In the first sentence, "writing" is the object of "placing". In the second sentence, "writing" is the subject of "should appear". This should help you figure out the answer.
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AnonymousWould it be correct to say that "writing" is a verb in either of these?"write" is certainly a verb, but the way that "writing" occurs in those sentences it is a noun derived from a verb. It doesn't express the action of writing but the inert result of it — marks on a surface.