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Question 1 (10 Marks):
a) Determine Zi, Zo and Av for the circuit in Figure Q1 (a) yfs = 3000 μS and yos
=50 μs with aid of AC small signal equivalent circuit.
Figure Q1 (a)
(5 Marks)
b) Remove the 20μF capacitor from the circuit in Figure Q1 (a) and find the Zi,
Zo and Av with aid of AC small signal equivalent circuit.
(5 Marks)

Question 2:
Develop max and min heap 35 33 42 10 14 19 27 44 26 31
Create an avl tree also check balancing factor on each and every node:
45, 70, 35,3,7425,81,60

Implement simple binary tree data structure with following operations, (assume data elements)
InsertLeft
InsertRight
RemoveLeft
RemoveRight
Traverse (pre-order, in-order and post-order)

BMW, owner of the BMW, Mini, and Rolls-Royce brands, has been a major presence in Europe since 1916. The company still sells 46 percent of its cars in Europe, and growth is highest there. However, China is becoming one of BMW’s most important markets. In 2016, the company sold over 520,000 cars in China, and BMW has turned to the Chinese market as a primary focus for future sales.
Despite rising sales revenues, BMW is conscious that its profits are often wiped out by changes in exchange rates. The company has pointed out that it was hit particularly hard by China’s currency devaluation in late 2015. BMW Brilliance Automotive Co. Ltd., BMW’s subsidiary in China, imports about half its components from Europe and elsewhere, and it faced major declines in profit because of the negative effects of unfavorable exchange rates.
However, BMW did not want to pass those exchange rate costs on to consumers through price increases. Its rival, Porsche, had done that in the United States at the end of the 1980s, and sales plunged as a result. Instead, BMW took a two-pronged approach to managing its foreign exchange exposure.
The first strategy was to use a “natural hedge” against risk, meaning the company would develop ways to earn and spend money in the same currency. To do so, BMW sought ways to keep revenues in the country and spend in the local currency. The company tried to import fewer products from Europe, and instead sourced products locally from factories in China. It also worked with local Chinese vendors to spend more of the renminbi it earned in China. By moving more of its production to China and other Asian markets, the company not only reduced its foreign exchange exposure but also benefitted from being closer to its new customers.
However, not all exposure could be offset in this way, so BMW decided it would also use formal financial hedges and currency options. To achieve this second strategy, BMW set up regional treasury centers in the United States, the United Kingdom, and Singapore. These centers took on the responsibility of monitoring and reviewing exchange rate exposure in each region in which the company operated. Staff there produced weekly reports for the finance operations staff in BMW’s Munich headquarters, so the company could monitor when and where to move currencies across countries, when to buy currency hedges, and what currency options it needed to mitigate foreign exchange risk.
Case Discussion Questions
What types of exchange risk does BMW face when selling cars in China?
How can BMW best manage risks from currency exchange exposure in China?
How do the different types of hedging help BMW reduce currency risk?
What other industry or company would benefit from the procedures BMW created?
NOTE: THIS IS NOT AN ESSAY QUESTION AND THIS IS NOT OUTSIDE THE SCOPE OF THE SUBJECT. CONTINUED REFUSAL TO DO THE JOB I PAY YOU FOR WILL RESULT IN ME CANCELLING MY SUBSCRIPTION.

Suppose that potential migrants make decisions only based on comparisons of their expected incomes. Now suppose the rural wage is $1 per day. Urban modern sector employment can be obtained with 0.25 probability and pays $3 per day. The urban traditional sector pays $0.40 per day. (a) Using this information, and making assumptions as needed, can you make a prediction about whether there will be any rural-to-urban or urban to rural migration? (b) Explain your reasoning, stating explicitly any simplifying assumptions, and show all work. (c) Consider an approach that calculates an expected income in the urban sector of 0.25(3) + (0.75)(0.40) = 1.05; and note that this exceeds the rural wage of 1—would you predict that there will be rural-to-urban migration? (d) What simplifying assumptions are needed to make this a valid conclusion? (e) Now, what would the urban traditional sector daily income have to be to induce no net rural-urban migration? (f) If wages in all sectors are inflexible, what else adjusts in this model to lead to equilibrium (how much does it adjust and what is the intuition)?

The two chunks of ice slide on a frictional frozen pond. Chunk A, having mass 5kg moves with initial velocity of 2m/s parallel to the x-axis. It collides with chunk B, which has mass 3kg and is initially at rest. After the collision, the velocity of A is found to be 1m/s in a direction of an angle 30◦ with the initial direction. What is the final velocity of B?

The 5,000kg final stage of a spaceship ejects the 10,000kg second stage. Before ejection, the two stages together travel with a velocity of 200m/s. If after ejection the second stage travels at 50m/s opposite the direction of its initial motion, what is the velocity of the final stage?

A car is traveling at 26.0 m/s when the driver suddenly applies the brakes, causing the car to slow down with constant acceleration. The car comes to a stop in a distance of 120 m. How fast was the car moving when it was 60.0 m past the point where the brakes were applied?

8.
Which of the following statements are true or false. Give reasons.
(10)
a)
Q (x) = x - x is the quadratic form of a positive definite matrix.
b)
In a bivariate normal distribution N,(,, u,, a,, a,[xy), if fxy = 0, then x and y
are independent.
c)
The relation of accessibility in states is transitive.
d) For any pair of discrete random variables x and r PIY /y | X /x] <1.
e) f (X ():t 20} is a Poisson process, then N (1) = X (t + a) - X (1), where a is a
constant is also a Poisson process.
6/6

Consider a silicon diode with reverse saturation current of Is = 2 pA. a. Assuming that this diode is operating at room temperature (25°C), calculate the diode current Ip for each diode voltage Vo given in the following table : VD (V) -20 -15 -10 -5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Id (ma) b. Using the results of the above table, plot the terminal characteristics of the above diode. c. Approximate the curve you have plotted in part (b) by two straight lines and calculate the parameters of the “piecewise linear model" of this diode.

L. Glycerol, C3H803, is a nonvolatile nonelectrolyte with a density of 1.26 g/mL at 25 oc. Calculate the vapour pressure at 25 oc of a solution made by adding 50.0 mL of glycerin to 500.0 mL of water. The vapor pressure of pure water at 250C is 23.8 torr. Summarising the given information: V(G1ycer01) = 50 mL = 0.05 L V(H20) = 500 mL = 0.5 L T = 25 oc Density(C3H803) = 1.26 g/mL at T = 25 oc PO(Glycerol) = 0 (because glycerol is non-volatile) PO(H20) = 23.8 torr The vapour pressure of the mixture will be entirely due to H20. From Raoult's Law: P(H20) = X(H20) x PO(H20) Where X(H20) is the mole fraction of 1--120. we need the mole fraction of H20. we need to calculate moles of glycerol and H20. mass(glycerol) = 50 mL x 1.26 g/mL = 63 g MW(g1ycer01) = 92.1 g/mol n(glycerol) = 63 + 92.1 = 0.684 mol mass(H20) = 500 g (Iml = lg at 25 00 MW(H20) = 18.0 g/mol = 500 + 18.0 = 27.8 mol X(H20) = 27.8 + (27.8 + 0.684) = 0.976 Applying Raoults law: P(H20) = 0.976 x 23.8 torr = 23.2 torr The vapour pressure of the solution is 23.2 torr. 2. Seawater is about 3.5% (by weight) dissolved solids, almost all of which is NaCl. Calculate the normal boiling point of seawater. The boiling point elevation constant Kb(H20) = 0.51 oc m-l To calculate boiling point elevation: ATb = i x Kb xm 3.5% by weight NaC1 = 3.5 g in 96.5 g H20 (i.e. 0.0965 kg) mass(NaCl) = 3.5 g MW(NaC1) = 58.44 g/mol n(NaC1) = 3.5 + 58.44 = 0.0599 mol m(NaC1) = 0.0599 + 0.0965 = 0.621 m The Van 't Hoff factor i for NaCl is 2 (assuming complete dissociation of Na+ and Cl- ions) ATb = 2 x 0.51 x 0.621 = 0.63 oc. • the boiling point of seawater = 100 + 0.63 = 100.63 oc. 3. The average osmotic pressure of blood is 7.7 atm at 25 oc. What concentration of glucose, C6H1206, will be isotonic with blood? Osmotic pressure = i x [MI x R x T where i = the Van 't Hoff factor [MI = concentration (Molar) R = Ideal gas constant T = Temperature (absolute scale) Given =7.7 atm = 780 kPa T = 25 oc = 298 K R = 8.314 L kPa K-1 mol-l i = 1 for glucose Need to solve for [glucose] [glucose] + (1 x 8.314 x 298) = 0.31 mol L-1 (Notice that units of kPa and K-l cancel) 4. The vapour pressure of water at 25 oc is 3167 Pa. A solution consisting of 18.913 grams of a non-volatile substance in 36 grams of water has a vapour pressure of 2697.6 Pa. What is the molecular weight of the solute? Given: PO(H20) = 3167 Pa mass(H20) = 36 g MW(H20) = 18.0 g mol-l mass(NVS) = 18.913 g (NV S is non-volatile substance) T = 25 oc P(H20) = 2697.6 Pa Use Raoult's Law: P(H20) = X(H20) x PO(H20) to solve for X(H20): X(H20) = P(H20) + PO(H20) = 2697.6 + 3167 = 0.8518 • mole fraction X of Nvs = 1 - 0.8518 = 0.1482 n(H20) = mass + MW = 36 + 18.0 = 2 mol X(NVS) = n(NVS) + {n(NVS) + n(H20)} • 0.1482 = n(NVS) + {n(NVS) + 2} • 0.1482 x {n(NVS) +2} = n(NVS) • 0.1482 x n(NVS) + 0.2964 = n(NVS) • 0.2964 = n(NVS) - 0.1482 x n(NVS) • 0.2964 = n(NVS) x 0.8518 n(NVS) = 0.2964 + 0.8518 = 0.3480 mol Using the mass, we can calculate MW(NVS): MW(NVS) = m(NVS) + n(NVS) = 18.913 + 0.3480 = 54.32 g mol-l

Glycerin, C3H8O3, is a nonvolatile nonelectrolyte with a density of 1.26 g/mL at 25oC. Calculate the vapor pressure at 25oC of a solution made by adding 50.0 mL of glycerin to 500 mL of water. The vapor pressure of pure water at 25oCis 23.8 torr.

Compute the natural join R(A,B) ⋈ S(B,C)
1。Write the pseudo codes using the traditional single machine in-memory programming.
2。Write the pseudo codes using MapReduce

1. A system of three point particles of equal masses 45 gm are initially connected by three rods of negligible mass to an axis of rotation perpendicular to the plane of the particles as shown in the figure-1. 40 cm axis 20 cm 60 cm Figure 1 (a) What is the moment of inertia of the system of three particles? [4 marks (b) If the massless rods are replaced by three rods of equal masses of 65 gm keeping their lengths unchanged, what is the moment of inertia of the system now? [6 marks) (c) If the systems rotate at 4.75 rev/s, what are the systems rotational kinetic energies? [5 marks

WRITE PROGRAM IN C LANGUAGE:
Write a program which should consists of a user defined function “Task ()” [Function returns no value]. Pass 1D array to the function, along with number of elements of array and element to search. Function should implement linear search, and if the element is not found in the array, then insert that element at the end of array .Display the final array after insertion [After function is called] in the main () function. [Note: Array should be passed using by reference approach]