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