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A.
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B.
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C.
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D.
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E.
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24. Let D be a circular disk of radius 1 in the xy-plane. If the mass density at any point in D is equal to its distance to the center, what is the total mass of D?
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A.
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B.
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C.
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D.
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E.
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Solution: The answer is C
The total mass of a region D with mass density function rho(x,y) is given by,
Using polar coordinates and the mass density function, we can rewrite and solve the above double integral as follows:
