What is the degree of 5x^3+3x^2-4x+1 3 4 5 6
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:
25
Step-by-step explanation:
Let n be the first integer.
Then the second integer will be (n + 1).
And the third will be (n + 2).
The sum is 78. Therefore:
Solve for n. Combine like terms:
So:
Therefore:
Therefore, the first integer is 25.
So our sequene is 25, 26, and 27.
The integer closest to zero will thus be 25.