Solve the Problem $\mathrm { p }$ At an Altitude Of $\mathrm { h }$

question 103

Multiple Choice

Solve the problem.
-The barometric pressure $\mathrm { p }$ at an altitude of $\mathrm { h }$ miles above sea level satisfies the differential equation $\frac { d p } { d h } = - 0.2 p$ . If the pressure at sea level is $29.92$ inches of mercury, find the barometric pressure at $29,000 \mathrm { ft }$ .

• A) 4.99 in.
• B) 9.97 in.
• C) 89.75 in.
• D) 0.09 in.

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