AP Calculus AB Quiz
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CONTEXTUAL APPLICATIONS OF DIFFERENTIATION
Question 1
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The diameter of a tree trunk is
d
(
t
)
d(t)
d
(
t
)
centimeters after
t
t
t
years. What does
d
′
(
15
)
=
0.4
d'(15)=0.4
d
′
(
15
)
=
0.4
mean?
A
At year 15, the diameter is
0.4
0.4
0.4
cm.
B
At year 15, the diameter is increasing at
0.4
0.4
0.4
cm per year.
C
At year 15, years increase at
0.4
0.4
0.4
years per cm.
D
From year 0 to year 15, the diameter increased
0.4
0.4
0.4
cm total.
E
At year 15, the diameter increases at
0.4
0.4
0.4
cm per month.
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