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Solutions for Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS

Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition | ISBN: 9780495559726 | Authors: James Stewart

Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726

Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition | ISBN: 9780495559726 | Authors: James Stewart

Solutions for Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS

Since 15 problems in chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS have been answered, more than 22697 students have viewed full step-by-step solutions from this chapter. Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS includes 15 full step-by-step solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This expansive textbook survival guide covers the following chapters and their solutions.

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.

  • Absolute value of a complex number

    The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

  • Arctangent function

    See Inverse tangent function.

  • 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

  • Continuous at x = a

    lim x:a x a ƒ(x) = ƒ(a)

  • Directed distance

    See Polar coordinates.

  • Division algorithm for polynomials

    Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

  • Elimination method

    A method of solving a system of linear equations

  • Even function

    A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

  • Expanded form

    The right side of u(v + w) = uv + uw.

  • Fibonacci numbers

    The terms of the Fibonacci sequence.

  • Geometric series

    A series whose terms form a geometric sequence.

  • Horizontal component

    See Component form of a vector.

  • Implicitly defined function

    A function that is a subset of a relation defined by an equation in x and y.

  • Inverse tangent function

    The function y = tan-1 x

  • Permutations of n objects taken r at a time

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

  • Quadratic formula

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

  • Rational function

    Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

  • Simple harmonic motion

    Motion described by d = a sin wt or d = a cos wt

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.