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# Solutions for Chapter 4.5: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 4.5

Solutions for Chapter 4.5
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##### ISBN: 9780321717399

Chapter 4.5 includes 89 full step-by-step solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. Since 89 problems in chapter 4.5 have been answered, more than 58364 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Arcsecant function

See Inverse secant function.

• Commutative properties

a + b = b + a ab = ba

• Cosine

The function y = cos x

• Direction vector for a line

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

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Irrational numbers

Real numbers that are not rational, p. 2.

• Local extremum

A local maximum or a local minimum

• Positive angle

Angle generated by a counterclockwise rotation.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Probability distribution

The collection of probabilities of outcomes in a sample space assigned by a probability function.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Weights

See Weighted mean.

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