Am I right about these?:
Can you cook? (I’m asking if you are good at cooking, if you know how to cook)
Could you please help me to dust off the counter?(I’m politely asking for someone’s help)
Can and could work pretty much the same way; could is a little more formal and polite, but there really isn’t much difference
Would you do something for me? (is a request)
May I? (you ask permission for something)
May I ask you why you didn’t tell them the truth?
"Could you" do something? is the same as asking if you are able to do it.
"Would you" is a request.
thanks