The problem is as follows: A particle moves along the x-axis with the position at timetgivenby x(t)= e^ -tsin tfor 0 < or equal tot <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