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 19892 students have viewed full step-by-step solutions from this chapter.

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.

  • Compound interest

    Interest that becomes part of the investment

  • Coterminal angles

    Two angles having the same initial side and the same terminal side

  • Derivative of ƒ at x a

    ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

  • Hyperbola

    A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

  • Implied domain

    The domain of a function’s algebraic expression.

  • Index

    See Radical.

  • 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

  • Measure of center

    A measure of the typical, middle, or average value for a data set

  • Negative linear correlation

    See Linear correlation.

  • Number line graph of a linear inequality

    The graph of the solutions of a linear inequality (in x) on a number line

  • Opens upward or downward

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

  • Pole

    See Polar coordinate system.

  • Polynomial function

    A function in which ƒ(x)is a polynomial in x, p. 158.

  • Radian measure

    The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

  • Repeated zeros

    Zeros of multiplicity ? 2 (see Multiplicity).

  • Symmetric about the origin

    A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

  • Unit vector in the direction of a vector

    A unit vector that has the same direction as the given vector.

  • Vertex form for a quadratic function

    ƒ(x) = a(x - h)2 + k

  • Vertical stretch or shrink

    See Stretch, Shrink.

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