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A tiger is 40 ft directly south of a herd of elephants. The tiger starts to slink towards the elephants at a rate of 3 ft/sec, 4 seconds after the tiger starts his path towards the elephants, one elephant bolts directly east at a rate of 7 ft/sec. How fast is the distance between the tiger and the bolting elephant changing 4 seconds after the elephant leaves the herd, assuming the tiger continues on his path towards the herd? **PLEASE EXPLAIN HOW TO DO IT USING OPTIMIZATION!!!

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