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Solutions for Chapter 5.1: Areas and Distances

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

ISBN: 9781305270336

Solutions for Chapter 5.1: Areas and Distances

Solutions for Chapter 5.1
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Since 32 problems in chapter 5.1: Areas and Distances have been answered, more than 38177 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Areas and Distances includes 32 full step-by-step solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336.

Key Calculus Terms and definitions covered in this textbook
  • Absolute minimum

    A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • 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

  • Equation

    A statement of equality between two expressions.

  • Fibonacci numbers

    The terms of the Fibonacci sequence.

  • Half-angle identity

    Identity involving a trigonometric function of u/2.

  • 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

  • Linear regression equation

    Equation of a linear regression line

  • Logarithmic function with base b

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

  • Major axis

    The line segment through the foci of an ellipse with endpoints on the ellipse

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Perpendicular lines

    Two lines that are at right angles to each other

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Quotient of functions

    a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Solve a triangle

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

  • Trichotomy property

    For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

  • Trigonometric form of a complex number

    r(cos ? + i sin ?)

  • Unit circle

    A circle with radius 1 centered at the origin.

  • Zero matrix

    A matrix consisting entirely of zeros.

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