$4.$ Given the following Binary Search Tree, apply the following operations to the BTS from part a to part b$.$

$($a$)$What is the root of the tree? What is the height of the tree?

$($b$)$ Apply the following operations to the BTS from part $(1)$ to part $(4)$:

$(1)$ Insert $36.(2)$Delete $13.(3)$ Delete $42.(4)$ Delete $37.$

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