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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Answer:
D
Step-by-step explanation:
Look at all possibilities then use all of them then find out which one matches the best.
Answer:
27 cubic in
Step-by-step explanation:
area of base (3x3) x height of the pyramid (3)
Answer:
Yes; domain: all real numbers; range: y
0
Step-by-step explanation:
1. Use the vertical line test to see if it is a function.
2. Figure out what the lowest and highest point x can be. In this case x can be any number
3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y
0
*Note: Domain are the x values & Range are the y values