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# Solutions for Chapter 9.5: POWER SERIES AND INTERVAL OF CONVERGENCE ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 9.5: POWER SERIES AND INTERVAL OF CONVERGENCE

Solutions for Chapter 9.5
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##### ISBN: 9780470888612

This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 67 problems in chapter 9.5: POWER SERIES AND INTERVAL OF CONVERGENCE have been answered, more than 42387 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.5: POWER SERIES AND INTERVAL OF CONVERGENCE includes 67 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Amplitude

See Sinusoid.

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Cubic

A degree 3 polynomial function

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Divergence

A sequence or series diverges if it does not converge

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Limit to growth

See Logistic growth function.

• Modulus

See Absolute value of a complex number.

• Multiplicative identity for matrices

See Identity matrix

• Opens upward or downward

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

• Polar equation

An equation in r and ?.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Reference angle

See Reference triangle

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Solve by substitution

Method for solving systems of linear equations.

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• Unit vector

Vector of length 1.

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