When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. this is because after making a turn, the new value of d will depend on the old value of d. complete the table for the new values of d if the robot is turning left or right. then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. type these expressions in the last row of the table.