AP Calculus BC Practice Exam 2 413
- Which of the following is the best approximate
value ofywhenx= 3 .1if2x
dy
dx
− 7 =1 and
y= 4 .5 whenx=3?
(A) 1.290
(B) − 9. 104
(C) 4. 631
(D) 4.525
- The velocity of a particle moving on a number
line is given byv(t)=sin(t^2 +1),t≥0. At
t=1, the position of the particle is 5. When
the velocity of the particle is equal to 0 for the
first time, what is the position of the particle?
(A) 5.250
(B) 4.750
(C) 3.537
(D) 1.463
88.
∑∞
n= 1
n!+ 2 n
2 n·n!
=
(A) e
(B) 1 +e
(C) 2 +e
(D)
2
3
+e
- At what value ofxdoes the graph of
y=
1
x^2
−
1
x^3
have a point of inflection?
(A) x= 1
(B) x= 2
(C) x= 3
(D) x= 4
- Twenty ostriches are introduced into a newly
built game farm. If the rate of growth of this
ostrich population is modeled by the logistic
differential equation
dp
dt
=. 25 p
(
1 −
p
200
)
with the timetin years, and the farm can
support no more than 200 ostriches, how
many years, to the nearest integer, will it take
for the population to reach 100?
(A) 5
(B) 7
(C) 8
(D) 9
STOP. AP Calculus BC Practice Exam 2 Section I Part B
