For both of the questions below, \(A\) is a proper subset of \(U\).

1. Given the universal set \(U=\{\) Billie Eilish, Donald Glover, Bruno Mars, Adele, Ed Sheeran \(\}\) and set \(A=\{\) Donald Glover, Bruno Mars, Ed Sheeran \(\}\), find \(A^{\prime}\).

2. Given the universal set \(U=\{\mathrm{d} \mid \mathrm{d}\) is a \(\operatorname{dog}\}\) and \(B=\{\mathrm{b} \in \mathrm{U} \mid \mathrm{b}\) is a beagle \(\}\), find \(B^{\prime}\).