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# Solutions for Chapter 6: Calculus of a Single Variable 8th Edition ## Full solutions for Calculus of a Single Variable | 8th Edition

ISBN: 9780618503032 Solutions for Chapter 6

Solutions for Chapter 6
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##### ISBN: 9780618503032

This textbook survival guide was created for the textbook: Calculus of a Single Variable, edition: 8. Calculus of a Single Variable was written by and is associated to the ISBN: 9780618503032. Since 13 problems in chapter 6 have been answered, more than 1788 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6 includes 13 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Difference of complex numbers

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

• Differentiable at x = a

ƒ'(a) exists

• Exponential decay function

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

• Factored form

The left side of u(v + w) = uv + uw.

• First quartile

See Quartile.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Initial side of an angle

See Angle.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Minute

Angle measure equal to 1/60 of a degree.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Real number

Any number that can be written as a decimal.

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Terminal point

See Arrow.

• Translation

See Horizontal translation, Vertical translation.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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