(2x - y)(4x2 + 2xy + y2) =
8x3 + 4x2y + 2xy2 - 4xy2 - 2xy2 - y3 (combine and simplify like terms)
= 8x3 - y3
Answer:
The value of
.
Step-by-step explanation:
Consider the provided information.
The provided formula is ![f(x)=x^3+x+6](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2Bx%2B6)
Substitute
in above equation.
![f(x_1)=(-2)^3+(-2)+6](https://tex.z-dn.net/?f=f%28x_1%29%3D%28-2%29%5E3%2B%28-2%29%2B6)
![f(x_1)=-8-2+6](https://tex.z-dn.net/?f=f%28x_1%29%3D-8-2%2B6)
![f(x_1)=-4](https://tex.z-dn.net/?f=f%28x_1%29%3D-4)
Differentiate the provided function and calculate the value of ![f'(x_1)](https://tex.z-dn.net/?f=f%27%28x_1%29)
![f'(x)=3x^2+1](https://tex.z-dn.net/?f=f%27%28x%29%3D3x%5E2%2B1)
![f'(x)=3(-2)^2+1](https://tex.z-dn.net/?f=f%27%28x%29%3D3%28-2%29%5E2%2B1)
![f'(x)=13](https://tex.z-dn.net/?f=f%27%28x%29%3D13)
The Newton iteration formula: ![x_2=x_1-\frac{f(x_1)}{f'(x_1)}](https://tex.z-dn.net/?f=x_2%3Dx_1-%5Cfrac%7Bf%28x_1%29%7D%7Bf%27%28x_1%29%7D)
Substitute the respective values in the above formula.
![x_2=-2-\frac{(-4)}{13}](https://tex.z-dn.net/?f=x_2%3D-2-%5Cfrac%7B%28-4%29%7D%7B13%7D)
![x_2=-2+0.3077](https://tex.z-dn.net/?f=x_2%3D-2%2B0.3077)
![x_2=-1.6923](https://tex.z-dn.net/?f=x_2%3D-1.6923)
Hence, the value of
.
Answer:
-0.2084
Step-by-step explanation:
![log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084](https://tex.z-dn.net/?f=%20log_%7Bb%7D%28%20%5Cfrac%7B2%7D%7B3%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20log_%7Bb%7D%282%29%20%20-%20log_%7Bb%7D%283%29%20%20%5C%5C%20%20%5C%5C%20%20%3D0.3562%20-%20%200.5646%20%5C%5C%20%20%5C%5C%20%20%3D%20-0.2084)
Step-by-step explanation:
p(q-r) = pq - pr
Hope it helps
To find the difference between 0.5 and 10.05, do this:
10.05 - 0.5
The answer is that 0.5 is 9.55 m less than 10.05