Accumulation Functions, Definite Intervals, Applied Contexts
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find the net change in a population given birth rate
b
(
t
)
b(t)
b
(
t
)
and death rate
d
(
t
)
d(t)
d
(
t
)
over
[
a
,
b
]
[a, b]
[
a
,
b
]
.
QUESTION
Identify the accumulated sales given sales rate
S
(
t
)
S(t)
S
(
t
)
on
[
0
,
T
]
[0, T]
[
0
,
T
]
.
QUESTION
Determine the total charge accumulated given current
I
(
t
)
I(t)
I
(
t
)
over
[
a
,
b
]
[a, b]
[
a
,
b
]
.
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ANSWER
∫
a
b
I
(
t
)
d
t
\int_{a}^{b} I(t) \, dt
∫
a
b
I
(
t
)
d
t
. Current integration gives total electric charge.
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