Will someone please help me with the math question below and show the calculations so I can get a better grip on the concept.

Question

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function  where the time, t, is hours after injection.

Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations.

Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.

Answer 1

-10t² + 50t ≥ 0.

Graphing is up to you