Atopical paragraph is one that

is organized around a topic sentence
contains a different perspective
adheres to the purpose of the writing
describes a quality in detail

put the trash into the back of the truck and drive the truck to the back. then you must unload the truck.

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.