1 Consider the transfer function: G(s) = 0.7(s2 + 2s + 2) s5 + 5s4 + 2s3 + 4s2 + 6 (a) Plot its poles and zeros in the complex plane. A computer program that calculates the roots of the polynomial (such as the command roots in MATLAB) can help you factor the denominator polynomial. (b) From the pole locations in the complex plane, what can be concluded about the output modes for any input change? (c) Plot the response of the output to a unit step input. Does the form of your response agree with your analysis for part (b)? Explain

In a unit cell of fcc structure, indicate the position of one of the tetrahedral interstitial sites by plotting the corresponding tetrahedron. do the same for one of the octahedral interstitial sites (in a separate fcc unit cell). mark the positions of all the tetrahedral and octahedral interstitial sites in the unit cells. how many equivalent tetrahedral sites and how many equivalent octahedral sites are contained in a fcc unit cell, respectively. what is the coordination number for a tetrahedral site and what is the coordination number for an octahedral site?