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If m and M are the minimum and the maximum values of `4+(1)/(2) sin^(2)2x-2cos^(4)x, x in R`, then M m is equal to :

A

`(9)/(4)`

B

`(15)/(4)`

C

`(7)/(4)`

D

`(1)/(4)`

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The correct Answer is:
a
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