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# Solutions for Chapter 13.1: Vector Functions

## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Solutions for Chapter 13.1: Vector Functions

Solutions for Chapter 13.1
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##### ISBN: 9780538497909

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13.1: Vector Functions includes 51 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 51 problems in chapter 13.1: Vector Functions have been answered, more than 31325 students have viewed full step-by-step solutions from this chapter.

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

• Dependent event

An event whose probability depends on another event already occurring

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Hypotenuse

Side opposite the right angle in a right triangle.

• kth term of a sequence

The kth expression in the sequence

See Polynomial function in x

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Octants

The eight regions of space determined by the coordinate planes.

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Outcomes

The various possible results of an experiment.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Translation

See Horizontal translation, Vertical translation.

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

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