(10 marks) The quantity Q, in milli grams, of medication in a patient is modelled by...

 

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(10 marks) The quantity Q, in milli grams, of medication in a patient is modelled by the formula Q=238 (0.8) ¹/4 where t is in the number of hours since the inital dose. (a) What was the inital dose of the medication? (b) By what percentage is Q decreasing every 4 hours? (c) By what percentage is Q decreasing every 2 hours? (d) Calculate from t = 2 to t = 2 + . What are the units of this number? What does this number tell AQ At you? (e) Without further calculation¹, is the number from the previous part a good estimate of Q'(2)? ΔQ At (f) Determine Q'(2) to 3 sf by recomputing for shrinking values of h until the rate of change is not changing to 3 sf. (g) The level of medication is considered to be ineffective when there is 10% of the initial medication. At what time does this occur? (10 marks) The quantity Q, in milli grams, of medication in a patient is modelled by the formula Q=238 (0.8) ¹/4 where t is in the number of hours since the inital dose. (a) What was the inital dose of the medication? (b) By what percentage is Q decreasing every 4 hours? (c) By what percentage is Q decreasing every 2 hours? (d) Calculate from t = 2 to t = 2 + . What are the units of this number? What does this number tell AQ At you? (e) Without further calculation¹, is the number from the previous part a good estimate of Q'(2)? ΔQ At (f) Determine Q'(2) to 3 sf by recomputing for shrinking values of h until the rate of change is not changing to 3 sf. (g) The level of medication is considered to be ineffective when there is 10% of the initial medication. At what time does this occur?

Answer rating: 100% (QA)

Solution a To find the initial dose of the medication we can substitute t 0 into the given formula Q 238 08t4 Substituting t 0 Q 238 0804 Q 238 080 Q 238 1 Q 238 Therefore the initial dose of the medi... View the full answer