Evaluate the surface integral

F · dS

for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.

F(x, y, z) = xy i + yz j + zx k

S is the part of the paraboloid

z = 6 − x² − y² that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1,

and has upward orientation

You have an open organ pipe that plays a middle C note (262 Hz) at a temperature of 25 ◦C. (a) How long is this pipe? (b) How many overtones are present within this pipe within the audible range? (c) If the temperature dropped to 5 ◦C, by what percentage would the frequency of this note change? (d) If the pipe had a closed end instead of an open one, what are the frequencies of the first 3 harmonic resonances at 5 ◦C?

1- You need to analyze the operation and performance of a four-stroke, spark-ignition internal combustion engine (automobile engine).

a- Would you analyze the engine as an Open System or a Closed System?

b- How many properties of the engine exhaust would you need to measure in order to determine the Thermodynamic State of the exhaust gas?

c- Identify a set of properties of the exhaust gas that you might measure to establish its state.

d- Are these properties Intensive or Extensive?

14. In the Excel, or spreadsheet, approach to recording financial transactions, if manufacturing overhead is underapplied by X dollars, the Manufacturing Overhead account is closed out by deducting X dollars in the Manufacturing Overhead column and deducting X dollars in the Retained Earnings column.

True or false

16. In the Excel, or spreadsheet, approach to recording financial transactions, expired insurance coverage on factory equipment is recorded as a decrease in the Prepaid Insurance column and as a decrease in the Retained Earnings column.

True or False

2. Consider the Krugman model whose equilibrium could be described by the intersection of PP (pricing rule) and ZZ (zero profit condition) schedules. How would the closed-economy equilibrium change if fixed costs were larger? Use the graph with PP and ZZ schedules, and explain how in the new equilibrium, consumption per capita of a product, supply quantity of a product, price of a product relative to wage, and number of product varieties change. Provide intuition for your results.

Give your recommendation about the concept of specific heat capacity and latent heat can
be utilized in ice- cream industry to cool the ice creams and in cooking food in the kitchen. In the
latent heat formula, Q = ± mL, how can you make the significance of dual sign in the formula?
How can you provide scientific justifications to prove that there are some differences in total
cooking time in open vessels compared that with a closed vessel like pressure cooker

] Faced with high levels of government debt, European Union economies have been reducing government expenditure and/or raising taxes. What are the effects of these “austerity policies” on EU national saving, S? For each of the following three cases, derive the expected effects on EU and US interest rates, saving, investment, and net exports: (a) EU is a closed economy; (b) EU is a small open economy; (c) the world consists of two large economies: the EU and the US.

A 75 watt incandescent light bulb and an 18 watt compact fluorescent bulb are equally bright. How much warmer will an insulated closed 12 by 11 by 8.0 foot room get in 1.0 hour if it is lighted by an incandescent bulb than if it is lighted by a fluorescent bulb? At room temperature, the specific heat of air is 1.007 J/gC and its density is 1.2 g/L. The watt is the SI unit of power; 1 watt = 1 J/s.