Question: Consider the function f and region E.f(x, y, z)= y, E ={(x, y, z)|1 x2+ z29,0 y 1 x2 z2}(a)Express the region E in cylindrical

Consider the function f and region E.f(x, y, z)= y, E ={(x, y, z)|1 x2+ z29,0 y 1 x2 z2}(a)Express the region E in cylindrical coordinates.E ={(r,, z)|1 r 3,02,0 z 1 r}E ={(r,, z)|1 r 3,02,0 z 1 r2}E ={(r,, z)|1 r 9,02,0 z 1 r2}E ={(r,, z)|1 r 3,0,0 z 1 r2}E ={(r,, z)|1 r 9,0,0 z 1 r}Express the function f in cylindrical coordinates.f(r,, z)=(b)Convert the integralEf(x, y, z) dVinto cylindrical coordinates and evaluate it.

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