a. State the implied domain of f.
b. Sketch the graph of the derived function f' on the set of axes below.
c. State the domain of f'.
Question 3
Rodney rides a bicycle to work. Over a three-year period, he records the time it
took him to ride to work on 1000 occasions. His results are given in the table
below.
time (t minutes)
number of occasions
t < 20
0
20 < t < 21
3
21 < t < 22
12
22 < t <23
122
23< t <24
347
24< t <25
355
25 <t <26
141
26< t <27
18
27< t <28
2
t > 28
0
If Rodney's trip takes longer than 25 minutes he is in danger of being late for work.
a. Calculate the proportion of occasions when he takes
longer than 25 minutes.
b. Calculate, correct to four decimal places, the
standard error of this proportion.
(VCE 1998: Mathematical methods - CAT2 part II)
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