Barrons AP Calculus

(Marvins-Underground-K-12) #1
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For which   curve   shown   in  question    16  is  f ′′    positive    but f ′ negative?

In Questions 18–21, the position of a particle moving along a horizontal line is
given by s = t 3 − 6t 2 + 12 t − 8.


The object  is  moving  to  the right   for
t < 2
all t except t = 2
1 < t < 3
t < 1 or t > 3
t > 2
The minimum value of the speed is
0
1
2
3
8
The acceleration is positive
when t > 2
for all t, t ≠ 2
when t < 2
for 1 < t < 3
for 1 < t < 2
The speed of the particle is decreasing for
t < 2
t < 3
all t
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