Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:2. To the right, you are given the graph of a function f. List the
following quantities in order from smallest to largest.
0, f'(0.4), f'(1), f'(1.8), f'(3), f'(3.6)
Then, explain, using a complete sentence (or sentences), the
strategy you used to rank the quantities.
3. To the right, you are given the graph of the function P = f(t) =
100 1.5, which gives the population of a bacteria colony, P, after
t hours.
(a) Use the graph to estimate f'(1), and give a complete sen-
tence interpretation of your answer in the context of this
problem.
(b) Use the limit definition of the derivative and a table to
approximate f'(1) to within 0.1 of its true value. Show
your table, and circle your final answer.
f(x)
1
P
600+
500
400
300
200
100-
2
f(t) = 100-1.5t
1
2
3
4
4
x
t
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