Find the values of t where cancellation will be serious in the following expressions, and rework to avoid the cancellation: (a) 1/t − 1/ √ t 2 + a; (b) e−2t 2 − e−8t 2 ; (c) log(et+s − et ); (d) [(1 +...

Find the values of t where cancellation will be serious in the following expressions, and rework to avoid the cancellation:

(a) 1/t − 1/ √ t 2 + a;

(b) e−2t 2 − e−8t 2 ;

(c) log(et+s − et );

(d) [(1 + e−t )2 − 1]t 2e−t .