Question: could you help me with those question part A and B please. I really appreciate for your help. Explain for me each step and proof

could you help me with those question part A and B please. I really appreciate for your help. Explain for me each step and proof how to get the solution.
Synopsis: Utilizing the time complexity formulae on the introduced concepts: divide-and-conquer, heap, and etc.
Keywords: Big-O, Big-Theta, Big-Omega, Asymptotic Notations
could you help me with those question part A and B

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