To ask for something in a very serious, almost begging way.
Supplicate can make people think of being very serious, or of asking for something very important.
Examples:
She supplicated for forgiveness.
He supplicated for help.
The people supplicated the king for mercy.
I supplicate for more cookies, please!
The little boy supplicated for a puppy with big, sad eyes.
The cat supplicated for more food by sitting and looking up at me.