Answer:
I think its true
Step-by-step explanation:
Answer:
Step-by-step explanation:
L = W+9
area = LW = 36
(W+9)W = 36
W²+9W-36 = 0
W = -12, 3
-12 is an extraneous solution, so W = 3 inches
L = W+9 = 12 inches
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:
1.04719755 or π/3
Step-by-step explanation:
Hope this helps