Barrons AP Calculus

(Marvins-Underground-K-12) #1




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The graph   shows   the rate    at  which   tickets were    sold    at  a   movie   theater
during the last hour before showtime. Using the right-rectangle method,
estimate the size of the audience.
270
300
330
360

Find    the x-coordinate    where   f(x)    =   4sin x  and g(x)    =   ln  (x^2 )  intersect   and
their derivatives have the same sign.
−5.240
−3.961
−1.151
2.642
Which statement is true?
If f ′(c) = 0, then f has a local maximum or minimum at (c,f(c)).
If f ′′(c) = 0, then the graph of f has an inflection point at (c,f(c)).
If f is differentiable at x = c, then f is continuous at x = c.
If f is continuous on (a,b), then f attains a maximum value on (a,b).

The graph   of  f   ′   is  shown   above.  Which   statement(s)    about   f   must    be  true
for a < x < b?
f is increasing.
f is continuous.
f is differentiable.
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