The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level on Earth satisfies a differential equation P kP for some positive constant k. (a) Measurements with a baromoter show that P(0) - 0.2 and P(8) - 0.1. What is the decay constant k? (b) Determine the atmospheric pressure 18 miles above sea level. (a) k- (b) P(18) Note: You can earn partial credit on this problem.

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