Answer:
Oof
Step-by-step explanation:
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
.
Hello from MrBillDoesMath!
Answer:
3/tan(35) (approximately 4.3)
Discussion:
From plane trigonometry
tan (35) = (side opposite angle )/(side adjacent angle)
= 3 / ? (*)
Multiply both sides of (*) by ? to get
? tan(35) = 3/? * ? = 3
Divide both sides by tan(35) to get
? = 3/tan(35)
= 3 /(.700 ) approximately
= 4.3
Thank you,
MrB