# Just blow it away.

Calculus Level 5

Let $$y=f(x)$$ be a curve passing through $$(4,3)$$ such that slope of normal at any point lying in the first quadrant is negative and the normal and tangent at any point P cuts the $$Y-axis$$ at $$A$$ & $$B$$ respectively such that the midpoint of $$AB$$ is origin, then find the area enclosed by the curves $$y = f(x),~y=|4.25-|x||~ \& ~ y=4.25-|2.125x|$$

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