(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Linearization problem

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