AP Calculus BC Quiz
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CONTEXTUAL APPLICATIONS OF DIFFERENTIATION
Question 1
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A crowd size is
N
(
t
)
=
1500
+
400
sin
(
π
t
6
)
N(t)=1500+400\sin\left(\frac{\pi t}{6}\right)
N
(
t
)
=
1500
+
400
sin
(
6
π
t
)
people after
t
t
t
hours. What is
N
′
(
3
)
N'(3)
N
′
(
3
)
?
A
0
people
0\text{ people}
0
people
B
200
π
3
people/hour
\frac{200\pi}{3}\text{ people/hour}
3
200
π
people/hour
C
0
people/hour
0\text{ people/hour}
0
people/hour
D
200
π
3
people
\frac{200\pi}{3}\text{ people}
3
200
π
people
E
π
6
people/hour
\frac{\pi}{6}\text{ people/hour}
6
π
people/hour
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