Barrons AP Calculus

(Marvins-Underground-K-12) #1
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above   gives   values  for the functions   and their   first   and second  derivatives
at x = 3. Find .

1
nonexistent

The graph   above   shows   an  object’s    acceleration    (in ft/sec^2 ). It  consists    of
a quarter-circle and two line segments. If the object was at rest at t = 5
seconds, what was its initial velocity?
−2 ft/sec
3 − π ft/sec
π − 3 ft/sec
π + 3 ft/sec
Water is leaking from a tank at the rate of R(t) = 5 arctan gallons per
hour, where t is the number of hours since the leak began. To the nearest
gallon, how much water will leak out during the first day?
7
12
24
124

Find    the y-intercept of  the line    tangent to  y   =   (x^3    −   4x^2    +   8)ecos x

2
at x = 2.
0
2.081
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