The price of a certain commodity in dollars per unit at time t (measured in weeks) is given by p = 20 − 3e−2t − 4e−t/3.   What is the average price of the commodity over the 5-week period from (t = 0) to (t = 5)? (Round your answer to the nearest cent.)

Q: Approximate the solution to ln 4x = 3.2. Round to 3 decimal places

A:

Q: In one individual, the proportion of alcohol absorbed into the bloodstream after drinking two…

A: 12 hour= 12×60=30 minutes We have to find the percentage of alcohol after 30 minutes.  So, t=30, we…

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.