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Solutions for Chapter 3: 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 3

Solutions for Chapter 3
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Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter 3 includes 74 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 74 problems in chapter 3 have been answered, more than 49150 students have viewed full step-by-step solutions from this chapter.

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.

  • Completing the square

    A method of adding a constant to an expression in order to form a perfect square

  • Components of a vector

    See Component form of a vector.

  • Convenience sample

    A sample that sacrifices randomness for convenience

  • Coordinate plane

    See Cartesian coordinate system.

  • Degree of a polynomial (function)

    The largest exponent on the variable in any of the terms of the polynomial (function)

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Divergence

    A sequence or series diverges if it does not converge

  • Gaussian elimination

    A method of solving a system of n linear equations in n unknowns.

  • Linear function

    A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

  • Local extremum

    A local maximum or a local minimum

  • Number line graph of a linear inequality

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

  • One-to-one function

    A function in which each element of the range corresponds to exactly one element in the domain

  • Parametric equations for a line in space

    The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

  • Permutations of n objects taken r at a time

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

  • Radian

    The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

  • Reflection across the x-axis

    x, y and (x,-y) are reflections of each other across the x-axis.

  • Solve algebraically

    Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

  • Standard position (angle)

    An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

  • Stretch of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

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