In textile dyeing and printing:

• Turkey red oil (sulfated castor oil) is an anionic surfactant widely used as a premier wetting agent, emulsifier, and dispersing auxiliary that facilitates uniform paste penetration into fabric fibers.
• Sodium lactate acts as a humectant.
• Urea acts as a hygroscopic agent and dye-solubilizing agent in print paste.
• Potassium ferrocyanide is an oxidizing or discharge printing agent.

Polyester is a highly crystalline, hydrophobic synthetic fiber with a compact macromolecular structure that has no ionic dye sites. When dyed with disperse dyes at atmospheric boil (around $100^{\circ}\text{C}$), chemical carriers (such as orthophenylphenol, biphenyl, or chlorinated benzenes) are required to swell the polyester fiber, reduce the glass transition temperature ($T_g$), and accelerate dye diffusion into the amorphous zones.

Option analysis:

• Silk: Incorrect. Natural protein fiber easily dyed with acid and reactive dyes without carriers.
• Wool: Incorrect. Dyed with acid, metal-complex, or reactive dyes under mild conditions.
• Nylon: Incorrect. Polyamide fiber readily receptive to acid and disperse dyes without swelling carriers.
• Polyester: Correct. Carriers are essential for atmospheric exhaust dyeing of polyester fibers with disperse dyes.

Short, fine machine stitches (e.g. $15$ to $18$ stitches per inch) provide structural reinforcement, elasticity, and sharp definition for intricate or curved details. They are specifically required for curved seams (A) to prevent seam popping upon clipping, bias seams (C) to allow natural give without breaking, scallops (D) to create crisp ornamental curves, and bound buttonholes (E) to ensure tiny corners do not fray. Long basting stitches are used to control fullness (B).

Option analysis:

• Incorrect because statement B uses longer gathering stitches.
• Incorrect because it includes B and excludes C.
• ((A), (C), (D) and (E) only): Correct. These construction areas require short fine stitching for precision and security.
• Incorrect because it includes statement B.