Linearization problem

  1. 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.
     
  2. jcsd
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