×
×

# Solutions for Chapter 16: Calculus: Early Transcendentals 8th Edition

## Full solutions for Calculus: Early Transcendentals | 8th Edition

ISBN: 9781285741550

Solutions for Chapter 16

Solutions for Chapter 16
4 5 0 301 Reviews
27
4
##### ISBN: 9781285741550

Chapter 16 includes 41 full step-by-step solutions. Since 41 problems in chapter 16 have been answered, more than 7994 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 8. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781285741550.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Division

a b = aa 1 b b, b Z 0

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Independent variable

Variable representing the domain value of a function (usually x).

• Matrix element

Any of the real numbers in a matrix

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Numerical model

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

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Real part of a complex number

See Complex number.

• Reciprocal function

The function ƒ(x) = 1x

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Remainder polynomial

See Division algorithm for polynomials.

• Second

Angle measure equal to 1/60 of a minute.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Vertical line test

A test for determining whether a graph is a function.

• Wrapping function

The function that associates points on the unit circle with points on the real number line

×