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# Solutions for Chapter 9.6: The Ratio and Root Tests ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 9.6: The Ratio and Root Tests

Solutions for Chapter 9.6
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##### ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.6: The Ratio and Root Tests includes 106 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 106 problems in chapter 9.6: The Ratio and Root Tests have been answered, more than 83105 students have viewed full step-by-step solutions from this chapter. Calculus was written by and is associated to the ISBN: 9780618502981.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Equivalent vectors

Vectors with the same magnitude and direction.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Horizontal component

See Component form of a vector.

• Hyperboloid of revolution

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

• Instantaneous rate of change

See Derivative at x = a.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Measure of center

A measure of the typical, middle, or average value for a data set

• Monomial function

A polynomial with exactly one term.

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Permutation

An arrangement of elements of a set, in which order is important.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• 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>

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Unit vector

Vector of length 1.

• Venn diagram

A visualization of the relationships among events within a sample space.

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