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to make a conjecture about the tangent lines and

To make a conjecture about the tangent lines and the graph with the proof of the conjecture.

Conjecture consider the functions f(x) = ½ x² and g(x) = 1/16 x4 - ½ x2 on the domain [0,4].

Make a conjecture about the relationship between tangent lines to the graphs of two functions at the value of x at which the vertical distance between the functions is greatest, and prove your conjecture.

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