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# Solutions for Chapter 12.5: EQUATIONS OF LINES AND PLANES ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 12.5: EQUATIONS OF LINES AND PLANES

Solutions for Chapter 12.5
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##### ISBN: 9780538497879

Since 82 problems in chapter 12.5: EQUATIONS OF LINES AND PLANES have been answered, more than 16143 students have viewed full step-by-step solutions from this chapter. Chapter 12.5: EQUATIONS OF LINES AND PLANES includes 82 full step-by-step solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Compound interest

Interest that becomes part of the investment

• Conversion factor

A ratio equal to 1, used for unit conversion

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Horizontal line

y = b.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Intercepted arc

Arc of a circle between the initial side and terminal side of a central angle.

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Order of an m x n matrix

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

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Partial sums

See Sequence of partial sums.

• Real zeros

Zeros of a function that are real numbers.

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Solve a system

To find all solutions of a system.

• Unbounded interval

An interval that extends to -? or ? (or both).

• Union of two sets A and B

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

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Venn diagram

A visualization of the relationships among events within a sample space.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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