The problem is as follows: A particle moves along the x-axis with the position at time t given by x(t) = e^ -t sin t for 0 < or equal to t < or equal to 2pi
a) find the time t at which the particle is farthest to the left. justify your answer.
b) find the value of the constant A for which x(t) satisfies the equation Ax'' (t) + x'(t) + x(t) = 0