Help with a and b please!

1-cos (X 1-cos (23) a) Use the first 3 variables in the Maclaurin series for x2 to estimate the integral Jo b) A stable system is described with the nonlinear differential equation: "+In(y+1) = In2, y(0) = 0, t20 The differential equation must be linearized by the stationary value ys = lim (y(t)) t-00 The liveatized differential equation can be written as one of the following answers: 1) y' + 1/2y = 0 2) 2y' + y = 1 3) 2y' + 2y = 1 4) y'+1/2y = 1 5) None of the above