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# Solutions for Chapter 11: THREE-DIMENSIONAL SPACE; VECTORS ## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691 Solutions for Chapter 11: THREE-DIMENSIONAL SPACE; VECTORS

Solutions for Chapter 11
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##### ISBN: 9780470647691

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 32 problems in chapter 11: THREE-DIMENSIONAL SPACE; VECTORS have been answered, more than 38031 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 11: THREE-DIMENSIONAL SPACE; VECTORS includes 32 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Central angle

An angle whose vertex is the center of a circle

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Dependent variable

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

• Direct variation

See Power function.

• Distance (in a coordinate plane)

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

• 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

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Initial side of an angle

See Angle.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Obtuse triangle

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

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Ymin

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

• Zero matrix

A matrix consisting entirely of zeros.

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