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Given a system with transfer function   a. Factor the transfer function into a product of simple gain, first-order lead, and second-order lag elements [5 pts] b. Determine the break frequency of the first order lead element. [5 pts] c.  Determine the magnitude (in dB) of the simple gain element. [5 pts] d. Determine the resonance peak and resonance frequency of the 2nd order lag element. [10 pts] e. Determine the steady-state output for an input

A system is described by a complex conjugate pair of roots. Which complex plane plot below correctly depicts the motion of the roots if the system damping ratio,

Match the quantum number with its physical significance. 

What is the enthalpy of reaction of Pb2+(aq) + 4OH-(aq) –> PbO2(s) + 2H2O(L)? Answer in kJ/mol. Do not type units. Do not use scientific notation. Please be careful with sig figs: there is no margin or error on this question. Enthalpy of formation (kJ/mol) Pb2+ (aq) -1.7 hydroxide (aq) -230.0 PbO2 (s) -277.4 water (L) -285.83 Please be careful with sig figs: there is no margin of error on this question.

The equation of motion for the system shown below is

What was oxidized in the following balanced equation?Mg(s) + 2 HCl(aq) –> MgCl2(aq) + H2(g)

Have a great summer! 

A second-order transfer function, 

UNA Corporation has the following capital structure.  Debt  20% Preferred Stock 5% Common Equity 75%   The company has a before-tax cost of debt of 7%. The company’s tax rate is 30%. UNA’s preferred stock pays an annual dividend of $3 per share. The preferred stock has a market price of $34 per share. The beta for UNA’s common stock is 1.20.  The market return is expected to be 11% and the risk-free rate is 2%. Answer the following questions and show your work. What is the firm’s cost of preferred stock? What is the firm’s cost of equity? What is the weighted average cost of capital? If UNA has the following proposed independent projects that are of the same risk as the firm, explain which projects should be selected. What is the optimal capital budget?             Project Cost of Project IRR A $8 million 12% B $4 million 10% C $10 million 8% D $6 million 6%  

King Corporation is considering the following projects.  The WACC is 10%.  The company is experiencing Capital Rationing and cannot afford to undertake both projects.  King Corporation should select Project A since its IRR is higher than Project B.  True or False?     Project A  Project B  Payback  2.56 years  2.25 years  NPV  $5,436  $6,785  IRR  16%  14%  PI  21.52%  24.37%