William Tell is said to have shot an apple off his son’s head with an arrow. If the arrow was shot with an initial speed of 50.0 m/s and the boy was 28.0 m away, at what launch angle above the horizontal did Bill aim the arrow? (Assume that the arrow and apple are initially at the same height above the ground. Hint: sin2θ = 2sinθcosθ)

2. The annual demand for liquor in a certain state is given by the following equation: QD = 500,000 – 20,000P

   where P is the price per gallon and QD is the quantity of gallons demanded per year. The supply of liquor is given by the equation:

   QS = 30,000P

   a.) Solve for the equilibrium annual quantity and price of liquor. Suppose that a $1.00- per-gallon tax is levied on the price of liquor received by sellers. Use both graphic and algebraic techniques to show the impact of the tax on market equilibrium. b)Calculate the excess burden of the tax, the amount of revenues collected, and the incidence of the tax between buyers and sellers.

The firm's production function is: q = K^0,5 L^0,5 and the total cost function is 10K + 10L = 10000 where q: output K: capital and L: labor

a. Calculate how many K and L are used for maximum production in 2 ways.

b. Draw the solution to the problem in graphic form with isoquant and isocost (TC) curves.

c. Draw it like No.2, add the following conditions in the same graph:

- if the price of L increases to 12

- if the price of L drops to 8

d. From the above problems, can you derive the labor demand function?

During the novel coronavirus (COVID-19) pandemic, people of all incomes from poor to rich are stocking up on different types of product they regard as necessary. Suppliers cannot increase their output quickly enough. Singapore government is concerned about profiteering and affordability in the markets concerned and is considering intervening. Using the demandsupply model, explain these phenomena in one or two markets of your choice. Advise which market interventions, if any, government should conduct in these markets.

During the novel coronavirus (COVID-19) pandemic, people of all incomes from poor to rich are stocking up on different types of product they regard as necessary. Suppliers cannot increase their output quickly enough. Singapore government is concerned about profiteering and affordability in the markets concerned and is considering intervening. Using the demandsupply model, explain these phenomena in one or two markets of your choice. Advise which market interventions, if any, government should conduct in these markets.

The past two months have led to an abundance of information on the novel disease COVID-19 and the virus that causes this disease, SARS CoV-2.

1.      Describe your understanding of the physiology of the disease on any of the systems of the body and how our understanding has changed.
2.      Because the seriousness and enormity of the pandemic, the rush to make recommendations on the treatment of the disease has led to poorly researched recommendations. Give an example of a bad recommendation and describe the negative impact this recommendation would have on a patient.

I have two questions based on the Genome of SARS-CoV-2. I would love to see your sources that you used as well, thanks! (I will leave a positive review.)

1. What proteins are encoded in the SARS-CoV-2 genome? What is the general function of each?

2. What are genomic hotspots? Considering COVID-19 is caused by a novel virus among humans, what process(es) might these areas of the genome be critical in enabling?