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# Solutions for Chapter 5.2: Area ## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245 Solutions for Chapter 5.2: Area

Solutions for Chapter 5.2
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##### ISBN: 9780618606245

Chapter 5.2: Area includes 86 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Since 86 problems in chapter 5.2: Area have been answered, more than 41667 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Key Calculus Terms and definitions covered in this textbook
• Characteristic polynomial of a square matrix A

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

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Divisor of a polynomial

See Division algorithm for polynomials.

• Imaginary unit

The complex number.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• 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

A measure that tells how widely distributed data are.

• Natural exponential function

The function ƒ1x2 = ex.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• 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.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Right triangle

A triangle with a 90° angle.

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Variation

See Power function.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

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