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Solutions for Chapter 12.4: Tangent Vectors and Normal Vectors

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

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

ISBN: 9781285774770

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Solutions for Chapter 12.4: Tangent Vectors and Normal Vectors

Solutions for Chapter 12.4
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Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
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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