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Let alpha = sum(k=1)^(oo) sin^(2k) (pi/...

Let `alpha = sum_(k=1)^(oo) sin^(2k) (pi/6)`
Let ` g : [0,1] to RR` be the function defined by `g(x) = 2^(ax) +2^(a(1-x))`Then, which of the following statements is/are TRUE ?

A

The minimum value of `g(x)` is `2^(7/6)`

B

The maximum value of `g(x)` is `1+ 2^(1/3)`

C

The function `g(x)` attains its maximum at more than one point

D

The function `g(x)` attains its minimum at more than one point

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