Let \( f(x) \) be a continuous function satisfying \( f^{3}(x)-5 f^... VIDEO
Let \( f(x) \) be a continuous function satisfying \( f^{3}(x)-5 f^{2}(x)+10 f(x)-12 \leq 0 \), \( f^{2}(x)-4 f(x)+3 \geq 0 \) and \( f^{2}(x)-6 f(x)+8 \leq 0 \) and \( A \) is the area bounded by the line \( y=x, y=f(x) \) and \( x=0 \). Find the value of \( 10 A \).
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