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:
A: Since disjoint, P(up AND up AND up) = P(up) P(up) P(up) = .653= .27
A: Disjoint, so previous years have no effect on this year. 1-.65 = .35
A: Same direction; two different probabilities. P(up AND up) = .652 = .42. P(down AND down) = .352= .12. .42 + .12 = .55
Step-by-step explanation:
15 / 20 = 0.75. The answer is 0.75
Though you do not provide a diagram, I am going to give this a try by assuming that O is the center of the circle, OA is a radius, and angle AOB is a central angle that measures 88 degrees.
We want to find out the area of sector AOB. First, we need to find the area of the entire circle. The area of a circle is given by

and since the radius of this circle is equal to 1, the area is

Next we need to know what fraction of the circle sector AOB represents. The distance around the circle is 360 degrees but the central angle that intercepts arc AB is 88 degrees. That meas that the fraction of the circle the sector represents is given by

We multiply this by the area to obtain

which is the area of the sector.
Answer:
5
Step-by-step explanation:
a = 3; b = -2
a - b = 3 - (-2) = 3 + 2 = 5