Barrons AP Calculus

(Marvins-Underground-K-12) #1








Send    region  S   about   the x-axis. Use washers;    then    ΔV  =   π(R^2   =   r^2 )   Δx.
Symmetry allows you to double the volume generated by the first
quadrant of S, so V is

A   calculator  yields  108.177.

(A) The curve   falls   when    f   ′(x)    <   0   and is  concave up  when    f   ′′(x)   >   0.

(B) .   To  find    g′(0),  find    x   such    that    f(x)    =   0.  By  inspection,
x = −1, so .
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