Question

1. why does the duchess invite don quixote and sancho to the palace for a visit with her and the duke?

Explanation:

The Duke and Duchess have heard tales of Don Quixote's absurd, chivalric misadventures and find his delusions highly entertaining. They invite him and Sancho to their palace to amuse themselves by manipulating and playing elaborate pranks on the pair, treating their eccentricities as a source of courtly entertainment.

Answer:

The Duke and Duchess invite Don Quixote and Sancho to their palace primarily for their own amusement: they have heard of Don Quixote's outlandish chivalric delusions and Sancho's earthy, comical demeanor, and want to entertain themselves by staging elaborate pranks and mocking the pair's eccentricities.