Summarize and give examples of three positive effects that art and creativity have on early childhood aged children in each of the following areas of development: cognitive, physical, and socio-emotional.

Cognitive: Language skills can be developed through the early introduction of art and creative materials. Music in particular has been shown to foster language and reading related skills. Even just using tactile materials to create simple shapes and demonstrate the connection between objects and their descriptive words can help an infant start to develop those same connections in their minds and making learning to speak much easier.
Physical: Almost every facet of art can help develop a child's motor skills. Playing an instrument or learning to draw very young fosters a greater awareness of one's body that helps when the child is learning to write. Fine motor dexterity is a very useful skill to have that will make early education easier for the child who already has some amount of control over their limbs and extremities.
Socio-emotional: Art and media go hand in hand. The exact kinds of media that young children are consuming and then creating is very important. Especially in a world that grows more and more diverse, it is vital that young children can develop empathy for others who don't look like them because they've seen differences depicted positively in art. The PBS article I cite down below says that

teaching children to recognize the choices an artist or designer makes in portraying a subject helps kids understand the concept that what they see may be someone’s interpretation of reality.
https://ecc.gov.jm/benefits-of-the-arts-in-early-childhood-development/

https://www.pbs.org/parents/thrive/the-importance-of-art-in-child-development