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Let f\ :(0,oo)\ R\ be a continuous, ...

Let `f\ :(0,oo)\ R\ ` be a continuous, strictly increasing function such that `f^3(x)=int_0^x t\ f^2(t)dtdot` If a normal is drawn to the curve `y\ =\ f(x)` with gradient `(-1)/2\ ,` then find the intercept made by it on the y-axis is 5 (b) 7 (c) 9 (d) 11

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