×

×

# Solutions for Chapter 1: Functions

## Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition

ISBN: 9780321588760

Solutions for Chapter 1: Functions

Solutions for Chapter 1
4 5 0 404 Reviews
13
2
##### ISBN: 9780321588760

This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. This expansive textbook survival guide covers the following chapters and their solutions. Since 84 problems in chapter 1: Functions have been answered, more than 32975 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760. Chapter 1: Functions includes 84 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook

If u = v and w = z , then u + w = v + z

• Angular speed

Speed of rotation, typically measured in radians or revolutions per unit time

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• 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

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• 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,

• Real part of a complex number

See Complex number.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Solution set of an inequality

The set of all solutions of an inequality

• Speed

The magnitude of the velocity vector, given by distance/time.

• 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