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# Solutions for Chapter 11.5: Lines and Planes in Space ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 11.5: Lines and Planes in Space

Solutions for Chapter 11.5
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 114 problems in chapter 11.5: Lines and Planes in Space have been answered, more than 43885 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.5: Lines and Planes in Space includes 114 full step-by-step solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770.

Key Calculus Terms and definitions covered in this textbook
• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Differentiable at x = a

ƒ'(a) exists

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Negative angle

Angle generated by clockwise rotation.

• Negative linear correlation

See Linear correlation.

• Order of magnitude (of n)

log n.

The graph in three dimensions of a seconddegree equation in three variables.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Venn diagram

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

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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