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Today's calculation of Integral 157

Source: Tokyo University entrance exam/Humanities 1988

October 2, 2006
calculusintegrationalgebrafunctiondomaincalculus computations

Problem Statement

Find the volume of the solid expressed by the following six inequaities in xyzxyz space. x≥0, y≥0, z≥0, x+y+z≤3, x+2z≤4, y−z≤1.x\geq 0,\ y\geq 0,\ z\geq 0,\ x+y+z\leq 3,\ x+2z\leq 4,\ y-z\leq 1.
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