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# Solutions for Chapter 3.4: Precalculus 5th Edition ## Full solutions for Precalculus | 5th Edition

ISBN: 9780321837349 Solutions for Chapter 3.4

Solutions for Chapter 3.4
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##### ISBN: 9780321837349

Since 22 problems in chapter 3.4 have been answered, more than 11052 students have viewed full step-by-step solutions from this chapter. Chapter 3.4 includes 22 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780321837349. This textbook survival guide was created for the textbook: Precalculus, edition: 5. 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.

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• 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.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Linear regression equation

Equation of a linear regression line

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Relation

A set of ordered pairs of real numbers.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Sum identity

An identity involving a trigonometric function of u + v

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Tangent

The function y = tan x

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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