Answer:
108
Step-by-step explanation:
237-129= 108
hope it helps
Answer:
8.26
Step-by-step explanation:
you can solve this by putting x for blank
x-5.27=2.99
solve for x
x-5.27+5.27=2.99+5.27
x=8.26
Answer: Less than.
Step-by-step explanation:
is less than 4 because
is 16. And
is 8.
Answer:
The first and second iteration of Newton's Method are 3 and
.
Step-by-step explanation:
The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form
based on the following formula:
![x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}](https://tex.z-dn.net/?f=x_%7Bi%2B1%7D%20%3D%20x_%7Bi%7D%20-%5Cfrac%7Bf%28x_%7Bi%7D%29%7D%7Bf%27%28x_%7Bi%7D%29%7D)
Where:
- i-th Approximation, dimensionless.
- (i+1)-th Approximation, dimensionless.
- Function evaluated at i-th Approximation, dimensionless.
- First derivative evaluated at (i+1)-th Approximation, dimensionless.
Let be
and
, the resultant expression is:
![x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}](https://tex.z-dn.net/?f=x_%7Bi%2B1%7D%20%3D%20x_%7Bi%7D%20-%5Cfrac%7Bx_%7Bi%7D%5E%7B2%7D-8%7D%7B2%5Ccdot%20x_%7Bi%7D%7D)
First iteration: (
)
![x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%202-%5Cfrac%7B2%5E%7B2%7D-8%7D%7B2%5Ccdot%20%282%29%7D)
![x_{2} = 2 + \frac{4}{4}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%202%20%2B%20%5Cfrac%7B4%7D%7B4%7D)
![x_{2} = 3](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%203)
Second iteration: (
)
![x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}](https://tex.z-dn.net/?f=x_%7B3%7D%20%3D%203-%5Cfrac%7B3%5E%7B2%7D-8%7D%7B2%5Ccdot%20%283%29%7D)
![x_{3} = 2 - \frac{1}{6}](https://tex.z-dn.net/?f=x_%7B3%7D%20%3D%202%20-%20%5Cfrac%7B1%7D%7B6%7D)
![x_{3} = \frac{11}{6}](https://tex.z-dn.net/?f=x_%7B3%7D%20%3D%20%5Cfrac%7B11%7D%7B6%7D)