can u help me out starting from b?

[ashlyshh]

The value of an antique ornament t years after being purchased is A = 2000e(0.1 t) dollars. (its e powered 0.1t)

1. a Find the value of the antique
   ii when purchased and
   ii 3 years after purchase.
2. b Hence, find the average rate of change of value
   in the 3 years since purchased.
3. c Find the rate of change of value 3 years after
   purchase.

 

[Romsek]

[MATH]\overline{\Delta A} = \dfrac{A(t_1) - A(t_0)}{t_1-t_0}[/MATH]
evaluate that at [MATH]t_0=0,~t_1=3[/MATH]
for (c) you'll need to to find [MATH]\left .\dfrac{dA}{dt}\right|_{t=3}[/MATH]
do you know how to do that?

 

[Steven G]

Welcome to the forum! This is a free math help forum and a not a free homework forum. That is we expect you to solve your own problem getting hints from the forum helpers along the way. For this to work well you need to be actively involved. That means that you need to show your work so that we know which method you want to use and where you are making any mistakes.

Romsek gave you a starting hint. Post back showing your work and you'll receive expert help from there.