Suppose that a thin metal wire in the shape of a semicircle occuples the curve $C$ , where $C$ is the top half of the circle $x^{2} + y^{2} = 9$ . The mass density of the wire is described by the function $? (x, y) = x^{4} y$ . Find the total mass of the wire.

Question

Suppose that a thin metal wire in the shape of a semicircle occuples the curve

C

, where

C

is the top half of the circle

x^{2} + y^{2} = 9

. The mass density of the wire is described by the function

? (x, y) = x^{4} y

. Find the total mass of the wire.

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