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Solutions for Chapter 3.1: Calculus: Early Transcendentals 1st Edition

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Solutions for Chapter 3.1

Solutions for Chapter 3.1
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since 37 problems in chapter 3.1 have been answered, more than 83369 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 3.1 includes 37 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Ambiguous case

    The case in which two sides and a nonincluded angle can determine two different triangles

  • Associative properties

    a + (b + c) = (a + b) + c, a(bc) = (ab)c.

  • Basic logistic function

    The function ƒ(x) = 1 / 1 + e-x

  • Bounded below

    A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • Focal length of a parabola

    The directed distance from the vertex to the focus.

  • Grapher or graphing utility

    Graphing calculator or a computer with graphing software.

  • Imaginary part of a complex number

    See Complex number.

  • Increasing on an interval

    A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

  • Intercepted arc

    Arc of a circle between the initial side and terminal side of a central angle.

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Line of travel

    The path along which an object travels

  • 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

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Normal distribution

    A distribution of data shaped like the normal curve.

  • nth root of unity

    A complex number v such that vn = 1

  • Parameter

    See Parametric equations.

  • Quadratic equation in x

    An equation that can be written in the form ax 2 + bx + c = 01a ? 02

  • Row echelon form

    A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

  • Sum of complex numbers

    (a + bi) + (c + di) = (a + c) + (b + d)i

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