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8. (Recall from the study guide: If f has a local max/min at a point P on a curve Car(t), then Vf 1 C at

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8. (Recall from the study guide: If f has a local max/min at a point P on a curve Car(t), then Vf 1 C at P, Vf . r' = 0, and we set Vf = AVg to find these points). Suppose you want to find the coldest and hottest points on a surface. If you are given a temperature function and a function for the surface, you can solve for the points analytically (using techniques we've learned). However, you can also find the points visually. So suppose you graph the level curves of the temperature function and also graph the boundary of the surface in the xy-plane. Describe where the max/min of the temperature on the boundary of the surface can be located visually

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