Question: Find all a and b such that the two curves given by intersect at only one point and have a common tangent line and equal

Find all a and b such that the two curves given by

y = ax(bx) and X x + 2

intersect at only one point and have a common tangent line and equal curvature at that point. Sketch a graph for each set of values of a and b.

y = ax(bx) and X x + 2

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