Barrons AP Calculus

(Marvins-Underground-K-12) #1
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The coefficient of  x^3     in  the Taylor  series  of  ln  (1  −   x)  about   x   =   0   (the
Maclaurin series) is



The rate    at  which   a   rumor   spreads across  a   campus  of  college students    is
given by , where P(t) represents the number of students
who have heard the rumor after t days. If 200 students heard the rumor
today (t = 0), how many will have heard it by midnight the day after
tomorrow (t = 2)?
320
474
726
1015

Given   function    f,  defined by   .  Find    the average rate    of
change of f on the interval [−1,1].
−1.433
0
0.264
0.693
A 26-foot ladder leans against a building so that its foot moves away
from the building at the rate of 3 feet per second. When the foot of the
ladder is 10 feet from the building, the top is moving down at the rate of
r feet per second, where r is
0.80
1.25
7.20
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