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    The area of the region bounded by two curves

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    Part a. Graph the region bounded by y = 12 - x^2 and y = -x

    Part b: Give a formula in terms of x-integral(s) for the area of this region. Do not compute the area.
    Part c: Give a formula in terms of y-integral(s) for the area of this region. Do not compute the area.

    © BrainMass Inc. brainmass.com December 24, 2021, 7:18 pm ad1c9bdddf
    https://brainmass.com/math/integrals/area-region-bounded-two-curves-178126

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    SOLUTION This solution is FREE courtesy of BrainMass!

    Please see the attached file for graph and formulas

    6. Show all of your work on the answer sheet provided. Make sure you read this problem carefully!
    Part a: Graph the region bounded by

    and

    Part b: Give a formula in terms of x-integral(s) for the area of this region. Do not compute the area.
    The intersection is at x= -3 and x = 4, therefore, the area is

    Part c: Give a formula in terms of y-integral(s) for the area of this region. Do not compute the area.
    We separate the total region to two parts A and B.
    when , the left-half of the parabola is
    The right-half of the parabola is
    Then the area of region A is

    When , the area of region B is

    The total area of the region bounded by the parabola and the line is

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:18 pm ad1c9bdddf>
    https://brainmass.com/math/integrals/area-region-bounded-two-curves-178126

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