After spending time with gulliver, how does the king of luggnagg come to feel about him?
the king wants to have gulliver arrested and executed.
the king enjoys gulliver’s company and wants him to remain on luggnagg.
the king likes him so much that he wants gulliver to marry one of his daughters.
the king dislikes gulliver’s interactions with the luggnaggians.

After spending time with Gulliver, the king of Luggnagg felt this about him:

The king enjoys Gulliver’s company and wants him to remain on Luggnagg.

Explanation:

The king of Luggnagg was very happy with Gulliver and he gave some money to him to enjoy three months with the people of Luggnagg. Also, when Gulliver was about to leave, he gave him many presents and also gave a recommendation letter to the Emperor of Japan.

the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.