I just watched all 3 of your Newton's Method videos, and I am left with one question. How would you used the formula to approximate the root of a function between two points, rather than just using the first given point? An example would be: find x^3+3x^2-1=0, between the points -4 and 0.
@lucasm42999 жыл бұрын
Use the midpoint between that interval.
@potong-icecream5 жыл бұрын
Tutorial question: The velocity flow, v (m/s) of a liquid along a channel satisfies v^3 - 6 v^2 - 348v + 3112 = 0 . Given that there is a root of this equation between v =10 and v = 11, find this root correct three decimal using the Newton Raphson Method (ANS: 10.196m/s) Anyone can help me with this?
@gremlinextreme10113 жыл бұрын
@voidzilla It requires the stronger condition of differentiability to even bother considering using Newton's Method
@mamodibanemasemola31668 жыл бұрын
thanks Patrick
@bkramkoirala7 жыл бұрын
after 54 iterations x_54=3 i.e. one of the solution, am I right?
@DanicaMarieMusic12 жыл бұрын
Thank you!
@fahadalbasheer478511 жыл бұрын
Thank you so much helpful
@zhiwarsami57376 жыл бұрын
Thanks a lot.
@ICOD7311 жыл бұрын
You're a life saver
@kimin886411 жыл бұрын
Thank you
@michaelteach837610 жыл бұрын
so what are we trying to find the roots of here?
@shakyabandara49106 жыл бұрын
Thanks
@lisaakn57968 жыл бұрын
is the first guess given in the question??? and if it's not ..how can i find it?
@socialistguerrilla7737 жыл бұрын
its a guess , here on purpose its the root of the derivative function so he can illustrate when newtons method doesnt work. But it is just a GUESS , so it shoudnt really matter (as long as its NOT the turning point of the function like here). Usually an initial guess is given in the question for clarity
@dejanpopovic79037 жыл бұрын
Is this the only scenario where Newtons method would fail?
@Beijing4Life13 жыл бұрын
I would really go to the college that you are currently teaching at
@voidzilla13 жыл бұрын
Don't forget that if f(x) is not continuous Newtons Method will fail.
@kennedysamarakody49258 жыл бұрын
I have a question about this....I am taking Numerical Analysis in college, and my professor gave me this assignment. The function I am dealing with is X^3-X, and to find two more points where the function does not converge to a root.....I found out when the derivative=0, it does not converges....this gives two solution. I found two more values where it does not converges, when N(N(x))=-x....I compose the newton method function with itself and set that equal to -x....this gives me two more numbers where the function does not converge....because geometrically its an infinite loop at N(N(x))=-x. My question here is, how can I find two more roots? My prof told me we can find infinite amount of value where it fails to converge....He told us to find N^4(x), where we compose N(N(x)) with itself and set that equal to -x....I tried doing that, and it gave me a convoluted function...degree 9 so I couldnt solve it. I need help? -thank you in advance.
@JimmyThePhysicist7 жыл бұрын
I am sorry dude? I checked this and it worked I got the same solution with newton raphson and the quadratic. I can say that the quadratic formula gave a better answer but the newton method gave me 10 digits same answer!!!!