he ate the wild kitten
to see if he is faithful to her as she is to him
He gives the the gift to Odysseus because he is the cousin of Poseidon and he is mad at him for some reason and he wants to show of that he is better than him!
Help him build and supply a boat, and give him a Strong wind to speed him along
Eurymachus attempts to reason with Odysseus after Antinous is killed and Odysseus reveals himself.When Odysseus is a beggar:Antinous attempts to reason with Odysseus when Odysseus is begging for food from him.Eurymachus attempts to reason with Odysseus, even offering him a permanent job at his estate. Odysseus rebukes Eurymachus and refuses the offer.
joke
He says that he was "surrounded by phonies".
Tell management that they're bad
She doesn't want people to gossip about him being her future husband.
to the island of the cicones
Athena tells Zeus that Odysseus is favored by the gods because of his resourcefulness, bravery, and intelligence. She reminds Zeus of Odysseus's loyalty to him and his role in winning the Trojan War, which should make him deserving of help on his journey home.
the blind prophet.
Odysseus regales Aeolus with stories of the war at Troy for a month, before leaving. When he returns, Odysseus begs Aeolus for more help, but he is denied.