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GATE Mathematics 2014 Paper

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Question : 46

Total: 55

Let g:R3→R3 be defined by
g(x,y,z)=(3y+4z,2x−3z,x+3y) and
let

S={(x,y,z)∈R3:0≤x≤1,0≤y≤1,0≤z≤1}.

(2x+y−2z)dx‌dy‌dz =α‌

z‌dx‌dy‌dz, then α is ____________

73.99 to 74.01
74.99 to 75.01
75.99 to 76.01
72.99 to 73.01

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