Answer:
The answer to this question can be defined as follows:
The Lower sum ="0.659"
The Upper sum ="0.859"
Step-by-step explanation:
In the given equation there is some mistype error, so the correct equation and its solution can be defined as follows:
Equation:
![y= \sqrt{1-x^2}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%7B1-x%5E2%7D)
calculating the Δx:
![=\frac{(1 - 0)}{5}\\\\=\frac{1}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%281%20-%200%29%7D%7B5%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D)
calculating the Upper sum value:
![=\bigtriangleup x \times (f(0) + f(\frac{1}{5}) + f(\frac{2}{5}) + f(\frac{3}{5}) + f(\frac{4}{5})) \\\\= \frac{1}{5} \times (1 + \sqrt{(\frac{24}{25})} + \sqrt{\frac{21}{25}} + \frac{4}{5} + \frac{3}{5})\\\\= 0.859](https://tex.z-dn.net/?f=%3D%5Cbigtriangleup%20x%20%20%5Ctimes%20%28f%280%29%20%2B%20f%28%5Cfrac%7B1%7D%7B5%7D%29%20%2B%20f%28%5Cfrac%7B2%7D%7B5%7D%29%20%2B%20f%28%5Cfrac%7B3%7D%7B5%7D%29%20%2B%20f%28%5Cfrac%7B4%7D%7B5%7D%29%29%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B5%7D%20%5Ctimes%20%20%281%20%2B%20%5Csqrt%7B%28%5Cfrac%7B24%7D%7B25%7D%29%7D%20%2B%20%5Csqrt%7B%5Cfrac%7B21%7D%7B25%7D%7D%20%2B%20%5Cfrac%7B4%7D%7B5%7D%20%2B%20%5Cfrac%7B3%7D%7B5%7D%29%5C%5C%5C%5C%3D%200.859)
calculating the Lower sum value:
So you follow the steps and i hope this will be easy for you .
Answer:
x = 6
Step-by-step explanation:
We want to solve:
![\frac{-2}{3} x+9=\frac{4}{3} x-3](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B3%7D%20x%2B9%3D%5Cfrac%7B4%7D%7B3%7D%20x-3)
First, isolate the variable by moving all the terms with x to one side and all the constants to the other side:
![\frac{4}{3}x +\frac{2}{3} x=9+3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%20%2B%5Cfrac%7B2%7D%7B3%7D%20x%3D9%2B3)
Combining the fraction on the left, we get:
![\frac{6}{3} x=12](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B3%7D%20x%3D12)
6/3 = 2, so:
2x = 12
Dividing both sides by 2 yields:
x = 6