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# Solutions for Chapter 4.3: Precalculus 5th Edition ## Full solutions for Precalculus | 5th Edition

ISBN: 9780321837349 Solutions for Chapter 4.3

Solutions for Chapter 4.3
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##### ISBN: 9780321837349

This expansive textbook survival guide covers the following chapters and their solutions. Since 14 problems in chapter 4.3 have been answered, more than 11024 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 5. Chapter 4.3 includes 14 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780321837349.

Key Calculus Terms and definitions covered in this textbook
• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Divisor of a polynomial

See Division algorithm for polynomials.

• Length of a vector

See Magnitude of a vector.

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• 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.

• 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.

• Rational zeros

Zeros of a function that are rational numbers.

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• 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.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Zero matrix

A matrix consisting entirely of zeros.

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