Atmospheric pressure $P$ (in lbs per square inch) under typical conditions can be approximately calculated by using the formula below, where $h$ represents the number of feet above sea level.

$P = 14.7e^{−0.00003h}$

1. What is pressure at sea level?

   Hint (a):

   $P = 14.7e^{−0.00003(0)}$

   Answer (a):

   $14.7$ psi

2. Use the formula to calculate the atmospheric pressure in the mile-high city of Denver, Colorado. 

   Hint (b):

   $P=14.7e^{-0.00003(5280)}$

3. The lowest point in Death Valley is $285$ feet below sea level. What is the atmospheric pressure in Death Valley?

   Hint (c):

   $P=14.7e^{-0.00003(-285)}$