He worked feverishly for a little less than an hour, at the end of which he found he had solved every problem in every branch of higher mathematics that had ever puzzled either him or any of the great mathematicians of the land.

Which context clue is most helpful in determining the meaning of the word feverishly?

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.  

b would have to be the answer

they bound logs together and built a raft. enkidu steered it down the great river. gilgamesh carried humbaba's head.

if the italicized words are he ran switfly, we can rewrite the sentence using a verbal phrase as follows:

running swiftly he was able to overtake the child.