Hello, I've got a question like this:
The atmospheric pressure at an altitude of x kilometers above sealevel is approximately e^(−x/8) millibars. A rocket is rising at a rate of 8 kilometers per second vertically. At what rate is the atmospheric pressure changing (in millibars per second) when the altitude of the rocket is 64 kilometers?
Don't you simply derive e^(-x/8) and then plug in x=64? I just want to make sure. But in that case, the "rate of 8 kilometers per second" part of the question is useless?
through chain rule, i got -1/8e^(-x/8). plugging in 64 gets me -1/8e^(-8).
The atmospheric pressure at an altitude of x kilometers above sealevel is approximately e^(−x/8) millibars. A rocket is rising at a rate of 8 kilometers per second vertically. At what rate is the atmospheric pressure changing (in millibars per second) when the altitude of the rocket is 64 kilometers?
Don't you simply derive e^(-x/8) and then plug in x=64? I just want to make sure. But in that case, the "rate of 8 kilometers per second" part of the question is useless?
through chain rule, i got -1/8e^(-x/8). plugging in 64 gets me -1/8e^(-8).