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Linearization problemby grothem
Tags: linearization 
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#1
Feb711, 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)(xa) 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*(x0) 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. 


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