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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 toA. 3B. 1C. 2D. 4 |
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Answer» Correct Answer - A `-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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