Answer:4(3)/(5)
Step-by-step explanation:
The area between the two functions is 0
<h3>How to determine the area?</h3>
The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
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Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres
<h3>Capacity of Items</h3>
Given Data
- Number of Cases of Detergent = 5
- Number of Bottles on the closet = 5*12 = 60 bottles
Required : the total litres
If each bottle is 3 litres in capacity and we have 60 bottles
Then the total amount in litres is
= 60*3
= 180 litres
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