1.) A deposit of S dollars that earns 100r% annual interest compounded continuously leaves a balance of P = 'Se' power of 'n' or ( 'Se' to the 'n') dollars after "t" years.
a) What will an amount of $ 5000 grow to after 15 years at 10% annual interest compounded continuously?
b) Determine the rate at which P is growing.
3) Find the maximum point of the graph y=x^x x>0 and sketch.
See attached file for full problem description.
Derivatves and Rate of Change Word Problems are solved. The solution is detailed and well presented.