Q. 89
Question
For Exercises 89 and 90, suppose that Ian is a climber who is planning a path over a glacier in Canada’s Icefield Range. Glaciers are a little like gelatin: They tend to form cracks (crevasses) when their surfaces are concave down. Cracks close up and travel is easy when they are concave up, as shown in the figure.
Using a map, Ian approximates the elevation of the glacier on a line that runs up through its center as:
where both x and h(x) are measured in miles. Find the areas of the glacier where it is concave down and hence where Ian will need to move away from the center to avoid the crevasses.
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