i need help on some help on gerund phrase and the noun function of it

9 answers

http://www.englishclub.com/grammar/verbs-gerunds.htm
This gives an excellent explanation of what gerunds are and how to recognize them.

http://www.englishclub.com/grammar/verbs-gerunds_1.htm
This page explains how gerunds are used.

Please re-post if you have specific questions.
thank you and my question is on this sentence:He must like studying calculus.
the gerund phase would be studying calculus and would be the direct object?
Yes, correct on both counts. Nice!
thank you and i have one more the sentence is: Her favorite pastime is entertaining friends. the phase would be is entertaining friends and would be a Predicate Nominative?
The gerund phrase is "entertaining friends." You're right -- it's a predicate nominative.
:) last one: She is successful in mimicking others' voices. the phrase would be mimicking others and would be Object of the Preposition?
Yes, correct.

=)
thank you so much
You're very welcome.