<p>Q1) Marisa became fluent in French only after she had lived in France for a while; she would not have acquired the language as quickly (by studying) French at home. </p>
<p>I thought (by studying) must be (by having studied) since the sentence has 'would not have'.</p>
<p>Q2) Having methodically examined the building and its entrances, the fire inspector concluded that the owner had compiled to all regulations. </p>
<p>Pretty sure that “studying French at home” is a noun phrase as in:
[Studying] - noun
[French at home] - modifies noun
[is] - verb
[fun] - adjective.
Not entirely sure, but it definitely makes sense as it is.</p>
<p>For number one, if you’ve narrowed it down to two choices, always use the less wordy of the two. The “having” is a useless word, and the SAT hates useless words.</p>
<p>For number two, you can’t “comply to” something, you have to “comply with”.</p>