Barrons AP Calculus

(Marvins-Underground-K-12) #1




















(B) Use areas;  then     .  Thus,   f   (7) −f  (1) =   7.

(B)  The     region x    units   from    the     stage   can     be  approximated    by  the
semicircular ring shown; its area is then the product of its circumference
and its width.

The number  of  people  standing    in  the region  is  the product of  the area
and the density:

To  find    the total   number  of  people, evaluate

(B)     is  positive,   but decreasing; hence   .

(C)

(E) On  2   ≤   t   ≤   5,  the object  moved       ft  to  the right;  then    on  5    t  8,  it
moved only ft to the left.
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