Let t be a negative real number and D be the part bounded by the curve y\equal{}2^{2x\plus{}2t}, the curve y\equal{}2^{x\plus{}3t} and the y axis.
(1) Find the volume V(t) generated by rotation of D about the x axis.
(2) When t moves in the range of negative real number, find the maximum value of V(t). calculusintegrationgeometrygeometric transformationrotationcalculus computations