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
Read more about areas at:
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Answer:
Angle Bisector
the arc was constructed were the two lines met making it to form an angle
Answer:
Use mathematical representations to support scientific conclusions and design solutions. ... It documents the existence, diversity, extinction, and change of many life
Step-by-step explanation:
Isolate the K by subtracting 19 from both sides
(19-19)-k=(4-19)
-k=-15
Get rid of the negative by dividing
-k/-1=-15/-1
k=15
Hope I helped ❤