Asked by Kim
the drop in blood pressure of a typical patient who is given a certain medication is given by F(x)=0.028x^2(19-x) where x is the amount of medication in cubic centimeters. What is the maximum drop in blood pressure for this patient?
Answers
Answered by
Reiny
could use the product rule, but in this case I would expand
f(x) = .532x^2 - .028x^3
f'(x) = 1.064x - .084x^2
= 0 for a max/min
x(1.064 - .084x) = 0
x = 0, which will produce the min
or
x = 1.064/.084 = 12 2/3 = 38/3
f(38/3) = .... button - pushing time
(I got appr 28.45)
f(x) = .532x^2 - .028x^3
f'(x) = 1.064x - .084x^2
= 0 for a max/min
x(1.064 - .084x) = 0
x = 0, which will produce the min
or
x = 1.064/.084 = 12 2/3 = 38/3
f(38/3) = .... button - pushing time
(I got appr 28.45)
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