×
×

# Solutions for Chapter 12.3: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 12.3

Solutions for Chapter 12.3
4 5 0 367 Reviews
22
0
##### ISBN: 9780321717399

Since 22 problems in chapter 12.3 have been answered, more than 62038 students have viewed full step-by-step solutions from this chapter. Chapter 12.3 includes 22 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Axis of symmetry

See Line of symmetry.

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Distance (in Cartesian space)

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

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Identity

An equation that is always true throughout its domain.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Law of sines

sin A a = sin B b = sin C c

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Probability distribution

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

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Vertex of a cone

See Right circular cone.

• Vertical translation

A shift of a graph up or down.

• xy-plane

The points x, y, 0 in Cartesian space.

×