Leila and Joe are two partners in a business. Leila makes $4 in profits for every $5 that Jo makes. If Jo makes $35 profit on th
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Answer:
the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.
Step-by-step explanation:
We are given the following information:
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in
Thus, we are given the time interval [0,12] for t.
- We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
- The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.
First, we differentiate C(t) with respect to t, to get,
Equating the first derivative to zero, we get,
Solving, we get,
At t = 0
At t = 2
At t = 12
Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.
Answer:B. 2x^2 + 4x - 1 - 9/4x + 1
Step-by-step explanation:
f(x) = 8x^3 + 18x^2 − 10
g(x) = 4x + 1
We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.
The correct answer is
2x^2 + 4x - 1 - 9/4x + 1
