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Solutions for Chapter 4.2: Area

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 4.2: Area

Solutions for Chapter 4.2
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Textbook: Calculus
Edition: 9
Author: Ron Larson, Bruce H. Edwards
ISBN: 9780547167022

This expansive textbook survival guide covers the following chapters and their solutions. Since 93 problems in chapter 4.2: Area have been answered, more than 63720 students have viewed full step-by-step solutions from this chapter. Calculus was written by and is associated to the ISBN: 9780547167022. This textbook survival guide was created for the textbook: Calculus , edition: 9. Chapter 4.2: Area includes 93 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Addition principle of probability.

    P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

  • Binomial coefficients

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

  • Division algorithm for polynomials

    Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

  • Even function

    A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

  • Exponential growth function

    Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

  • Heron’s formula

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

  • Instantaneous velocity

    The instantaneous rate of change of a position function with respect to time, p. 737.

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • Linear correlation

    A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

  • Maximum r-value

    The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

  • Midpoint (in a coordinate plane)

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

  • Modulus

    See Absolute value of a complex number.

  • Negative association

    A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

  • One-to-one function

    A function in which each element of the range corresponds to exactly one element in the domain

  • Quotient of functions

    a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

  • Replication

    The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

  • Rigid transformation

    A transformation that leaves the basic shape of a graph unchanged.

  • Rose curve

    A graph of a polar equation or r = a cos nu.

  • Spiral of Archimedes

    The graph of the polar curve.

  • Trigonometric form of a complex number

    r(cos ? + i sin ?)

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