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Let `f_k(x) = 1/k(sin^k x + cos^k x)` where `x in RR` and `k gt= 1.` Then `f_4(x) - f_6(x)` equals

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Let `f_k(x) = 1/k(sin^k x + cos^k x)` where `x in RR` and `k gt= 1.` Then `f_4(x) - f_6(x)` equals
A. `(1)/(6)`
B. `(1)/(3)`
C. `(1)/(4)`
D. `(1)/(12)`
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Correct Answer - D
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