How does Juliet respond to her mother's request?

Answer 1

It depends on what you consider to be her mother's request. Her mother doesn't ask her to marry Paris in Act 3, she tells her she is going to marry him. Even in Act 1, her command "Read over the volume of young Paris's face" is a command, although it is more like a request, since it is followed by the question, "Can you like of Paris's love?", to which Juliet responds "How should I know, when I've never even seen the guy?" although she says it like this: "I'll look to love if looking liking move."

Answer 2

Juliet responds to her mother's request by honoring it. She pays attention to Paris at the party as her mother had requested.