Find the area of the region enclosed by the graphs of y^2 = x + 4 and y^2 = 6 − x

The set of transitions from ni = 3, 4, 5, ... to nf = 2 is called the Balmer series after an early researcher, Johann Jakob Balmer, who figured out a rule similar to the Rydberg formula. Transitions from ni = 2, 3, 4, ... to nf = 1 are called the Lyman series and those from ni = 4, 5, 6, ... to nf = 3 are called the Paschen series. The wavelengths in the Balmer series are in the visible spectrum, those in the Lyman series are in the ultraviolet part of the electromagnetic spectrum and those in the Paschen series are in the infrared. Theodore Lyman and Friedrich Paschen were also researchers on the spectral lines of hydrogen in the early 1900’s. They had to use special techniques to see these invisible wavelengths. Are the hydrogen lines you see in one of these series? If so, which one? Use the Rydberg formula (with the known value for the Rydberg constant) to predict the longest wavelength in each of these three series?

My data aligned with the Balmer series, however I do not know how to identify the longest wavelength in each of the three series. please show work.

4. If a company expects to sell 4,500 units, has a DOL of 2 and a % change in Operating Cash Flow of 22% (positive), how many units did they actually sell?

a.  400

b.  440

c.  4,440

d.  4,995

e.  None of the above

5.  Which of the following is FALSE about the efficient markets hypothesis?

a.  EMH implies that the market has already incorporated characteristics such as dividend policy into its price.

b.  EMH is the idea that actual capital markets, such as the NYSE, are efficient.

c.  EMH means that it does not matter how you invest your money, the market will keep you from a mistake.

d.  Much of the criticism of EMH stems from a misunderstanding of the concept.

e.  EMH implies that the price a firm will obtain when it sells a share of its stock is a “fair” price.

6.  Year two in each of the MACRS depreciation schedules

a.Is the year in which MACRS depreciation is greater than straight line depreciation.

b.Is the year in which taxes are saved by the company.

c.Is the point at which tax savings can be invested to earn income.

d.Is important because of the time value of money.

e.All of the above.

7. When computing after tax salvage value, if book value is less than market value,

a.There will be a gain.

b.There will be a loss.

c.The tax adjustment will add to market value.

d.The tax adjustment will subtract from book value.

e.None of the above.

8. The Equivalent Annual Cost computation is important when

a.The useful lives are different on the two choices.

b.The initial costs of the two choices are the same.

c.There is no annual maintenance cost to be considered.

d.This is one time purchase and the machine will not be replaced when it wears out.

e.Both machines could be purchased if it is cost effective to do so.

9. One of the most important reasons why companies try to grow over time is

a.  So that they can have more influence politically in their local elections.

b.  So that their officers can have higher salaries and bonuses.

c.  To increase the prestige and status of employees and officers.

d.  To increase the profits of the firm.

e.  To reduce the degree of operating leverage and thereby forecasting risk.

10.  Which of the following is TRUE about what if analysis?

a.  Scenario analysis is used to analyze the impact of one variable on the bottom line.

b.  Sensitivity analysis is a combination of scenario and simulation and uses a computer modeling program.

c.  Simulation analysis tests the limits by computing plus or minus ten percent, for example.

d.  The base case scenario is our best guess of what the numbers will be.

e.  None of the above is true.

11.  If you found an investment with a 23% total return (in today’s economy), what would be your best course of action?

a.  Buy it quickly before others discover this lucrative investment and the price goes down.

b.  Do not buy it because there has to be something wrong with that return number.

c.  Investigate further to see why the return on this stock is so much greater than elsewhere in the marketplace.

d.  Buy it because they could not advertise 23% if it was not really getting that.

e.  Report the stock to the Securities and Exchange Commission.

12.  In computing current and capital gains yields, which of the following isTRUE?

a.  You always divide by the initial price.

b.  You always divide by the ending price.

c.  Dividend yield can be positive or negative.

d.  Capital gains yield is the total of dividend (current) yield and total yield.

e.  Capital gains yield will always be negative.

13. In capital budgeting analysis,

a.  we are looking for projects that add value to the firm’s owner’s equity.

b.  we are looking for projects that have a large payoff several years down the line.

c.  we are looking for projects that won’t cost the firm too much up front.

d.  we are looking for projects with large incomes in the early years.

e.  we are looking for projects that do not have any additional investments after the initial one.

14. A disadvantage of the Internal Rate of Return method of evaluating projects is

a.It does not take into account the time value of money.

b.It is difficult to compute, even with level cash flows.

c.It sometimes results in more than one answer.

d.Managers do not understand the concept of Internal Rate of Return.

e.It is biased toward short term projects

16.  Which of the following are characteristics associated with positive NPV projects?

I.   Access to distribution channels

II.  Economies of scale

III. Favorable government policies

a.I and II only

b.I and III only

c.II and III only

d.I, II, and III.

e.II only

A planet of mass 7 × 10²⁴ kg is at location <2 × 10¹¹, -4 × 10¹¹, 0> m. A star of mass 4 × 10³⁰ kg is at location <-6 ×10¹¹, 6 × 10¹¹, 0> m. It will be useful to draw a diagram of the situation, including the relevant vectors.
(a) What is the relative position vector r→ pointing from the planet to the star?

(b) What is the distance between the planet and the star?

(c) What is the unit vector r^ in the direction of r→?

(d) What is the magnitude of the force exerted on the planet by the star?

(e) What is the magnitude of the force exerted on the star by the planet?

(f) What is the force (vector) exerted on the planet by the star?

(g) What is the force (vector) exerted on the star by the planet?

If the APR is 4% and the compounding period is monthly, what is the EAR?

2.Would you prefer $1000 today or $2000 in 5 years?

a.If the prevailing interest rate is 9%

b.If the prevailing interest rate is 18%

3What is the present value of a perpetuity that pays an annual cash flow of $150 with prevailing interest rates of 5%?

4What is the present value of a perpetuity that pays its first cash flow of $500 one year from now and then grows by 3% per year. Assume prevailing interest rates of 6%?

8) Sulfuric acid is a strong acid, and the pKa 2 of HSO - 4 is 1.92. What is the pH of a 0.100 M

NaHSO 4 solution?

9) What is the pH of 1.5 L of a vinegar that is 3% acetic acid by mass? (Ka= 1.8 x 10 -5 ).

Find the center of mass of the solid bounded by z = 4 - x^2 - y^2 and above the square with vertices (1, 1), (1, -1), (-1, -1), and (-1, 1)

if the density is p = 3.

Find the area of the region bounded by the parabolas x = y^2 - 4 and x = 2 - y^2

the answer is 8 sqrt(3)

1. You are designing a rectangular poster to contain 50 in^2 of printing with a 4 in margin at the top and bottom and a 2 in margin at each side. What overall dimensions will minimize the amount of paper used?

Evaluate ∫ C ( 2 x − y ) d x + ( 4 y − x ) d y where C consists of the line segment from( 0 , 1 ) to ( 1 , 0 ), followed by the line segment from ( 1 , 0 ) to( 3 , 0 ), followed by the line segment from ( 3 , 0 ) to ( 2 , 2 ). Submit answer as a number rounded to two decimal places.