Romantic poets generally believed that nature offered a purpose and meaning beyond its physical appearance.
a. true
b. false

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.  

this is a good question! i'll do some research and come back when i have the answer!