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If f(x) = 2(7 cos x + 24 sinx ) (7 sin x...

If `f(x) = 2(7 cos x + 24 sinx ) (7 sin x-24 cos x)`, for every `x inR`, then maximum value of `(f(x) )^(1//4)` is _________

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Knowledge Check

  • The maximum value of f(x)=(x)/(1+4x+x^(2)) is

    A
    `-(1)/(4)`
    B
    `-(1)/(3)`
    C
    `(1)/(6)`
    D
    `(1)/(5)`

  • The maximum value of 7 cos x- 24 sin x is

    A
    21
    B
    22
    C
    25
    D
    26

  • f (x) = 10 cos x + (13 + 2x) sin x implies f''(x) + f(x) =

    A
    `cos x`
    B
    ` 4 cos x`
    C
    `sin x `
    D
    `4 sin x `

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