more than 43294 students have viewed full step-by-step solutions from this chapter. Chapter C.1: Real Numbers and the Real Number Line includes 82 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Anchor

See Mathematical induction.

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Correlation coefficient

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

• Distributive property

a(b + c) = ab + ac and related properties

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Infinite limit

A special case of a limit that does not exist.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Order of an m x n matrix

The order of an m x n matrix is m x n.

A procedure for fitting a quadratic function to a set of data.

• Rational zeros

Zeros of a function that are rational numbers.

• Real axis

See Complex plane.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Supply curve

p = ƒ(x), where x represents production and p represents price

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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