# newton

1. ### Generalized Mediant. New root approximating methods

Allow me to introduce a very simple arithmetical operation: The Arithmonic Mean, which surprisingly and from the evidences at hand, has not been used in mathematics since ancient times up to now. I use the word 'Surprisingly', because it is a generalization of the 'Mediant' operation which is...
2. ### Newtons Third Law

in each illustrated case, the contact between the blocks and the surfaces are rough (except where indicated) The blocks are at rest and the strings are taut. Find the tension in the string and the frictional force exerted by each surface on the block with which it is in contact. I need help with...
3. ### Newton's Method

Hi, I can understand the application of Newtons method, (I think) - however doesn't the equation call for the differentiation of f(x) ie the f'(x of k)? I have read through the other posts in relation to this method however remain confused. We have not done derivatives as yet. My equation is...
4. ### Newton's Law of Cooling Problem

At 1 p.m. a thermometer reading 80F is taken outside where the temperature is constant. At 1:05 p.pm. the thermometer reads 35F more than the surrounding temperature. Forty minutes after being taken outside the thermometer reading differs fromt he outside temperature by 15F. Determine the...
5. ### Linear Speed - Torque

Suppose the force Ft in the cord hanging from the wheel is given by the relation Ft = 3t - 0.2t^2 (newtons) where t is in seconds. If the wheel starts from rest, what is the linear speed of a point on its rim 8 s later? The Ft force is perpendicular to the wheel's (4 kg) radius = 33 cm. The...
6. ### Newton's method - Gaussian Elimination

Hi, I don't fully understand the use of Guassian Elimination in Newton's method.. What does it do and how does it help us?
7. ### Newton cotes formula problem

Hi everyone, Help me to solve this problem... (Please refer attachment for the problem.) By the method of undetermined coefficients i found a=c=1/6 and b=2/3 and alpha=gamma=2/3 and beta=-1/3. Also that both are exact for polynomials of degree<=3. But I cannot figure out which one is better...
8. ### Newton Raphson Method

Can someone check this is correct? Using the Newton Raphson method with X0=2 to find the root of the equation: x^3-x-1=0 (correct to 4.d.p) My answer is: f'(x)= 3x^2-1 xn+1= 2-x^3-x-1/3x^2-1 xn+1= 2-2^3-2-1/3(2^2)-1 x1= 17/11 x2= 17/11-(17/11^3)-17/11-1/3x(17/11^2)-1 = 1.3596
9. ### newton raphson method of differentiation

Hi I am trying to express the following function f(x)= x3-2x-2 using the newton raphson formula the solution that is given is 2x3+2/3x2-2 I am confused where the 2x3+2 is coming can any one explain where this comes from. Regards Kelly
10. ### Newton's recurrence relation

Hey guys, I'm not sure if this is the correct place to ask this question but here goes. See the attachment. This question has been giving me sleepless nights. The study guide I've been using hasn't really helped. Its been kicking my butt. I really need to understand this. Any help is...
11. ### Newton's method

Hello! I don't know how to solve this problem,using Newton's method: f(x)=x^5+3x+7 ,f(x)=2, x=1.
12. ### Newton's Method Problem

PROBLEM: Apply Newton’s Method to approximate the x-value of the indicated point of intersection of the two graphs. Express your answer so that it is accurate to as many decimal places as your Sharp EL-531 calculator will give you. Clearly identify your starting value and list your sequence of...
13. ### Newton's method, how do I know there is more than 1 solution?

I have a question. How is one supposed to know here that there are two answers in this problem? I started with some value (it was 2) and got one correct answers. And if I am solving this purely manually, then there's no convenient way to quickly check it (by graphing), as I understand?
14. ### Newton's Method and Order of Convergence - Numerical Analysis

Consider the function f(x) = (x^4) - x - 3 Clearly f(x) has a zero between 1 and 2 (a) If Newton's Method with p_0 = 1 is used to approximate the zero of f(x), then identify p_1 and p_2 (b) If Secant Method starting with p_0 = 1 and p_1 = 2 is used on f(x), then identify p_2. (c) Can the...
15. ### newton's second law of motion

Hi can you please help me? I don't know how to do this question. A sports car of mass 700kg increases its speed from 90km/h to 100km/h during a 5-second interval. The average combined forces of air resistance and road friction, D, at that speed is 200N. Determine the vector for the net force...
16. ### More Newton's Method

Can you answer the following question in detail as a guide for me to answer similar questions? Use x_0 to find the approximation to the solution to the cube root of x.
17. ### Newton's Method

There is a chapter in my single variable calculus textbook by the name Newton's Method. I decided to skip this chapter in my self-study of calculus because it made no sense to me. Can someone explain in simple words what is Newton's Method? What is this topic good for? Can you answer the...
18. ### Newton's Method

My textbook does a terrible job explaining Newton's Method. Can someone explain, in laymen terms, how to apply this method? I guess the best way is using a question.
19. ### IVP- Uniqueness Theorem and Newton's Law of Cooling

Hi guys, I would like some help on these problems please. I have a quiz soon, which is on this problem set. I can't get help tomorrow as I have classes all day. I have been really busy during the last few weeks on the family farm. I have hired a personal tutor, but we don't...
20. ### Newton's method ( Need to understand what's a ?) f(x)=x^2-a

Hello everyone , Just need help with this below One method for finding an approximate solution of an equation f(x) = 0 is Newton's method. This method consists of taking an initial approximation x1 to be the solution, and constructing the tangent line...