A 5 m wide rectangular channel carries a flow of 20 m³/s. The slope of the channel is 0.005 and the Manning’s n is 0.03. The flow encounters a 0.5 m step up that is 0.1 m long. The depths far upstream and downstream are normal.

1. Classify this channel
2. Qualitatively sketch this scenario, label gradually varied flow curves and provide appropriate depths.
3. Draw this scenario on an E-Y cycle graph, and label all depth changes.

Discuss the evolution of the U.S current account deficit and net foreign assets: how much of the evolution of the deficit (as a share of GDP) is due to changes in private savings, public savings (fiscal deficits) and investment rate (all as a share of GDP) and how much has the role of different factors changed over time? - Based on this analysis, are the U.S. current account and external debt sustainable? Does the U.S. differ or not from emerging markets or not and why?

Rising Edge Detector: The rising-edge detector is a circuit that generates a short one-clock-cycle tick when the input signal changes from 0 to 1. It is usually used to indicate the onset of a slow time-varying input signal. Moore machine state diagram for the rising-edge detector is shown in Figure 6. a. Draw the state diagram for the rising edge detector b. Adapt the Code Example 1 to implement the detector in Verilog

3. Using the money supply (M1) model developed in class, explain the likely effects on the money supply of the following. Be sure your answer indicates what changes in the model. (4 points each)

a. the U.S. Treasury sells new U.S. bonds at auction and does not spend the proceeds

b. more stores are willing to accept debit or credit cards for transactions

c. banks start paying a higher interest rate on checkable deposits

Suppose government puts a tax on investment at rate τ. That is, you get only 1 − τ apple tree next period if you invest one apple this period. Derive the investment demand equation (analog of Equation 4.1 in Lecture 5). What would be the effect of this tax on net exports and real exchange rate in an open economy in long run and very-long run? Explain in detail by showing the changes in the relevant markets.

A coil is wrapped with 291 turns of wire on the perimeter of a square frame of sides 25.3 cm. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 2.05 Ohm. A uniform magnetic field is turned on perpendicular to the plane of the coil. If the field changes linearly from 0 to -0.0491 Wb/m2 in a time of 1.07 s, find the magnitude of the induced emf in the coil while the ?eld is changing. Answer in units of V

I am doing a paper on stressors and my stressor is my job. I have had an arguement with a superior who is know for being a bully, but i stood up to him and could end up unemployed. Having four kids, a wife, and bills to pay, this could be devastating. Using this stressor, what physiological changes occur in the brain due to the stress response? And what
emotional and cognitive effects might occur due to this stressful situation?

Have you ever been through a change initiative (large or small) at your place of work? Please describe briefly how the process went. Do you think it could have been done differently, and if so, what would you have done? Offer suggestions to your classmates for ways that you might have approached their changes. If you do not work, you may use a change you experienced in another environment.