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Here is the rest of it:

Run Newton for the each following. Perform the algorithm until 5 palce accuracy is achieved.Observer the results and offer wise observations.

1. Solve x^2+x+1=0 with x₁=1 and then x₁=-1

2. Solve x^3+3x+1 with x₁=1

3. Solve cos(x)=0 with 2 different initial

4. Solve x^4+x^3+2x-4 = 0

I got stuck on 3 and 4 right now. Please check out my file and help me correct if something wrong. Thanks guys.

the thing is, i really don't know he want me to do with build-in command or what, i saw there is the NewtonsMethod command on the Student package and it works great. I just really don't know what the teacher want, he gave us some example about this one but all with the loops command. :(

I got it. Thanks alot for your help sir.

This is my function: 2*x^5-5*x^4+3*x^3-3*x^2+x+2

It seems like this function not work when i use CriticalPoints command. Because when i try CriticalPoints command with (5*x^4+3*x^3-3*x^2+x+2) i got answer, but when i put (2*x^5-5*x^4+3*x^3-3*x^2+x+2) Maple didn't give any answer but the tab i'm working on was frozen.
 

Thanks for your respond. I did the thing you said, i tried it with some other function, it works. But when i put my function on it, seem like maple stop working :(

Yes I did use help and examples. But i don't know why when i type in my function i cannot get the answer. That's why i ask for help.

Thanks for your help. It was awesome solution for my problem. Thanks alot. Can I have another question??? I'm trying to find all critical points of p(x) (Same function) and I typed:

criticalpoints(p(x));

and maple answered:

criticalpoints(2*x^5-5*x^4+3*x^3-3*x^2+x+2)

I cannot find the answer :(. Please help, I'm new with maple.

Please check it out and see is it a right way?

View 7853_questipm.mw on MapleNet or Download 7853_questipm.mw
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Thank you. I will give it a try