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5. $ \int 10 \cos ^{9} 2 x \sin 2 x d x $

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An enzyme that is put into an environment that is much hotter than its optimal temperature will likely ____. remain active because temperature has no effect on enzyme function. remain active because only low temperatures denature enzymes. lose function but maintain the same three-dimensional structure. lose function because the enzyme becomes denatured.

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A point charge is positioned at ⟨ -2 m, -3 m, 0 ⟩ and produces an electric field that can be detected at point ⟨ 1 m, 4 m, 0 ⟩ . What is the source vector in this situation?

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E/P 17 A tightrope is modelled as a line segment between points with coordinates $ (2,3,8) $ and $ (22,18,8) $, relative to a fixed origin $ O $, where the units of distance are metres. Two support cables are anchored to a fixed point $ A $ on the wire. The other ends of the cables are anchored to points with coordinates $ (14,1,0) $ and $ (6,17,0) $ respectively. a Given that the support cables are both $ 12 \mathrm{~m} $ long, find the coordinates of $ A $. (8 marks) b Give one criticism of this model. (1 mark)

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Consider n identical firms, which produce a perfectly homogenous good at constant marginal cost c. The market demand is given by p=a-Q, where Q is the total output produced in the industry. The strategic variable of the firms is output (Cournot game). (a) Find equilibrium outputs and profits in a pre-merger situation. That is when all the n firms are independent. (b) Consider now a merger between m+1 firms, and find equilibrium output and profit for each independent firm. (c) Show that outsiders always gain from a merger. (d) Show that a merger to monopoly is always profitable for the merging firms. (e) Take n=10 and show that a merger is profitable only if m+1>=9. (Assume that n is an integer.) (f) The above example shows that a profitable merger between Cournot firms without synergy requires that the merging parties have a very large pre-merger combined output level. Explain the intuition why a merger between Cournot firms is almost always unprofitable. (g) By introducing different assumptions in the basic Cournot model, one can have profitable mergers for insiders. Discuss two of these conditions. 1. Consider n identical firms, which produce a perfectly homogenous good at constant marginal cost c. The market demand is given by p = a -Q, where Q is the total output produced in the industry. The strategic variable of the firms is output (Cournot game) a) Find equilibrium outputs and profits in a pre-merger situation. That is when all the n firms are independent. b) Consider now a merger between m + 1 firms, and find equilibrium output and profit for each independent firm. (c) Show that outsiders always gain from a merger. d) Show that a merger to monopoly is always profitable for the merging firms. (e) Take n = 10 and show that a merger is profitable only if m + 1 > 9. (Assume that n is an integer.) f The above example shows that a profitable merger between Cournot firms without synergy requires that the merging parties have a very large pre-merger combined output level. Explain the intuition why a merger between Cournot firms is almost always unprofitable. g) By introducing different assumptions in the basic Cournot model, one can have profitable mergers for insiders. Discuss two of these conditions.

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Jeff is hanging a string of lights 34 feet long around the three sides (two on the width and one on the length) of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is six feet shorter than six times its width. Find the length and width of the patio. The length of the patio is: feet. The width of the patio is: feet.

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Money Supply Expansion Available after Monday, November 14, 2016 12:00 AM EST. The topic: A bank currently has $70,000 in deposits, $6,000 in cash in the vault, $12,000 on deposit with the Fed, and $7,000 in government securities. The required reserve ratio is 20 percent. Answer these questions: 1) What is the maximum amount the money supply can increase, assuming this bank is the only bank in the system that has excess reserves? 2) An individual deposits a $750,000 check into the bank. That individual had just converted foreign currency into dollars so the $750,000 was not in the money supply before the deposit. What is the maximum size loan the bank can make once the check clears? 3) What is the maximum amount the money supply can increase as a result of the $750,000 deposit? 4) If these expansions in the money supply happen, what effect will it have on aggregate demand, GDP, and employment? 5) What could keep the expansions from happening? Work with your group members to answer these questions. This is not just an individual assignment. That means someone should post an answer to the first question and ask for input from others. That's how you get started. GRADING RUBRIC

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21) Suppose that the supply of avocado increases due to an improvement in the technology for growing avocado with less watering costs. Which of the following describes the mechanism of price and quantity adjustment assuming that there is no change in the demand curve? a) There is a downward pressure on prices and an increase in the equilibrium quantity. b) There is an upward pressure on prices and an increase in the equilibrium quantity. c) There is no change in equilibrium price and quantity. d) There is a downward pressure on prices and a decrease in the equilibrium quantity. e) None of the above. 22) In answering the following question, it may be helpful to draw a supply and demand diagram. What is the effect on equilibrium price and quantity of an decrease in both supply and demand? a) There is an increase in equilibrium price and an increase in equilibrium quantity. b) There is no change in equilibrium price but a decrease in equilibrium quantity. c) There is a decrease in equilibrium price and an increase in equilibrium quantity. d) There is no change in equilibrium price or quantity. e) There is an ambiguous effect on equilibrium price and a decrease in equilibrium quantity.

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Determine the total operating fixed costs (TOFC) based on the following: Administrative expenses = $200,000; Marketing expenses = $80,000; Depreciation expenses = $100,000; and Interest expenses = $20,000. $400,000 A disadvantage of an LLC includes: Investors are not allowed. The company cannot conduct business overseas. Venture Capitalists will not invest. The corporate tax rate is higher than a "C" corporation. There are no cash flows.

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Explain how the concept of a gateway API is implemented in a Netflix-like application.

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