AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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A bacterium population changes at
P
′
(
t
)
=
500
−
20
t
P'(t)=500-20t
P
′
(
t
)
=
500
−
20
t
cells/hour for
0
≤
t
≤
10
0\le t\le10
0
≤
t
≤
10
; which gives net change in population?
A
P
(
10
)
−
P
(
0
)
P(10)-P(0)
P
(
10
)
−
P
(
0
)
B
∫
0
10
(
500
−
20
t
)
d
t
\int_0^{10} (500-20t)\,dt
∫
0
10
(
500
−
20
t
)
d
t
C
∫
0
10
∣
500
−
20
t
∣
d
t
\int_0^{10} |500-20t|\,dt
∫
0
10
∣500
−
20
t
∣
d
t
D
10
⋅
P
′
(
10
)
10\cdot P'(10)
10
⋅
P
′
(
10
)
E
P
′
(
10
)
−
P
′
(
0
)
P'(10)-P'(0)
P
′
(
10
)
−
P
′
(
0
)
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