What's is 9 45/50 as a decimal
1 answer:
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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:
x = - 3 ±
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±