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# Solutions for Chapter 12: VECTORS AND THE GEOMETRY OF SPACE ## Full solutions for Calculus: Early Transcendentals | 6th Edition

ISBN: 9780495011668 Solutions for Chapter 12: VECTORS AND THE GEOMETRY OF SPACE

Solutions for Chapter 12
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##### ISBN: 9780495011668

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 6. Since 439 problems in chapter 12: VECTORS AND THE GEOMETRY OF SPACE have been answered, more than 18941 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780495011668. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 12: VECTORS AND THE GEOMETRY OF SPACE includes 439 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial

A polynomial with exactly two terms

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Branches

The two separate curves that make up a hyperbola

• Convenience sample

A sample that sacrifices randomness for convenience

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Equivalent systems of equations

Systems of equations that have the same solution.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Index of summation

See Summation notation.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

A procedure for fitting a quadratic function to a set of data.

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Transformation

A function that maps real numbers to real numbers.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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