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# Solutions for Chapter 11.3: DOT PRODUCT; PROJECTIONS

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 11.3: DOT PRODUCT; PROJECTIONS

Solutions for Chapter 11.3
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##### ISBN: 9780470647691

Since 51 problems in chapter 11.3: DOT PRODUCT; PROJECTIONS have been answered, more than 38221 students have viewed full step-by-step solutions from this chapter. Chapter 11.3: DOT PRODUCT; PROJECTIONS includes 51 full step-by-step solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10.

Key Calculus Terms and definitions covered in this textbook
• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Combinations of n objects taken r at a time

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

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Dependent variable

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

• Determinant

A number that is associated with a square matrix

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Exponential regression

A procedure for fitting an exponential function to a set of data.

• Imaginary axis

See Complex plane.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Inverse secant function

The function y = sec-1 x

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Stretch of factor c

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

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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