Asked by Anonymous
Use Newton's method to approximate a root of the equation cos(𝑥2+5)=𝑥3 as follows:
Let 𝑥1=1 be the initial approximation.
The second approximation 𝑥2 is____
Let 𝑥1=1 be the initial approximation.
The second approximation 𝑥2 is____
Answers
Answered by
oobleck
f(x) = cos(x^2+5)-x^3
f'(x) = -2x sin(x^2+5)-3x^2
x_n+1 = x_n - f(x_n)/f'(x_n)
x0 = 1
n...........x_n
1 0.98368
2 0.98315
3 0.98315
f'(x) = -2x sin(x^2+5)-3x^2
x_n+1 = x_n - f(x_n)/f'(x_n)
x0 = 1
n...........x_n
1 0.98368
2 0.98315
3 0.98315
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.