Barrons AP Calculus

(Marvins-Underground-K-12) #1
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12.50

Given   three   twice-differentiable    functions,  f(x),   g(x),   and h(x).   The table
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. How many
gallons will leak out during the first day?
7
12
24
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