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Hiking and Climbing in Yosemite

Part 4: Summary

  1. When you see a lake on a contour map, where would you look for a contour at the altitude of the lake?

  2. What features on a topographical map indicate
    3. What would the directional derivatives be at each of these locations? The gradient?

  3. What features on a topographical map indicate a cliff? How would you describe the directional derivatives at the middle of the cliff? The gradient?

  4. Explain in words the relationship between the gradient and the path of steepest ascent. Give an example in another context -- not hiking in Yosemite.

  5. Explain in words the relationship between the gradient and the path of steepest descent. Give an example in another context -- not hiking in Yosemite.

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