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Solutions for Chapter 6.1: Areas Between Curves

Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 6.1: Areas Between Curves

Solutions for Chapter 6.1
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 61 problems in chapter 6.1: Areas Between Curves have been answered, more than 42661 students have viewed full step-by-step solutions from this chapter. Chapter 6.1: Areas Between Curves includes 61 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Boundary

    The set of points on the “edge” of a region

  • Cardioid

    A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Imaginary unit

    The complex number.

  • Infinite limit

    A special case of a limit that does not exist.

  • Integers

    The numbers . . ., -3, -2, -1, 0,1,2,...2

  • Inverse relation (of the relation R)

    A relation that consists of all ordered pairs b, a for which a, b belongs to R.

  • Line of travel

    The path along which an object travels

  • Linear inequality in two variables x and y

    An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

  • Opens upward or downward

    A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

  • 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.

  • Quantitative variable

    A variable (in statistics) that takes on numerical values for a characteristic being measured.

  • Replication

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

  • Solve a system

    To find all solutions of a system.

  • Standard form of a polynomial function

    ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

  • Standard form: equation of a circle

    (x - h)2 + (y - k2) = r 2

  • Sum of a finite geometric series

    Sn = a111 - r n 2 1 - r

  • Sum of functions

    (ƒ + g)(x) = ƒ(x) + g(x)

  • Transpose of a matrix

    The matrix AT obtained by interchanging the rows and columns of A.

  • Zero factorial

    See n factorial.

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