- #1
grothem
- 23
- 1
Homework Statement
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.
Homework Equations
y=f(a)+f'(a)(x-a)
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.