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Solutions for Chapter P.2: Prerequisites

Full solutions for Precalculus: Graphical, Numerical, Algebraic | 8th Edition

ISBN: 9780321656933

Solutions for Chapter P.2: Prerequisites

Solutions for Chapter P.2
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ISBN: 9780321656933

This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Since 80 problems in chapter P.2: Prerequisites have been answered, more than 43277 students have viewed full step-by-step solutions from this chapter. Chapter P.2: Prerequisites includes 80 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Common logarithm

A logarithm with base 10.

• Derivative of ƒ at x a

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

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Elimination method

A method of solving a system of linear equations

• Explanatory variable

A variable that affects a response variable.

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Limit to growth

See Logistic growth function.

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Order of magnitude (of n)

log 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

• Polar equation

An equation in r and ?.

• Quotient of complex numbers

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

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Slant line

A line that is neither horizontal nor vertical

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

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