We find the base of the rectangles by taking the difference between the interval endpoints, and dividing by 2.
Base of rectangle = (6 - 2) / 2
= 2
The area of the first rectangle:
(4 - 2)f(4) = 2[4 + cos(4π)]
The area the second triangle:
(6 - 4)f(6) = 2[6 + cos(6π)]
Now just compute the two areas and combined them. That will give you the estimated under the curve.
To evaluate the midpoint of each rectangle, we take the midpoint of the base lengths of each rectangle. This midpoint is the x value. Then evaluate the function at that x value.
The midpoint of the first rectangle is x=3. Evaluate f(3).
The midpoint of the second rectangle is x=5. Evaluate f(5).
I’ve attached my work...
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Answer: $547200
Median salary of masters older is 68,100
Total after 36 years= 68,100*36 = $2,451,600
Median Salary of BSc holder is $52,900
Total median salary after 36 years is 52,900*36 = 1,904,400
The difference is $2,451,600-1,904,400 = 547,200
The person with Masters will earn $547,200 after 36 years
Step-by-step explanation:
Answer:
The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).
Step-by-step explanation:
Let the three consecutive odd integers be: 
The condition given is:
![4[x-2+x+x+2]=3x(x+2)-765](https://tex.z-dn.net/?f=4%5Bx-2%2Bx%2Bx%2B2%5D%3D3x%28x%2B2%29-765)
Solve this for <em>x</em> as follows:
![4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0](https://tex.z-dn.net/?f=4%5Bx-2%2Bx%2Bx%2B2%5D%3D3x%28x%2B2%29-765%5C%5C4%5Ctimes%203x%3D3x%5E%7B2%7D%2B6x-765%5C%5C3x%5E%7B2%7D-6x-765%3D0%5C%5Cx%5E%7B2%7D-2x-255%3D0%5C%5Cx%5E%7B2%7D-17x%2B15x-255%3D0%5C%5Cx%28x-17%29%2B15%28x-17%29%3D0%5C%5C%28x-17%29%28x%2B15%29%3D0)
- If
then the value of <em>x</em> is 17.
The odd numbers are:
- If
then the value of <em>x</em> is -15.
The odd numbers are:
Thus, the consecutive odd integers are (15, 17, 19) or (-17, -15, -13).
There are different types of equations of lines.
There are these three main forms, but I'll focus on just 2:
Slope-Intercept Form:
y = mx + b
Where,
"m" = slope
"b" = y-intercept
Point-Slope Form:
y - y1 = m(x - x1)
Where,
"m" = slope
"y1" = A y point on the graph
"x1" = A x point on the graph that correlates with the y value.
y = 6x - 12
Is in the same form of Slope-Intercept:
So,
y = 6x - 12
m = 6
b = -12
So our slope is,
6
Keep in mind if it was a fraction (Example: 6/5, then the slope is 6/5) the slope will be the entire fraction.
Also remember slope is the RISE over the RUN meaning it is the y value over the x value. So in this case we would go UP 6 and right 1 (because 6 is understood as 6/1).
