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[" Let "d in R" and "A=[[-2,4+d,(sin the...

[" Let "d in R" and "A=[[-2,4+d,(sin theta)-2],[1,(sin theta)+2,d],[5,(2sin theta)-d(-sin theta)+2+2d]],theta in[0,2 pi]." If the minimum value of "],[det(A)" is "8," then a value of "dis:,],[[" (A) "-7," (B) "2(sqrt(2)+2)," (C) "-5," (D) "2(sqrt(2)+1)]],[" The man of five obsorvations is "5" and thair variones is "0.20" .If throe of the given five abouryotions "]

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Let d in R, and A[{:(,-2,4+d,(sin theta-2)),(,1,(sin theta)+2,d),(,5,(2sin theta)d,(-sin theta)+2+2d):}]=theta in [0,2pi] If the minimum value of det(A) is B. Then the value of d is:

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int_ (0) ^ (pi / 2) ((theta) / (sin theta)) ^ (2) d theta =