MATH140 Quiz 4  Match each of the following graphs to the appropriate
MATH140 Quiz 4
1) Match each of the following graphs to the appropriate conditions for and . Explain.
I.
II.
III.
A.
B.
C.
D.
E.
Write the letter that corresponds to the correct graph:
(I) _ _________ (II) _ _________ (III) _ _________
2) Find the critical numbers for the function
(A)
(B)
(C)
(D)
(E) None of the above
2) _____________
3) Find the intervals on the axis on which the function is increasing and those on which it is decreasing, where
3) _ _____________
(A) Decreasing on ; Increasing on .
(B) Increasing on ; Decreasing on .
(C) Increasing on ; Increasing on ; Decreasing on .
(D) Decreasing on ; Increasing on ; Decreasing on .
(E) None of the above
4) Find the maximum value of the function
4) _____________
(A) 2/3
(B) 1
(C) 7.75
(D) 16
(E) None of the above
5) Engineers want to design an auxiliary pipeline from a new natural gas source; 3 km from the main pipeline, to a power plant located 10 km down the main pipeline, in the least amount of time (see Figure 1). If the oil can flow 10 km/hr along the auxiliary pipeline (OB) and 15 km/hr along the main pipeline (AP), where should the engineers join the auxiliary pipeline to the main pipeline to get the gas to P as soon as possible?
Figure 1
Power Plant
Natural Gas Source
O
A
B
P
x
10
10 – x
3
5) _____________
(A) 0
(B) 0.89
(C) 0.97
(D) 6/
(E) None of the above
(6) Calculate the limits

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Solution: MATH140 Quiz 4  Match each of the following graphs to the appropriate