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Solve the Problem xx Milligrams of a Drug, Is Given By D(x)=8x+5D^{\prime}(x)=\frac{8}{x+5}

Question 75

Multiple Choice

Solve the problem.
-The second derivative of a person's body temperature, with respect to the dosage of xx milligrams of a drug, is given by D(x) =8x+5D^{\prime}(x) =\frac{8}{x+5} . One milligram raises the temperature 1.5C1.5^{\circ} \mathrm{C} . Find the function D(x) D(x) giving the total change in temperature as a function of xx .


A) D(x) =ln8x+5+12.8\mathrm{D}(\mathrm{x}) =\ln \left|\frac{8}{\mathrm{x}+5}\right|+12.8
B) D(x) =8lnx+512.8\mathrm{D}(\mathrm{x}) =8 \ln |\mathrm{x}+5|-12.8
C) D(x) =8lnx+5+1.5D(x) =8 \ln |x+5|+1.5
D) D(x) =ln8x+51.5\mathrm{D}(\mathrm{x}) =\ln \left|\frac{8}{\mathrm{x}+5}\right|-1.5

Correct Answer:

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