Dimethyl formamide (DMF) is a strong polar aprotic solvent, and whether it dissolves a given fibre at its boiling point depends on how well that solvent can break the fibre's intermolecular bonding. Checking each fibre type against this settles the answer.
Only acrylic's nitrile-based intermolecular bonding is the kind that hot DMF can effectively disrupt.
Therefore, the correct answer is Acrylic.