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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If you’re cutting it into half inch pieces, you’ll take the length of the roll and multiply it by 2, so 13•2=26
Answer: <em>y = 3/4 x + 8</em>
Step-by-step explanation: First you must find the slope of line k.
<em>y2 - y1</em>
<em>m = -----------</em> <em>The slope is 3/4</em>
<em> </em><em>x2 - x1</em>
Since the two lines are paralell you know that line h has the same slope.
Next you must find the y-intercept by replacing x and y with the values given by the point.
<em>y = 3/4x + ? -----> 12 = 3/4(4) + ?</em>
<em> 12 = 3 + 8</em>
The y-intercept is 8
Your equation for line h is <em> </em><em>y = 3/4 x +8 </em>
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<em>Hope this was helpful!</em>
Answer:
The answer to part B will be for length the mean is 2.08, the median is 2.6, and the mode is 2.6. For height the mean is 1.5, the median is 1.4, and there isn't a mode since no number repeat. It will the 0.6, 1.0, 1.4, 1.7, 2.8. Hope this helps!
Step-by-step explanation:
