×

×

# Solutions for Chapter 1.3: New Functions from Old Functions

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

ISBN: 9781305270336

Solutions for Chapter 1.3: New Functions from Old Functions

Solutions for Chapter 1.3
4 5 0 292 Reviews
18
5
##### ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 66 problems in chapter 1.3: New Functions from Old Functions have been answered, more than 96183 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.3: New Functions from Old Functions includes 66 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Cosecant

The function y = csc x

• Difference identity

An identity involving a trigonometric function of u - v

• Elements of a matrix

See Matrix element.

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Graph of parametric equations

The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

• Hyperboloid of revolution

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

• Identity function

The function ƒ(x) = x.

• Inverse cosine function

The function y = cos-1 x

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Obtuse triangle

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

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• 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

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Wrapping function

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

• Ymin

The y-value of the bottom of the viewing window.