Q.3) Suppose (y, z) plane forms the boundary between a nonconducting linear
medium (1) and a conducting medium (2). A monochromatic plane wave traveling
in the x direction and polarized in the y direction approaches the interface from the
left direction.
i) Draw the diagram for this case by indicating the directions for incident, reflected
and transmitted electric and magnetic fields along with the propagation direction.
ii) Calculate the reflection coefficient R and transmission coefficient T and
show that R+T=1?

You are a private tution teacher who conducts one-on-one home tuition in economics for senior college students. You are considering growing your business. In particular you are considering vertical and horizontal integration. Using the theory of the optimal boundary of the firm, discuss the make-or buy decision as well as the scope for horizontal integration and diversification of your business. What stages of the vertical chain should you consider conducting in house? What other horizontal markets may you integrate into?

Use Theorem 3.5.1 to find the general solution to each of the following systems. Then find a specific solution satisfying the given boundary condition.

a. f1′=2f1+4f2,f1(0)=0 f 2′ = 3 f 1 + 3 f 2 , f 2 ( 0 ) = 1

c. f1′= 4f2+4f3 f2′= f1+f2−2f3 f 3′ = − f 1 + f 2 + 4 f 3 f1(0) = f2(0) = f3(0) = 1

Slight wind of 2.2 m/s is moving over a human cheek of length .05m and is causing the skin to lose water. What is the thickness of the mass transfer boundary layer at half of the distance (0.025m) from the edge of the cheek surface over which this water loss is taking place? The viscosity of air can be assumed as 1.85*10-5 Pa.s, density of air is 1.2 kg/m3 and the diffusity of water vapor in air is 2.6*10-4 m2 /s. Temperature is 37C

heat transfer question, show equations, assumptions, calculations and steps clearly. will give thumbs up rating if solved correctly in 50 minutes

part a:

What is the Lumped Capacitance Method, what does it assume, and for which criteria is it valid?

part b:

When part of a system is perfectly insulated, how do we translate this mathematically as a boundary condition?

part c:

State three important assumptions that must be respected for the thermal resistance concept to be valid in a plane wall.

Water flows over a horizontally standing plate. The length of the plate is 1.5 m and its temperature is constant and at 15 ° C. d. The temperature of the water flowing over the plate is 75 ° C and its speed is 0.11 m / sec. According to this, a.) Calculate the speed and temperature boundary layer thickness at the end of the plate. b.) Find the local heat transfer coefficient and heat flux at the end of the plate. c.) Find the average heat transfer coefficient and heat flux at the end of the plate.

1. For the data below create a table in excel and a graph to accompany. (the table and graph are two separate supplements so make sure each is labeled and formatted properly.) Hint: You are making the table in excel because you can make the graph straight from the data.

Each group recorded the level of carbon monoxide measured (ppm) in a running car every 15 seconds for 2 minutes with a Graywolf indoor/outdoor air quality monitor. They start recording at zero seconds.

Group 1, 1994 Ford Focus: 58, 50, 42, 36, 30, 25, 25, 24, 23

Group 2, 2008 Ford F150: 12, 15, 15, 16, 17, 16, 15, 14, 15

Group 3, 1988 Chevy Nova: 112, 80, 80, 70, 60, 55, 45, 40, 40

Group 4, 2014 Honda Accord: 12, 14, 16, 20, 30, 30, 35, 40, 48

Group 5, 2010 Hyundai Santa Fe: 50, 45, 43, 42, 30, 23, 13, 8, 7

Group 6, 2003 Subaru Forester: 66, 45, 40, 33, 32, 21, 20, 120, 17

2. Create a table in Microsoft word for the following data.

Scientists tracked and observed a Black Bear (Ursus Americanus) named Stachi over the course of 6 years. Once a year they would document her weight and height, geolocation, fetal development, and body condition.

December 1999- 97 lbs., 55 in., (39.7576202, -74.1062466), No, Average

December 2000- 135 lbs., 55 in., (39.695866, -74.253511), Yes, Fat

December 2001- 102 lbs., 55 in., (39.5585, -74.3706), No, Average

December 2002- 99 lbs., 55 in., (39.7576202, -74.1062466), No, Average

December 2003- 122 lbs, 55 in., (39.695866, -74.253511) Yes, Fat

December 2004- 70 lbs., 54 in., (39.49026, -74.53915), No, Thin

Dillon Labs has asked its financial manager to measure the cost of each specific type of capital as well as the weighted average cost of capital. The weighted average cost is to be measured by using the following weights: 40% long-term debt, 10% preferred stock, and 50% common stock equity (retained earnings, new common stock, or both). The firm’s tax rate is 40%.

Debt The firm can sell for $980 a 10-year, $1,000-par-value bond paying annual interest at a 10% coupon rate. A flotation cost of 3% of the par value is required in addition to the discount of $20 per bond.

Preferred stock Eight percent (annual dividend) preferred stock having a par value of $100 can be sold for $65. An additional fee of $2 per share must be paid to the underwriters.

Common stock The firm’s common stock is currently selling for $50 per share. The dividend expected to be paid at the end of the coming year (2004) is $4. Its dividend payments, which have been approximately 60% of earnings per share in each of the past 5 years, were as shown in the following table.

Year Dividend

2003                      $3.75

2002                       3.50

2001                      3.30

2000                      3.15

1999                      2.85

It is expected that in order to sell, new common stock must be underpriced $5 per share, and the firm must also pay $3 per share in flotation costs. Dividend payments are expected to continue at 60% of earnings.

a. Calculate the specific cost of each source of financing. (Assume that kr ----------------------- ks.)

b. If earnings available to common shareholders are expected to be $7 million, what is the break point associated with the exhaustion of retained earnings?

c. Determine the weighted average cost of capital between zero and the break point calculated in part b.

d. Determine the weighted average cost of capital just beyond the break point calculated in part b