If the temperature is constant, then the atmospheric pressure p (in pounds/square inch) varies with the altitude above sea level h in accordance with the law  p0e-kh  where p0 is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 16 lb/in 2 at sea level and 11.5 lb/in 2 at 4000 feet , find the atmospheric pressure at an altitude of 12,000 feet.

Q: If human toenail grows at an average rate of about 0.13 inch a month.   1 year has 12 months. 1…

A: Given, Growth of human to nail =0.13 inch/month 1 year has 12 months. 1 inch is equal to 2.54 cm.…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.