Barrons AP Calculus

(Marvins-Underground-K-12) #1
1.

(A)
(B)
(C)
(D)

2.

(A)
(B)
(C)
(D)
3.

Part A

TIME: 60 MINUTES

The use of  calculators is  not permitted   for this    part    of  the examination.
There are 30 questions in Part A, for which 60 minutes are allowed. Because there is no deduction
for wrong answers, you should answer every question, even if you need to guess.
Directions: Choose the best answer for each question.

A   cylindrical tank,   shown   in  the figure  above,  is  partially   full    of  water   at
time t = 0, when more water begins flowing in at a constant rate. The
tank becomes half full when t = 4, and is completely full when t = 12. Let
h represent the height of the water at time t. During which interval is
increasing?
0 < t < 4
0 < t < 8
0 < t < 12
4 < t < 12

    is

1
−1
0
nonexistent
If f(x) = x ln x, then f ′′′(e) equals
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