**Question: **AIR TEMPERATURE The air temperature at a height of h ft from the surface of the earth is T = f(h) degrees Fahrenheit.

a. Give a physical interpretation of f ‘(h). Give units.

b. Generally speaking, what do you expect the sign of f'(h) to be?

c. If you know that f‘(1000) = -0.05, estimate the change in the air temperature if the altitude changes from 1000 ft to 1001 ft.

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