A particle is moving along x axis. Its position as a function of time is given by `x = x(t)`. Say whether following statements are true or false.
(a) The particle is definitely slowing down if `(d^(2)x)/(dt^(2)) gt 0` and `(dx)/(dt) lt 0`
(b) The particle is definitely moving towards the origin if `(d(x^(2)))/(dt) lt 0`
