Question: e) Write down the rst two nonzero terms in the Maclaurin series expansion of tan(:r). [2] f) Find the critical points and plot f (x)

e) Write down the rst two nonzero terms in the Maclaurin series expansion of tan(:r). [2] f) Find the critical points and plot f (x) = $2211 [3] g) Find the eigenvalues and eigenvectors of the following matrix [3]: 2 1 1 2 h) Find the general solution for this ODE [3]: d2?! d3! 2 _ _ 2 _ = x (13:2 d3: 33/ 3e

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