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big-Theta notation
1. Show that big-Theta notation (Θ) defines an equivalence relation on the set of functions.
2. Give the best lower bound that you can for the following code fragment, as a function of the initial value of n.
while (n > 1)
if (ODD(n))
n = 3 * n + 1;
else
n = n / 2;
Do you think that the upper bound is likely to be the same as the answer you gave for the lower bound?
Find the tangential and normal components of the position vector p(t) =
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Calculate the average rate of change.
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