The atmospheric pressure at an altitude of x kilometers is f (x) g/cm² (grams per square centimeter), where f(x) = 1035e^-0.12x. Give approximate answers to the following questions using the graphs of f (x) and f′(x) shown in Fig. 2.

(a) What is the pressure at an altitude of 2 kilometers?

(b) At what altitude is the pressure 200 g/cm²?

(c) At an altitude of 8 kilometers, at what rate is the atmospheric pressure changing (with respect to change in altitude)?

(d) At what altitude is the atmospheric pressure falling at the rate of 100 g/cm² per kilometer?

Transcribed Image Text:

500 Figure 2 y = f(x) H 10 y = f'(x) x