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Solutions for Chapter 10.3: Parametric Equations and Calculus

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 10.3: Parametric Equations and Calculus

Solutions for Chapter 10.3
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Textbook: Calculus
Edition: 8
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618502981

This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. Since 100 problems in chapter 10.3: Parametric Equations and Calculus have been answered, more than 79107 students have viewed full step-by-step solutions from this chapter. Chapter 10.3: Parametric Equations and Calculus includes 100 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • 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.

  • Direction of an arrow

    The angle the arrow makes with the positive x-axis

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Exponent

    See nth power of a.

  • Graph of a function ƒ

    The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

  • Half-life

    The amount of time required for half of a radioactive substance to decay.

  • Histogram

    A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

  • Horizontal component

    See Component form of a vector.

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Logarithmic re-expression of data

    Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

  • Midpoint (in a coordinate plane)

    For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Natural logarithm

    A logarithm with base e.

  • Quadratic formula

    The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

  • Remainder theorem

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

  • Secant

    The function y = sec x.

  • Statistic

    A number that measures a quantitative variable for a sample from a population.

  • Xmin

    The x-value of the left side of the viewing window,.

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