Question: Consider the curve defined parametrically by x = at^2 + bt and y = ct^3 + dt^2 + et, where a, b, c, d, e

Consider the curve defined parametrically by x = at^2 + bt and y = ct^3 + dt^2 + et, where a, b, c, d, e are all constants. Give one example of what each of the constants a, b, c, d, e could equal so that your curve has exactly one vertical tangent line and no horizontal tangent lines.

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