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# Solutions for Chapter 10: APPROXIMATING FUNCTIONS USING SERIES ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 10: APPROXIMATING FUNCTIONS USING SERIES

Solutions for Chapter 10
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##### ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10: APPROXIMATING FUNCTIONS USING SERIES includes 64 full step-by-step solutions. Since 64 problems in chapter 10: APPROXIMATING FUNCTIONS USING SERIES have been answered, more than 45038 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Augmented matrix

A matrix that represents a system of equations.

• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Extracting square roots

A method for solving equations in the form x 2 = k.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Inductive step

See Mathematical induction.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Negative linear correlation

See Linear correlation.

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Open interval

An interval that does not include its endpoints.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Symmetric property of equality

If a = b, then b = a

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Venn diagram

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

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