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Solutions for Chapter 1.4: Calculus: Early Transcendentals 2nd Edition

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Full solutions for Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321947345

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Solutions for Chapter 1.4

Solutions for Chapter 1.4
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Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter 1.4 includes 109 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 109 problems in chapter 1.4 have been answered, more than 56693 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2.

Key Calculus Terms and definitions covered in this textbook
  • Circular functions

    Trigonometric functions when applied to real numbers are circular functions

  • Complex fraction

    See Compound fraction.

  • 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)

  • Compounded monthly

    See Compounded k times per year.

  • Differentiable at x = a

    ƒ'(a) exists

  • Divisor of a polynomial

    See Division algorithm for polynomials.

  • Inverse properties

    a + 1-a2 = 0, a # 1a

  • Multiplication principle of counting

    A principle used to find the number of ways an event can occur.

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Nautical mile

    Length of 1 minute of arc along the Earth’s equator.

  • Piecewise-defined function

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

  • Point-slope form (of a line)

    y - y1 = m1x - x 12.

  • Polynomial in x

    An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Quadratic formula

    The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

  • Quadric surface

    The graph in three dimensions of a seconddegree equation in three variables.

  • Range (in statistics)

    The difference between the greatest and least values in a data set.

  • Re-expression of data

    A transformation of a data set.

  • Tangent line of ƒ at x = a

    The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

  • y-axis

    Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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