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:
Step-by-step explanation:
I think in this question we have to find slope, if so, its y = 10x.
to find the slope just pick two numbers, i chose (2,20) and (7,70) and then put them in the slope formula y2-y1/x2-x1. That gave me 10. I hope its correct. :)
The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.
A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.
In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.
Hope this helps!
Answer:
5/8 cup
Step-by-step explanation:
Answer:
Slope = 4/3x; y-intercept = -1
Step-by-step explanation:
y + 1 = 4/3x
You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept
y + 1 = 4/3x
Subtract one from both sides
y + 1 - 1 = 4/3x - 1
y = 4/3x - 1
Now that we have the equation, you can now find the slope and y-intercept
y = mx + b; m is the slope and b is the y-intercept
So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1
