The level of ozone, an invisible gas that irritates and impairs breathing, present in the atmosphere on a certain May day in the city was approximated by
?
, where 
is measured in pollutant standard index (PSI) and t is measured in hours, with 
corresponding to 7 a.m.
?
Use the second derivative test to show that the function A has a relative maximum at approximately 
. Interpret your results.
What will be an ideal response?
Setting 
gives 
and 
. Since 
, the second derivative test implies that 
is a relative maximum of A. Hence, the level of ozone achieves its actual maximum at approximately 4 p.m.
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Determine whether the argument is valid or invalid.If Ann so wishes, then Bill will be the president. Manuel is a public defender or Bill will be the president. Manuel is not a public defender. Therefore, Ann does not so wish.
A. Valid B. Invalid
Solve the problem.The sum of three numbers is -11. The first, minus the second, plus 3 times the third, is -9. The third, plus 5 times the first, plus the second, is -27. What are the numbers?
A. No solution B. 4, 4, 3 C. -4, -4, -3 D. -4, -4, -4
Solve the problem.Five minutes after starting his run, a jogger ran 
mile. After 20 minutes of running at a constant speed, he traveled a distance of 1
miles.(i) Write an equation that shows the distance d the jogger traveled t minutes after he starts his run.(ii) What is the slope of the line. Explain its meaning in this situation.(iii) How long would it take him to run 2 miles?
A. (i) d = 
t
(ii) The slope of the line is 
; it represents the jogger's running speed in miles per minute.
(iii) It would take 6 minutes to run 2 miles.
B. (i) d = 
t
(ii) The slope of the line is 
; it represents the jogger's running speed in miles per minute.
(iii) It would take 12 minutes to run 2 miles.
C. (i) d = 
t
(ii) The slope of the line is 
; it represents the jogger's running speed in miles per minute.
(iii) It would take 48 minutes to run 2 miles.
D. (i) d = 
t
(ii) The slope of the line is 
; it represents the jogger's running speed in miles per minute.
(iii) It would take 24 minutes to run 2 miles.
Write a stochastic matrix corresponding to the transition diagram.0.9
0.3
A. 
B. 
