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# Solutions for Chapter 12: VECTORS AND THE GEOMETRY OF SPACE ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 12: VECTORS AND THE GEOMETRY OF SPACE

Solutions for Chapter 12
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##### ISBN: 9780538497879

This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Chapter 12: VECTORS AND THE GEOMETRY OF SPACE includes 37 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 37 problems in chapter 12: VECTORS AND THE GEOMETRY OF SPACE have been answered, more than 22587 students have viewed full step-by-step solutions from this chapter. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Demand curve

p = g(x), where x represents demand and p represents price

• Dihedral angle

An angle formed by two intersecting planes,

• Domain of a function

The set of all input values for a function

• Double-angle identity

An identity involving a trigonometric function of 2u

• Elements of a matrix

See Matrix element.

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Range screen

See Viewing window.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

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

• Terminal side of an angle

See Angle.

• Xmax

The x-value of the right side of the viewing window,.

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