AP Calculus BC Practice Exam 1 383
- The temperature of a metal is dropping at the
rate ofg(t)= 10 e−^0.^1 tfor 0≤t≤10, where
gis measured in degrees in Fahrenheit andtin
minutes. If the metal is initally 100◦F, what is
the temperature to the nearest degree
Fahrenheit after 6 minutes?
(A) 37
(B) 45
(C) 55
(D) 63
- A particle moves along they-axis so that its
position at timetisy(t)= 5 t^3 − 9 t^2 + 2 t−1. At
the moment when the particle first changes
direction, the (x,y) coordinates of its
position are
(A) (0, 0.124)
(B) (0.124,− 0 .881)
(C) (0,− 0 .881)
(D) (− 0 .881, 0)
- The interval of convergence of the series
∑∞
n= 1
(x−3)n
n^2
is
(A) (2, 4)
(B) (2, 4]
(C) [2, 4)
(D) [2, 4]
Not to Scale
y
x
x = 4 y = –x
y = x
0
- The base of a solid is a region bounded by the
linesy=x,y=−x, andx=4, as shown above.
What is the volume of the solid if the cross
sections perpendicular to thex-axis are
equilateral triangles?
(A)
16
√
3
3
(B)
32
√
3
3
(C)
64
√
3
3
(D)
256 π
3
- Let fbe a continuous function on [0, 6] and
have selected values as shown below.
x 0 2 4 6
f(x) 0 1 2.25 6.25
If you use the subintervals [0, 2], [2, 4], and
[4, 6], what is the trapezoidal approximation
of
∫ 6
0
f(x)dx?
(A) 9.5
(B) 12.75
(C) 19
(D) 25.5
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