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Let y=f(x) be the solution of the differential equation (dy)/(dx)+k/7 x tan x=1+xtanx-sinx, where f(0)=1 and let k be the minimum value of g(x) where g(x)="max"|(sqrt(193)-1)/2cosy+cos(y+(pi)/3)-x| where yepsilonR then Number of solution of the equation f(x)=2^(x)-x^(2)+x+cosx is equal to

Answer»

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Solution :`-7 LE ((sqrt(193)-1))/2 cosy+cos(y+(pi)/3) le 7`
So, `g(x)={(|x+7|, ,, XGE0),(|x-7|, ,, xlt0):}`
So, `g(x)_("min")=7`
So, `F(x)=x+cosx`s


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