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Solutions for Chapter 12: Vector-Valued Functions

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Full solutions for Calculus | 9th Edition

ISBN: 9780547167022

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Solutions for Chapter 12: Vector-Valued Functions

Solutions for Chapter 12
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Textbook: Calculus
Edition: 9
Author: Ron Larson, Bruce H. Edwards
ISBN: 9780547167022

Calculus was written by and is associated to the ISBN: 9780547167022. This expansive textbook survival guide covers the following chapters and their solutions. Since 78 problems in chapter 12: Vector-Valued Functions have been answered, more than 46650 students have viewed full step-by-step solutions from this chapter. Chapter 12: Vector-Valued Functions includes 78 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9.

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.

  • Anchor

    See Mathematical induction.

  • Binomial coefficients

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • End behavior asymptote of a rational function

    A polynomial that the function approaches as.

  • Heron’s formula

    The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

  • Inferential statistics

    Using the science of statistics to make inferences about the parameters in a population from a sample.

  • Linear equation in x

    An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • 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)

  • n factorial

    For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

  • n-set

    A set of n objects.

  • Quadratic regression

    A procedure for fitting a quadratic function to a set of data.

  • Quotient identities

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

  • Rational zeros theorem

    A procedure for finding the possible rational zeros of a polynomial.

  • Remainder theorem

    If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

  • Richter scale

    A logarithmic scale used in measuring the intensity of an earthquake.

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Solution of a system in two variables

    An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

  • Unit vector

    Vector of length 1.

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