What is the gerund phrase and noun function of the gerund in these sentences:

1.Brett earns his income by repairing cars.
2.I enjoy playing the piano.
3.Her favorite pastime is entertaining friends.
4.She is successful in mimicking others' voices.
5.He must like studying calculus.
6.Water skiing, sailing, and swimming are my favorite summer sports.
7.Writing a research paper sounds difficult.

whats that ms.sue??

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so in the second question the gerund is playing? and its function is predicate nominative?

ms.sue??

Playing is the gerund. The gerund phrase is playing the piano.

It is not a predicate nominative.

so then it would be the subject?

No.

Please stop guessing and study the parts of a sentence in your book.

its online ,not in a book

im just asking for help