1. C is a smooth wire with coordinate functions x=sin(t),y=cos(t),
and z=1 for 0≦t≦π/2. The density function along the wire is
ψ(x,y)=xy(g/cm). Evaluate the mass of the wire.
2. Use polar coordinate to determine the volume of the solid that
2 2 2
is under the hemispere x +y +z =1 and above the region R bounded
2 2
by the circle x +y =y. (Note: Use the symmetry of the circle to
the volume of the solid.)
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