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# Solutions for Chapter 1.2: Calculus: Early Transcendentals 1st Edition

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 1.2

Solutions for Chapter 1.2
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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 1.2 includes 66 full step-by-step solutions. Since 66 problems in chapter 1.2 have been answered, more than 74166 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Boundary

The set of points on the “edge” of a region

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Chord of a conic

A line segment with endpoints on the conic

• Double-angle identity

An identity involving a trigonometric function of 2u

• Equilibrium price

See Equilibrium point.

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Initial side of an angle

See Angle.

• 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

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Measure of an angle

The number of degrees or radians in an angle

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Solve a triangle

To find one or more unknown sides or angles of a triangle

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