An infinitely long solid insulating cylinder of radius a = 5.6 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 25 μC/m³. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.5 cm, and outer radius c = 17.5 cm. The conducting shell has a linear charge density λ = -0.41μC/m.

1. What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) = (42 cm, 42 cm).

2. What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator?

3. Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator? V(a) < 0 V(a) = 0 V(a) > 0

4. The charge density of the insulating cylinder is now changed to a new value, ρ’ and it is found that the electric field at point P is now zero. What is the value of ρ’?

Ms. V, a wealthy art collector in Country W, is interested in buying a rare painting from Mr. Y in Country Z. Both parties agree that the price is to be determined by an independent appraiser. V informs Y that she will send her agent, X, with a check to collect the painting. V draws a check payable to Y but leaves the amount blank. She gives the check to X and instructs him to deliver it to Y. Without authority, X fills in the amount for $1 million and presents it to Y, who has, in the meantime, received the appraisal. The appraised price is $750,000. X tells Y that Ms. V had made the check out for $1 million to ensure that it will exceed the appraisal price, and that V has instructed X to return with the painting and the difference in cash. Y gives X the painting and $250,000. X delivers the painting but then disappears with the $250,000 in cash. When V discovers what has happened, she stops payment on her check and offers to pay Y $750,000 for the painting. Y insists that V must pay the check's full face value of $1 million. Is Y correct? Why or why not?

Joshua company had the following information in 2016.

Accts Rec 12/31/16.....$15000

Allowance for uncollected account 12/31/16 (before adjustment).....$950

credit service revenue during 2016.....$45000

Cash service revenue during 2016.....$15000

Collections from customers on account during 2016.......$45000

If uncollectible accounts are determined by the​ aging-of-receivables method to be $ 1 240​, the uncollectible account expense for 2016 would be $ 290. Using the​ aging-of-receivables method, the balance of the Allowance account after the adjusting entry at​ year-end 2016 would be

Derive the following statement

"T(temperatue)-V(volume) and P(pressure)-V(volume) relationship in the adiabatic changes"

Prepare a comprehensive and thumbnail brief of each of the following opinions:

United States v. Kovel

Brown v. Hammond

South Sea Baubles has the following (incomplete) balance sheet and income statement.

BALANCE SHEET AT END OF YEAR
(Figures in $ millions)
Assets	2015			2016			Liabilities and Shareholders' Equity	2015			2016
Current assets	$	96		$	170		Current liabilities	$	62		$	78
Net fixed assets		860			960		Long-term debt		630			810

INCOME STATEMENT, 2016
(Figures in $ millions)
Revenue	$	1,980
Cost of goods sold		1,060
Depreciation		380
Interest expense		246

a&b. What is shareholders’ equity in 2015 and 2016? (Enter your answers in millions.)

a. 2015?

b. 2016?

c&d. What is net working capital in 2015 and 2016? (Enter your answers in millions.)

C. 2015?

d. 2016?

e. What are taxes paid in 2016? Assume the firm pays taxes equal to 35% of taxable income. (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

f. What is cash provided by operations during 2016? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

g. Net fixed assets increased from $860 million to $960 million during 2016. What must have been South Sea’s gross investment in fixed assets during 2016? (Enter your answer in millions.)

[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,

u (t) = 2u (t) + 2v (t) + 4

V (t) = u (t) + 3v (t) – 1

u (0) = 2

v (0) = -1

[ find, u (t) and v (t) ].

3. Fluorine reacts with vanadium to produce vanadium(V) fluoride according to the following equation: 5 F2 (g) + 2 V (s) → 2 VF5 (l) (a) How many moles of vanadium are needed to react completely with 0.1917 g of fluorine? (b) What is the maximum theoretical mass of vanadium(V) fluoride that can be produced? (c) If 0.225 g of vanadium(V) fluoride is obtained, what is the percent yield of VF5 (l)? Molar masses (g/mol): F2 38.00 VF5 145.93

A 197 Ω resistor, a 0.925 H inductor, and a 5.75 μF capacitor are connected in series across a voltage source that has voltage amplitude 31.5 V and an angular frequency of 230 rad/s. What is v at t= 19.0 ms? What is vR at t= 19.0 ms? What is vL at t= 19.0 ms? What is  vC at t= 19.0 ms? Compare vC+vL+vR and v at this instant. What is VR? What is VC? What is VL? Compare V and VL+VC+VR.