Let `f (x)` be a continuous function (define for all x) which satisfies `f ^(3) (x)-5 f ^(2) (x)+ 10f (x) -12 ge 0, f ^(2) (x) + 3 ge 0 and f ^(2) (x) -5f(x)+ 6 le 0`
The equation of tangent that can be drawn from `(2,0)` on the curve `y = x^(2) f (sin x)` is :

Let f (x) be a continuous function (define for all x) which satisfies f ^(3) (x)-5 f ^(2) (x)+ 10f (x) -12 ge 0, f ^(2) (x) + 3 ge 0 and f ^(2) (x) -5f(x)+ 6 le 0 If distinct positive number b_(1), b _(2) and b _(3) ar in G.P. then f (1)+ ln b _91), f (2) + ln b _(2), f (3)+ ln b _(3) are in :

Let f(x) be a continuous function defined from [0,2]rarr R and satisfying the equation int_(0)^(2)f(x)(x-f(x))dx=(2)/(3) then the value of 2f(1)

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