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# Solutions for Chapter 12.4: Tangent Vectors and Normal Vectors

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 12.4: Tangent Vectors and Normal Vectors

Solutions for Chapter 12.4
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##### ISBN: 9781285774770

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter 12.4: Tangent Vectors and Normal Vectors includes 80 full step-by-step solutions. Since 80 problems in chapter 12.4: Tangent Vectors and Normal Vectors have been answered, more than 45545 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Bounded interval

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

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Hypotenuse

Side opposite the right angle in a right triangle.

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• nth root

See Principal nth root

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Quartic function

A degree 4 polynomial function.

• Real axis

See Complex plane.

• Reflection

Two points that are symmetric with respect to a lineor a point.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Series

A finite or infinite sum of terms.

• Slant line

A line that is neither horizontal nor vertical

• Spiral of Archimedes

The graph of the polar curve.

• 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.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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