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# Solutions for Chapter 10.4: Mathematical Induction ## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845 Solutions for Chapter 10.4: Mathematical Induction

Solutions for Chapter 10.4
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##### ISBN: 9780321559845

This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 10.4: Mathematical Induction have been answered, more than 67309 students have viewed full step-by-step solutions from this chapter. Chapter 10.4: Mathematical Induction includes 48 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845.

Key Calculus Terms and definitions covered in this textbook
• Arccosine function

See Inverse cosine function.

• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Data

Facts collected for statistical purposes (singular form is datum)

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Double-angle identity

An identity involving a trigonometric function of 2u

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Frequency table (in statistics)

A table showing frequencies.

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• 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

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Remainder theorem

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

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Statute mile

5280 feet.

• System

A set of equations or inequalities.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertex of an angle

See Angle.

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