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Let f be a positive continuous function ...

Let f be a positive continuous function on the interval [-2,3] and A(t) is the area of the region by the graph of `y = f(x)` and the lines `y=0, x=-2, and x= t` where t e (-2,3) If `lim_(t->3^-) (A(3)-A(t))/(3-t)` is equal to 100 then the value of f(3) equals

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