SOLUTION: The concentration "C" of a chemical in the bloodstream "t" hours after injection into the muscle tissue is given by C= (3t^2 +t)/t^3 +50

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Question 1009483: The concentration "C" of a chemical in the bloodstream "t" hours after injection into the muscle tissue is given by C= (3t^2 +t)/t^3 +50

a. What domain for the function makes sense given the context of the problem?
c. Use your graphing calculator to approximate the time when the concentration in the bloodstream is the greatest.
d. Determine the horizontal asympotote of the function (if any) and interpret its meaning in the context of the problem.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The concentration "C" of a chemical in the bloodstream "t" hours after injection into the muscle tissue is given by C = (3t^2 +t)/(t^3 +50)
Solve:: t^3 = -50 ;; t = -3.68
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a. What domain for the function makes sense given the context of the problem?
Ans: All positive Real Numbers.
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c. Use your graphing calculator to approximate the time when the concentration in the bloodstream is the greatest.
graph%28400%2C400%2C-10%2C25%2C-5%2C5%2C%283x%5E2%2Bx%29%2F%28x%5E3%2B50%29%29
Ans: t = 4.486
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d. Determine the horizontal asympotote of the function (if any) and interpret its meaning in the context of the problem.
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HA:: y = 0x^3/1*x^3 = 0/1 = 0
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Cheers,
Stan H.
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