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# Solutions for Chapter 10.4: Calculus: Early Transcendentals 1st Edition ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 10.4

Solutions for Chapter 10.4
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##### ISBN: 9780321570567

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10.4 includes 99 full step-by-step solutions. Since 99 problems in chapter 10.4 have been answered, more than 222718 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Base

See Exponential function, Logarithmic function, nth power of a.

• Cotangent

The function y = cot x

• Data

Facts collected for statistical purposes (singular form is datum)

• Dependent variable

Variable representing the range value of a function (usually y)

• Equilibrium price

See Equilibrium point.

• Extracting square roots

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

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Real zeros

Zeros of a function that are real numbers.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Transformation

A function that maps real numbers to real numbers.