SOLUTION: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0

Algebra ->  Test -> SOLUTION: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0      Log On


   

Question 1118212: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) (Round your answers to seven decimal places.)
f(x) = x^2/6
a = 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do one. Do the others exactly the same way.
Calculate f%28a%29.
f%28a%29=f%281%29=%281%29%5E2%2F6=1%2F6
Calculate f%28a%2Bh%29
f%28a%2Bh%29=f%281%2B1%29=f%282%29=%282%29%5E2%2F6=4%2F6 <--- I won't simplify here.
Calculate average rate of change of function.

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Do the same for the remaining h values.