MA 3972-MA-Book April 11, 2018 16:32
AP Calculus AB Practice Exam 1 355
- A functionfis given as f(x)=x^3 +1 for
1 ≤x≤3. If 1≤c≤3 and f′(c) is equal to
the average rate of change of fon the interval
[1, 3], what is the value ofc?
(A)
√
13
3
(B)
3
√
2
2
(C) 6. 5 (D) 13
- The velocity of a particle moving on a straight
line is given asv(t)=cos(t)(esin(t)) fort≥0. At
t=
π
4
, what is the acceleration of the particle?
(A) − 2. 718 (B) − 1. 346
(C) − 0. 420 (D) 1.434
- The region, bounded by the graph of
y=cos(x), they-axis, and thex-axis, for
0 ≤x≤
π
2
, is divided by the linex=kinto
two regions of equal area. What is the value
ofk?
(A)
π
6
(B)
π
4
(C)
π
3
(D)
π
2
- In a given petri dish, the number of bacteria
grows at approximately the rate of
r(t)= 2
√
t·e^1.^02 tbacteria per day, wheretis
the number of days since the culture in the
petri dish began. At day two, there are 150
bacteria. Which of the following is the best
approximation for the number of bacteria at
day five?
(A) 623 (B) 638
(C) 773 (D) 788
STOP. End of AP Calculus AB Practice Exam, Section I Part B.
