The first mission is assigned to Daxter by Ximon after the missions "Collect 40 gems (distillery)" and "Collect 40 gems (fish cannery)". Ximon called Daxter using his communicator, indicating he requires help at Emerald Isle.
This time you must hunt a new type of hive queen using the ranger zoomer. This vehicle is fast enough to just about keep up with the queen. You have a single means of offense available, which are bombs thrown by Ximon. His range is quite short so get as close to the queen as possible to hit it. Once hit, it accelerates, forcing you to repeat this several times. It follows a more or less set path around the area, so use knowledge of its route to your advantage.
Note that the bombs have to be thrown using , or rather the equivalent R shoulder button.
The second time the roles have been reversed for both you and the queen. Ximon will be driving and you will have to man the tail gun. The queen will instead be chasing you and spawning small and very fast explosive bugs. Shoot down the bugs as they appear, lest they destroy your vehicle. The queen is quite sturdy and takes a while to be properly downed with the tail gun.