No.
The vast majority of mammals do not lay eggs at all. There are only three egg-laying mammals, which are known as monotremes: the platypus, the short-beaked echidna and the long-beaked echidna. Not one of these species lays its eggs in the water.
No. Rabbits do not lay eggs. They are placental mammals. The only mammals which lay eggs are the monotremes, which include the platypus and the echidna.
Jaguars are mammals. Mammals do not lay eggs.
No, they're mammals. Mammals don't lay eggs (except for monotremes).
Elephants are mammals Mammals don't lay eggs
Cougars are mammals. Mammals do not lay eggs. They have a live birth.
Elephants are mammals, and do not lay eggs.
Porcupines are mammals and do not lay eggs
No, they're mammals. Mammals don't lay eggs (except for monotremes).
No. Agouti are small mammals, and the only mammals which lay eggs are platypuses and echidnas.
No. Monotremes are the only mammals which lay eggs. Placental mammals give birth to live young.
No. Mammals which lay eggs are monotremes. Placental mammals and marsupials give live birth.
Giraffes are mammals. Mammals do not lay eggs.