Answer:
a) 8.13
b) 4.10
Step-by-step explanation:
Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1
In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)
On integrating R'(t)
∫ (2/t+1 + 1/√t+1)dt
In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.
∫ (2/t+1 + 1/√t+1)dt
= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt
= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt
= 2ln(t+1) + 2(t+1)^1/2 + C
= 2ln(t+1) + 2√(t+1) + C
a) For total reactions from t = 1 to t = 12
When t = 1
R(1) = 2ln2 + 2√2
≈ 4.21
When t = 12
R(12) = 2ln13 + 2√13
≈ 12.34
R(12) - R(1) ≈ 12.34-4.21
≈ 8.13
Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.
b) For total reactions from t = 12 to t = 24
When t = 12
R(12) = 2ln13 + 2√13
≈ 12.34
When t = 24
R(24) = 2ln25 + 2√25
≈ 16.44
R(12) - R(1) ≈ 16.44-12.34
≈ 4.10
Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10
Answer:
The correct answer is option C. 3/5= 0.60
Step-by-step explanation:
It is given that,the Venn diagram shows sports played by 10 students.
event A = The student plays basketball.
event B = The student plays soccer
<u>To find P(A|B))</u>
P(A) = 6
P(B) = 5
P(A ∩ B) = 3
We have P(A|B) = P(A ∩ B)/P(B)
= 3/5
= 0.6
Therefore the correct answer is option C. 3/5= 0.60
$478 by using the provided formula ...
Explanation : income = $523 , expense = $ 45 , profit =523-45= 478
The answer is B because I just took the quiz.
1.19p+3.18≤10.00 can be used to determine the pounds of peaches Albert can buy.
Step-by-step explanation:
Given,
Cost of one pomegranate = $1.59
Cost of two pomegranate = 1.59*2 = $3.18
Cost of peaches per pound = $1.19
Cost of p pounds of peaches = 1.19p
Total amount of spent = $10.00
Cost of p pounds of peaches + Cost of two pomegranates ≤ Total to spend
1.19p+3.18≤10.00 can be used to determine the pounds of peaches Albert can buy.
Keywords: inequality, addition
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