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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So, I'm going to break it down to help you understand it a bit more.
If it starts at (0,-2) and crosses through (1,0) that means it moved to the right once and up twice. Which means, that the slope will be 2. If it were one it would be to the right 1 up one, if it were 4 it would be to the right 1 up 4, and finally if it were 1/2 it would be to the right 2 up 1.
So, your answer is C. or 2.
An example of a repeated decimal would be....
1.321321321321
basically a repeated decimal is a decimal that has a multiple of digits repeating over and over again giving you an infinite divisor.
For the first question part a. The volume of a round cake pan is V=πr^2h or 76.97. The volume of the rectangle pan is V=whl or 108. The rectangular pan has a larger volume.
For part b of the second question, for the rectangular cake you do. A=2(hl+hw)+wl or 114. For the circular cake it is 2πrh+2πr2-38.48 or 82.47.
The second question you asked is easy. The answer is 3, 4, 7, 9, 10, 11, 13
