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A point of notation:
'#' is the beginning of a comment, we will use comments to note down thoughts and tricks at each stage of the problem
A) let f(x) denote the differential of F(x)
F(x)=...

300 - 0.03= 299.97

so, let's split the fraction up, into the top half and the bottom half, and deal with each part at a time. The top part of the fraction (numerator) is a^2 +a -6 , and you can see that it is a quadratic eq...