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# Solutions for Chapter 12-8: Error Analysis for SeriesThe Lagrange Error Bound

## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547

Solutions for Chapter 12-8: Error Analysis for SeriesThe Lagrange Error Bound

Solutions for Chapter 12-8
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##### ISBN: 9781559536547

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Chapter 12-8: Error Analysis for SeriesThe Lagrange Error Bound includes 33 full step-by-step solutions. Since 33 problems in chapter 12-8: Error Analysis for SeriesThe Lagrange Error Bound have been answered, more than 8091 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• 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

• Conic section (or conic)

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

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Index of summation

See Summation notation.

• Infinite limit

A special case of a limit that does not exist.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Normal distribution

A distribution of data shaped like the normal curve.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Rigid transformation

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

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Unit circle

A circle with radius 1 centered at the origin.

• Vertical stretch or shrink

See Stretch, Shrink.

• y-intercept

A point that lies on both the graph and the y-axis.

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