(Solved): 1. Indicate, for each pair of expressions \( (A, B) \) in the table below, whether \( A \) is \( O ...

1. Indicate, for each pair of expressions \( (A, B) \) in the table below, whether \( A \) is \( O \), \( \Omega \), or \( \Theta \) of \( B \). Assume that \( k \geq 1, E>0 \), and \( c>1 \) are constants. Your answer should be in the form of the table with "yes" or "no" written in each box.