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# Solutions for Chapter 9.4: Mathematical Induction

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 9.4: Mathematical Induction

Solutions for Chapter 9.4
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##### ISBN: 9780618643448

Since 74 problems in chapter 9.4: Mathematical Induction have been answered, more than 28497 students have viewed full step-by-step solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter 9.4: Mathematical Induction includes 74 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• 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.

• Cosine

The function y = cos x

• Descriptive statistics

The gathering and processing of numerical information

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Explanatory variable

A variable that affects a response variable.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Modified boxplot

A boxplot with the outliers removed.

• Negative angle

Angle generated by clockwise rotation.

• Octants

The eight regions of space determined by the coordinate planes.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Period

See Periodic function.

• Polar axis

See Polar coordinate system.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• System

A set of equations or inequalities.

• Variable

A letter that represents an unspecified number.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

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