Database vs Database Engine

Question

I work with MS Access, I did some projects with Android/Sqlite, but now I have some questions:
-what is the difference between a Database and a database engine?
-All databases need a database engine to work?
-The scripts or, for example, using programming languages as Php to store, read from MYSQL, even in this case is there a need for database engine?

Answer 1

A database engine (or storage engine) is the underlying software component that a database management system (DBMS) uses to create, read, update and delete (CRUD) data from a database.

A database is a collection of information that is organized so that it can be easily accessed, managed and updated.

Answer 2

So MYSQL is only a database or is it a database engine? Or if not, do I need a database engine if I will access a database through scripts, or with PHP?