AP Calculus BC Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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Water drains with rate
r
(
t
)
=
e
−
t
r(t)=e^{-t}
r
(
t
)
=
e
−
t
liters/min for
t
≥
0
t\ge0
t
≥
0
; does
∫
0
∞
r
(
t
)
d
t
\int_{0}^{\infty} r(t)\,dt
∫
0
∞
r
(
t
)
d
t
converge, and to what value?
A
Converges to
1
1
1
B
Converges to
0
0
0
C
Diverges
D
Converges to
e
e
e
E
Converges to
1
e
\frac{1}{e}
e
1
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