When a creature card gives another creature counters does the counters go away when the creature that gave them dies.(the card does NOT say It gives is a +1 +1 counter as long as it is on the field)
No, the counters stay where they are. Counters are a separate entity once they are placed on a permanent. If a creature says "other creatures get +1+1" and then leaves the battlefield, the bonus is lost. And if a creature with +1+1 counters on it leaves the battlefield, the counters go away. But in the scenario you described, the counters stay.