The output y and input x of a device are related by y = x + 1.4x3 . (a) Find the values of the output for steady-state operation at the two operating points xo = 1 and xo = 2. (b) Obtain a linearized model for both operating points and compare them.

a) , , b) , ,

Step-by-step explanation:

a) The values of the output for steady-state operation are:

b) The formula for linearization is:

The first derivative of the formula evaluated at x = 1 is:

The linearized model is:

The output at x = 2 is presented below:

Linearized model offers reasonable approximations for small intervals.

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step-by-step explanation: vsfdvsfvd