A female cockroach lays her eggs in an egg case. Around 15-50 eggs are laid at a time.

A woman with a blocked Fallopian tube cannot produce babies in normal way because the eggs released by their ovary cannot meet the sperms and get fertilised in the oviducts.
But such women can have babies by using 'in vitro fertilisation' technique.

In human beings, fertilisation takes place inside the female body.
It is the fusion of male and female gamete, i.e. sperm and an ovum. It is the first stage in the process of reproduction. During fertilisation, the nuclei of egg and sperm fuse together to form a single nucleus. This results in the formation of fertilised egg or zygote.

Metamorphosis is the term used for the change from tadpole to frog.

Yes, it has a specific function. The tail in sperm provides motility to it and helps it to reach female gemetes for fusion.

Reproduction in human beings: In humans, internal reproduction takes place. There are two sexes in human beings - male & female. Male reproductive parts include a pair of testes, two sperm ducts and a penis. The testes produce the sperms. The female reproductive organs are a pair of ovaries, oviduct and the uterus

The ovary produces female gametes called ova. Fusion of the egg and the sperm is called fertilization. This results in the formation of a fertilized egg or zygote. Zygote begins to develop into an embryo. The zygote repeatedly gives rise to a ball of cells. The cells then begin to form groups and organs of the body which form embryo. The stage of the embryo in which all the body parts can be identified is called foetus. When the development of the foetus is complete, the mother gives birth to the baby.

Female fish lay eggs in water while male fish release their sperms in water. Sperms swim and reach the eggs of fish, randomly due to water currents.
When a sperm comes in contact with the viable egg, nuclei of both the cell fuses to form a zygote. This process of fertilisation takes place in water outside the female body, hence fertilisation is external in fishes.