# linearization

1. ### Linearization problem

https://ibb.co/BcY1dxJ Find the best function f(x) and value a so that the linearization of f(x) at x=a can be used to estimate âˆš16.2. Find the linearization of f(x) at a. Use the linear approximation from (b) to estimate âˆš16.2. I think I can figure out the last two, but I'm not sure...
2. ### Linearization URGENT HELP NEEDED

PLEASE CAN SOMEONE HELP ME FIND THE FIXED POINTS OF THESE DIFFERENTIAL EQUATIONS PLEASE AND THEN HOW I LINEARIZE THEM! dR --- = BR - ARF dt dF --- = -DF + ARF dt A,B, D are constants.
3. ### What is the local linearization (#2)

What is the local linearization of f(x) = e^x^2 near x = 1 Do not approximate any of the values in your formula when entering your answer below. ??
4. ### Linearization problem

Hi If I have 2 different systems of coordinates: polar and cartesian. And I want to linearize a function f(x,y) in cartesian coordinate: f(x,y)= (df/dx)x + (df/dy)y (I) And in polar coordinate: f(p,o)= (df/dp)p + (df/do)o (II) The linearization in (I) is equal to (II)? if is...
5. ### "Linearization" of Beal problem

Hi, I found a method to reduce a n-th power of integers problem, to a linear problem. It involves my "Step Sum" I already post here. Step sum are Sum that start from a lower limit LL and rise to an Upper limit UL "jumping" Step = S, of same value of LL (Lower limit) Also the Step S must be...
6. ### Linearization of sine wave

Hello, I am currently working on a project which involves pulling data from a specific axis of a phones accelerometer and feeding that data into an algorithm that yields relevant results to the project. Currently the results are not desirable because the data pulled from the device creates a...
7. ### linearization

Find the linearization of f(x) = tan x at the point a = =4. Use this linearization to approximate tan 44  Hint: The angle of  radians is equal to 180  I understand how to use linearization. I am just a little stuck on the trigonometry.
8. ### Linearization Problem Stumping Me

The problem is f(x)\,=\,cos^{\small{-1}}(x)\,,\,a\,=\,0. What I have done so far is I have found f at that spot a which is equal to \frac{\pi}{2}. Then I said f'\,=\,\frac{-1}{\sqrt{1-x^2}}. Next I tried to plug a into f' and got a non-real result. Am I doing something wrong? How can I set up a...
9. ### Difficult Local Linearization Problem

The "rule of 70" is used o estimate the number of years it will take for the money in a bank account to double based of the interest rate, i%. The rule states that the amount will take 70/i years to double. Find the local linearization of ln(x+1) and explain how this proves that the rule works...
10. ### Linearization problem

This one I was way off. Could someone show me the steps please, I will try something different and hope it works. Find the linearization of f(x) = 3sec(2x) at a = (pi/6)
11. ### Linearization Help

Need help on how to linearize the attachment below! Thanks.
12. ### Linearization and Differentials help

1. If f(x) = cos^2 x and a = (pi/6), find the linearization at (pi/6) and check. 2. Use differentials to find dy if y = (x^2 - 2)/(2x - 5), evaluate dy when x = 2 and dx = 0.01 and check. 3. Use differentials to find how accurately we must measure the radius of a cone whose height is twice its...
13. ### Linearization error

Hi, I have a short question about linearization. This is the problem that I am working on: Linearize the nonlinear equation z = x * y at the operating point x_bar = 6 and y_bar = 11. Find the error when this linearized model is used to calculate z at x = 5 and y = 10. I am confident that I...
14. ### Linearization :( HELP!

Using a calculator or computer, generate a graph like the one shown below by graphing y=e^(2x)-1 and y=2x for -0.5 < x < 0.5. (What is the relationship between y=e^(2x)-1 and y=2x?) So...I'm given a graph with 2 lines here (1 curved and 1 straight - would that be the tangent line or something?)...
15. ### Linearization

Hey. Just looking for help on the following problems. Thanks :) Thanks Again
16. ### Non-Linear First Order ODE: Critical Point Linearization

Question: dx/dt = x - y + (x^2) - xy dy/dt = -y + (x^2) - Determine the critical points for the equation, - Determine the linearized system for each critical point and discuss whether it can be used to approximate the behaviour of the non-linear system. What is the type and stability of each...
17. ### partial ordering, linearization

Every partial ordering \leq on a set P has a linearization, i.e., some linear ordering \leq' of P exists such that x \leq y \Rightarrow x \leq' y. This exercise indicates to use the axiom of choice. I do not see how to prove this. I know that a partial ordered set is reflexive, transitive...
18. ### Linearization of a non-linear ODE

Hi folks! How can we linearize the following D.E. by using operating point analysis ? (a*h+b*h^2)dh/dt+10*h^(1/2)=q(t) where q and h are functions of t. Note that finally we should find A*d?h/dt+B?h=?q where ?h and ?q are small deviations in h and q respectively. A=? B=?
19. ### linearization

I am approximating functions using taylor series, but I am confused on how to derive it. So say I can use a degree 1 function p(x) to approximate ln(x) at 1. I want p(1) = ln(1) p'(1) = ln'(1) I can get a line by definition of slope p(x) = 0 + (x-1) But for degree 2 it gets complicated...