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Solutions for Chapter 12: Vectors and the Geometry of Space

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 12: Vectors and the Geometry of Space

Solutions for Chapter 12
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

Since 76 problems in chapter 12: Vectors and the Geometry of Space have been answered, more than 8172 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. Chapter 12: Vectors and the Geometry of Space includes 76 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Absolute maximum

    A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

  • Bounded above

    A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

  • Circular functions

    Trigonometric functions when applied to real numbers are circular functions

  • Combinatorics

    A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

  • Cosecant

    The function y = csc x

  • Direction vector for a line

    A vector in the direction of a line in three-dimensional space

  • Higher-degree polynomial function

    A polynomial function whose degree is ? 3

  • Infinite limit

    A special case of a limit that does not exist.

  • Interval notation

    Notation used to specify intervals, pp. 4, 5.

  • Midpoint (on a number line)

    For the line segment with endpoints a and b, a + b2

  • Multiplication principle of probability

    If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

  • Normal distribution

    A distribution of data shaped like the normal curve.

  • Polar coordinate system

    A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

  • Power-reducing identity

    A trigonometric identity that reduces the power to which the trigonometric functions are raised.

  • Quadrantal angle

    An angle in standard position whose terminal side lies on an axis.

  • Quotient identities

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

  • Rectangular coordinate system

    See Cartesian coordinate system.

  • Tangent

    The function y = tan x

  • Trichotomy property

    For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

  • Variation

    See Power function.

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