Final answer:
Quantification techniques requiring live cells include metabolic activity and microscopic counts with vital dyes, as well as Coulter counter measurements which distinguish live from dead based on dye uptake.
Step-by-step explanation:
The quantification techniques that require live cells include metabolic activity, which measures cell activity by following the production of metabolic products or disappearance of reactants. Techniques such as microscopic counts using vital dyes can differentiate live from dead cells, while a Coulter counter can also count live cells since these cells will not uptake certain dyes that dead cells will. However, methods like turbidity measurement and dry weight do not distinguish between live and dead cells and therefore do not necessarily require live cells.