Answer:
![y_2=0.512](https://tex.z-dn.net/?f=y_2%3D0.512)
Step-by-step explanation:
We are given that
Step size=0.2
Initial value problem
y'=2-3xy
f(x,y)=2-3xy
y(1)=0
We have to find the value of ![y_2](https://tex.z-dn.net/?f=y_2)
Euler's method of approximation
![y_{n+1)=y_n+hf(x_n,y_n)](https://tex.z-dn.net/?f=y_%7Bn%2B1%29%3Dy_n%2Bhf%28x_n%2Cy_n%29)
We have ![y_0=0,x_0=1](https://tex.z-dn.net/?f=y_0%3D0%2Cx_0%3D1)
Substitute the value then we get when n=1
![y_1=y_0+hf(x_0,y_0)](https://tex.z-dn.net/?f=y_1%3Dy_0%2Bhf%28x_0%2Cy_0%29)
![y_1=0+(0.2)(2-3(1)(0))](https://tex.z-dn.net/?f=y_1%3D0%2B%280.2%29%282-3%281%29%280%29%29)
![y_1=0.4](https://tex.z-dn.net/?f=y_1%3D0.4)
![x_1=x_0+h=1+0.2=1.2](https://tex.z-dn.net/?f=x_1%3Dx_0%2Bh%3D1%2B0.2%3D1.2)
![y_2=y_1+hf(x_1,y_1)](https://tex.z-dn.net/?f=y_2%3Dy_1%2Bhf%28x_1%2Cy_1%29)
![y_2=0.4+0.2(2-3(1.2)(0.4))](https://tex.z-dn.net/?f=y_2%3D0.4%2B0.2%282-3%281.2%29%280.4%29%29)
![y_2=0.4+0.2\times 0.56](https://tex.z-dn.net/?f=y_2%3D0.4%2B0.2%5Ctimes%200.56)
![y_2=0.4+0.112=0.512](https://tex.z-dn.net/?f=y_2%3D0.4%2B0.112%3D0.512)
![y_2=0.512](https://tex.z-dn.net/?f=y_2%3D0.512)
Answer:
y= -4 - 1x
Step-by-step explanation:
You would divide 12 and 3x by -3. 12 divided by -3 is -4. 3x divided by 3 would be negative 1, or -x. Therefore, the slope intercept form would be y = -4 - 1x.
If Anouk does 150 J of work using a hammer to pull a nail out of a piece of wood, and the hammer does 105 J of work on the nail then the efficiency of the hammer is 70%
<h3>What is efficiency ?</h3>
Efficiency is the ability to avoid wasting materials, energy, efforts, money, and time in doing something or in producing a desired result.
Given that Anouk does 150 J of work using a hammer to pull a nail out of a piece of wood, and the hammer does 105 J of work on the nail.
Efficiency of hammer can be calculated as
efficiency = output obtained / input given
E=105/150
E=7/10
E=0.7
Converting into percentage
![E=0.7\times100\%\\\\E=70\%](https://tex.z-dn.net/?f=E%3D0.7%5Ctimes100%5C%25%5C%5C%5C%5CE%3D70%5C%25)
If Anouk does 150 J of work using a hammer to pull a nail out of a piece of wood, and the hammer does 105 J of work on the nail then the efficiency of the hammer is 70%
To learn more about efficiency visit : brainly.com/question/477376
8 plus 8 is 16. 5 plus 5 is 10. 10 plus 16 is 26. 26cm.