







The average rate of change of cot(t) 
20170118 

From Brianna: Hello!
It's been a while since I've taken a math course, and I'm stuck on a problem in my calculus course.
The question is this:
Find the average rate of change of the function over the given interval.
h(t)=cot(t) a) [5pi/4, 7pi/4] Answered by Penny Nom. 





Interest rate over two periods 
20090412 

From Kenneth: Hello:
How is the average determined for the following amount if it earns
compound interest?
Here are my calculations, but I'm not certain that they are correct:
Initial amount invested $500.00:
$500.00 @ 5% = $525.00.
$525.00 @ 2% = $514.50.
$14.50/$500.00 = 2.9% divided by 2 equals an average of 1.45%.
If this average, 1.45%, is correct, how can I use 5% and 2% to
determine the same average?
Is it possible?
I thank you for your reply. Answered by Penny Nom. 





The average rate of change 
20080329 

From Tom: For the function x/3x1 find the average rate of change between the interval x=1 and x=5? Answered by Harley Weston. 





The average rate of change of a function 
19990420 

From Tammy: Suppose that the average rate of change of a function f over the interval from x=3 to x=3+h is given by 5e^h4cos(2h). what is f'(3)? I would appreciate any help with this question. Answered by Harley Weston. 

