Let a be the number of positive multiples of 6 that are less than 30. let b be the number of positive integers that are less than $30$, and a multiple of $3$ and a multiple of $2$. compute $(a - b)^3$.

As you have learned, epic heroes experience trials along their journeys. using your knowledge from beowulf, create a trial you believe an epic hero like beowulf might face. you will need to write a description of the trial using the aspects of a narrative. the trial can be anything you imagine, meaning you can test the hero in any way you see fit. be creative and have fun with this! let your creativity flow. focus on key attributes of beowulf and use his attributes to create a trial that would truly test him. since beowulf is very strong, a trial involving strength and endurance might be to easy. try thinking outside the box to create a trial that would truly test the hero of the geats. examples of beowulf’s attributes: couragous, loyal, strong, persistant, honorable, confident try to use one or multiples of these attribute when designing your trial. a good way to think of this activity is that you are a hunger games game designer. what could you make that would stump beowulf