Question: (* *#*) For any smooth curve in the first quadrant, and any point (@o, yo) on the curve, define two right triangles: . the basic

(* *#*) For any smooth curve in the first quadrant, and any point (@o, yo) on the curve, define two right triangles: . the basic triangle, with vertices at (co, yo). (co, 0), and (0, 0), and . the tangent triangle, with vertices at (co, yo). (20, 0), and the *-intercept of the tangent line to the curve. Find a smooth function f(@) for which the curve y = f(@) passes through the point (2, 5) and has the following property: at any point (x, y) on the graph with a > 0, the the area of the tangent triangle is 6 times the area of basic triangle. ANSWER: f (@) =
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