Register to reply

Linearization problem

by grothem
Tags: linearization
Share this thread:
grothem
#1
Feb7-11, 09:50 PM
P: 23
1. The problem statement, all variables and given/known data
Linearize the equation

Vout = (10^v)*sin(x)

about x=0,0.1, and 1. Write the equation in both the original coordinates and the shifted (linearized) coordinates.


2. Relevant equations
y=f(a)+f'(a)(x-a)


3. The attempt at a solution
dVout/dx = (10^v)*cos(x)
evaluating that equation at x=0,0.1, and 1 gives me
10^v, 10^v*(.995), and 10^v*(.54) , respectively
therefore, Vout = 10^v*sin(0)+10^v*(x-0) for x=0, and similar for x=0.1, and 1. This doesn't seem right though, and I'm not sure how to write the equation in the shifted coordinates.
Phys.Org News Partner Science news on Phys.org
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds

Register to reply

Related Discussions
Linearization problem help Calculus & Beyond Homework 1
Do you understand what linearization means? Calculus & Beyond Homework 8
Linearization Introductory Physics Homework 2
Linearization of an Ode Calculus & Beyond Homework 0
Linearize this system Introductory Physics Homework 1