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Solutions for Chapter 5.5: The Substitution Rule

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

ISBN: 9781305270336

Solutions for Chapter 5.5: The Substitution Rule

Solutions for Chapter 5.5
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 5.5: The Substitution Rule includes 94 full step-by-step solutions. Since 94 problems in chapter 5.5: The Substitution Rule have been answered, more than 36094 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • 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

  • Convergence of a series

    A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

  • 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

  • End behavior asymptote of a rational function

    A polynomial that the function approaches as.

  • Factored form

    The left side of u(v + w) = uv + uw.

  • Finite series

    Sum of a finite number of terms.

  • Index of summation

    See Summation notation.

  • Inferential statistics

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

  • Inverse of a matrix

    The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

  • Inverse relation (of the relation R)

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

  • Multiplicative inverse of a real number

    The reciprocal of b, or 1/b, b Z 0

  • Negative linear correlation

    See Linear correlation.

  • Newton’s law of cooling

    T1t2 = Tm + 1T0 - Tm2e-kt

  • Permutations of n objects taken r at a time

    There are nPr = n!1n - r2! such permutations

  • Positive linear correlation

    See Linear correlation.

  • Solve a triangle

    To find one or more unknown sides or angles of a triangle

  • Synthetic division

    A procedure used to divide a polynomial by a linear factor, x - a

  • Vector

    An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

  • Work

    The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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