Suppose you are walking through the region of New York state shown in the topographical map in
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Suppose you are walking through the region of New York state shown in the topographical map in Figure 11 in the first section of this chapter. Assume you are heading north, toward the top of the map, over the western side of the mountain at the left, but not directly over the peak. Explain why you reach your highest point when you are going in the same direction as a contour line. Explain how this relates to Lagrange multipliers.
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