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# Solutions for Chapter 9.6: The Ratio and Root Tests ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 9.6: The Ratio and Root Tests

Solutions for Chapter 9.6
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##### ISBN: 9781285774770

Since 110 problems in chapter 9.6: The Ratio and Root Tests have been answered, more than 43705 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 9.6: The Ratio and Root Tests includes 110 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Census

An observational study that gathers data from an entire population

• Complex fraction

See Compound fraction.

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Difference of complex numbers

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

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Graph of parametric equations

The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

• Horizontal shrink or stretch

See Shrink, stretch.

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Rational zeros

Zeros of a function that are rational numbers.

• Real number

Any number that can be written as a decimal.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Time plot

A line graph in which time is measured on the horizontal axis.

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