A calculator yields k = 8.
(C) It is given that a(t) = sin t, e−t.
Use a calculator to find that the object’s maximum speed is 2.217.
(C) Use the Ratio Test:
which is less than 1 if −3 < x < 3. When x = −3, the convergent
alternating harmonic series is obtained. When x = 3, the divergent
harmonic series is obtained.