SOLUTION: Honest to god I got no clue how to answer this question. Anyone that can solve can get a 5$ paypal after they send the working. Put your e-mail at the bottom of the work. Question

Question 1107253: Honest to god I got no clue how to answer this question. Anyone that can solve can get a 5$ paypal after they send the working. Put your e-mail at the bottom of the work.
Question is
Using the definition of dY/ dX= lim h-> 0 (f(x+h)-f(x))/ h) find the average rate of change of the function f(x) = 2 + cos x over the interval (O, Pie)
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

I can give the answer to the question for free.


The answer is: ZERO.

Solution

The rate of change is the derivative  f'(x) = (2 + cos(x))' = -sin(x).


The  average rate of change  is the integral of f'(x)*dx  over the interval from 0 to , divided by the length of this interval.  


The integral itself is equal to zero, hence the answer.

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