Question: (a)Find the region E for which the triple integral is a maximum.E(1 x27y28z2) dVE =(x, y, z)| x2+7y2+8z21E =(x, y, z)|x2+7y28z21E =(x, y, z)|1 x

(a)Find the region E for which the triple integral is a maximum.E(1 x27y28z2) dVE =(x, y, z)| x2+7y2+8z21E =(x, y, z)|x2+7y28z21E =(x, y, z)|1 x 1,17 y 17,18 z 18E =(x, y, z)|1 x 1,7 y 7,8 z 8E =(x, y, z)| x2+7y2+8z21(b)Use a computer algebra system to calculate the exact maximum value of the triple integral in part (a).

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