AP Calculus AB Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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A student types at rate
r
(
t
)
r(t)
r
(
t
)
words/min,
t
t
t
minutes after starting. What does
∫
0
20
r
(
t
)
d
t
\int_{0}^{20} r(t)\,dt
∫
0
20
r
(
t
)
d
t
represent?
A
The total number of words typed in the first 20 minutes, in words
B
The typing rate at
t
=
20
t=20
t
=
20
, in words per minute
C
The average typing rate over the first 20 minutes, in words
D
The change in typing rate from
t
=
0
t=0
t
=
0
to
t
=
20
t=20
t
=
20
, in words per minute
E
The time per word typed in the first 20 minutes, in minutes per word
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