Where did Prospero and Miranda live? How was the art of magic useful for Prospero? Who was Sycorax?

Sycorax is Caliban's mother.She is from Alger nd she was the one who punished Ariel for not carrying our her orders.

Prospero and Miranda lived in a cell on the island.

Prospero used his art of magic to get the spirits of the isle to obey him, and also to set Ariel free from boundage by Sycorax.

Prospero,a master planner, uses his art of magic to get his enemies closer to him.