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    Order of Integration and Area Between Curves

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    Please see the attached file for the full problem description
    1. Consider the double integral (please see the attached file)
    (a) Sketch the region of integration
    (b) Write down the integral with reversed order of integration.

    2. Find the area of the region bounded by the following curves (please see the attached file)
    Sketch the region (and shade it).

    3. Find the total electric change Q of the charged plate bounded by the curves.
    (please see the attached file)
    If the charge density is described by a formula (please see the attached file),
    Sketch the plate (and shade it).

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    Solution Preview

    Please see the attached file for the complete solution.

    Area for first integral:
    (please see the attached ...

    Solution Summary

    This solution includes questions on the change of the order of integration and finding the area between curves. it provides the solution in a three page document including sketches.