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# Solutions for Chapter 10.5: The Ratio and Root Tests and Strategies for Choosing Tests ## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885 Solutions for Chapter 10.5: The Ratio and Root Tests and Strategies for Choosing Tests

Solutions for Chapter 10.5
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##### ISBN: 9781464114885

Since 65 problems in chapter 10.5: The Ratio and Root Tests and Strategies for Choosing Tests have been answered, more than 40740 students have viewed full step-by-step solutions from this chapter. Chapter 10.5: The Ratio and Root Tests and Strategies for Choosing Tests includes 65 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Absolute value of a vector

See Magnitude of a vector.

• Arccosecant function

See Inverse cosecant function.

• Arctangent function

See Inverse tangent function.

• Circle graph

A circular graphical display of categorical data

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Differentiable at x = a

ƒ'(a) exists

• Divergence

A sequence or series diverges if it does not converge

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Inductive step

See Mathematical induction.

• Instantaneous rate of change

See Derivative at x = a.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Inverse function

The inverse relation of a one-to-one function.

• 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

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Third quartile

See Quartile.

• Zero vector

The vector <0,0> or <0,0,0>.

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