(a) for what values of k does the function y = cos(kt) satisfy the differential equation 16y'' = −81y?
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Answer:
The number of tablets that can be prepared is 3076.
Step-by-step explanation:
The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:
The percentages of each component in the formula are:
Acetaminophen:%
Chlorpheniramine maleate:%
Dextromethorphan hydrobromide:%
If 1 Kg= mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:
Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:
Since each tablet weighs 342 mg, the number of tablets that can be prepared is:
Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.