is aged cheese a infinitive gerunds or participles
Aged cheese is considered a participle because it is a verb that is being used as an adjective to describe a type of cheese.
is studying a infinitive gerunds or participles
"Studying" can be both a present participle and a gerund.
As a present participle, it functions as an adjective, describing a person who is currently engaged in the act of studying. For example, "The studying student passed her exams."
As a gerund, "studying" functions as a noun, representing the action of studying. For example, "Studying is an essential part of education."