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Solutions for Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES

Multivariable Calculus, | 7th Edition | ISBN: 9780538497879 | Authors: James Stewart

Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Multivariable Calculus, | 7th Edition | ISBN: 9780538497879 | Authors: James Stewart

Solutions for Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES includes 18 full step-by-step solutions. Since 18 problems in chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES have been answered, more than 21950 students have viewed full step-by-step solutions from this chapter. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
  • Arc length formula

    The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

  • 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)

  • Continuous at x = a

    lim x:a x a ƒ(x) = ƒ(a)

  • equation of a hyperbola

    (x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

  • equation of an ellipse

    (x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

  • Factored form

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

  • Focal length of a parabola

    The directed distance from the vertex to the focus.

  • Future value of an annuity

    The net amount of money returned from an annuity.

  • Horizontal translation

    A shift of a graph to the left or right.

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • Inverse composition rule

    The composition of a one-toone function with its inverse results in the identity function.

  • Linear regression equation

    Equation of a linear regression line

  • Major axis

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

  • Point-slope form (of a line)

    y - y1 = m1x - x 12.

  • Positive linear correlation

    See Linear correlation.

  • Principle of mathematical induction

    A principle related to mathematical induction.

  • Product rule of logarithms

    ogb 1RS2 = logb R + logb S, R > 0, S > 0,

  • Rose curve

    A graph of a polar equation or r = a cos nu.

  • 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.

  • Unit vector

    Vector of length 1.

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