60.
1.
2.
3.
4.
5.
6.
converge.
(E)  Choices     (A),    (C),    and     (D)     can     be  shown   convergent  by  the
Comparison  Test;   the convergence of  (B) is  shown   in  Example 24.
8    Further Applications    of  Integration
(D) Velocity        and changes sign    both    when    t   =   1
and when    t   =   3.
(A) Since   v > 0   for 0    t  2,  the distance    is  equal   to  
(C) Since   the particle    reverses    direction   when    t   =   2,  and v > 0   for t >     2
but v   <   0   for t   <   2,  therefore,  the total   distance    is
(A)     so  there   is  no  change  in  position.
(B)  Since  v    =   sin    t    is  positive    on  0   <  t 2,     the     distance    covered     is 
(D) Average velocity