Are the following functions satisfiable?
If the function is satisfiable, with a single line containing 4 comma-separated values, each of

which is either True or False, for x, y, z, v in this order. For example, you would submit: True,False,True,False.

If the function is not satisfiable, use the laws of propositional logic to prove that the function is a contradiction.

a) xy ̄+zv
b) (x+y)(x ̄+z)(y ̄+z ̄)(x+v)
c) xx ̄+yy ̄+zz ̄+vv ̄
d) (x+y)(x+y+z)+not(x+y+z)not(x+y+z+v)

A system of N identical, non-interacting particles are placed in a finite square well of width L and depth V. The relationship between V and L are such that only 2 bound states exist. What is this relationship? Hint: What is the requirement on E for a bound state? For these two bound states, what is the expected energy of the system as a function of temperature? The result only applies when T is low enough so that the probability of populating a state with E>V is very small. In this range of temperatures, what is the constant volume c(T)? Again for constant volume, what is the change in entropy between two temperatures?

You are titrating 110.0 mL of 0.050 M Ca2 with 0.050 M EDTA at pH 9.00. Log Kf for the Ca2 -EDTA complex is 10.65, and the fraction of free EDTA in the Y4– form, αY4–, is 0.041 at pH 9.00. PLEASE ANSWER ALL PARTS: A, B, C, D, AND E.

(a) What is K\'f, the conditional formation constant, for Ca2 at pH 9.00?

(b) What is the equivalence volume, Ve, in milliliters?

(c) Calculate the concentration of Ca2 at V = 1/2 Ve.

(d) Calculate the concentration of Ca2 at V = Ve.

(e) Calculate the concentration of Ca2 at V = 1.1 Ve.

Exercise 18.62

Calculate E∘cell for each of the following balanced redox reactions.

Part A

O2(g)+2H2O(l)+4Ag(s)→4OH−(aq)+4Ag+(aq)

Express your answer using two significant figures.

E∘cell = 

  V  

Part B

Br2(l)+2I−(aq)→2Br−(aq)+I2(s)

Express your answer using two significant figures.

E∘cell = 

  V  

Part C

PbO2(s)+4H+(aq)+Sn(s)→Pb2+(aq)+2H2O(l)+Sn2+(aq)

E∘cell =      v

Horizon Inc. sells prepaid telephone cards to customers. Horizon then pays the telecommunications company, V-Mobile, for the actual use of its telephone lines related to the prepaid telephone cards. Assume that Horizon sells $6,000 of prepaid cards in January 2020. It then pays V-Mobile based on usage, which turns out to be 60% in February and 40% in March. The total payment by Horizon for V-Mobile lines over the 2 months is $4,000.

A. Prepare the journal entries necessary for January and February

B. Compute the revenue, costs and net income Horizon will report in January, February, and March

in C++ Write a program to compute the current and the power dissipation in an AC circuit that has four resistors R1, R2, R3, and R4 in parallel. The voltage source is V. Test your solution with various voltage levels and resistor values. Execute and submit the program and the results in screen captures. Please note that the equivalent resistor is given by 1/Rtotal = 1/R1 + 1/R2 + 1/R3 + 1/R4 and the current I is given by I = V/Rtotal. The Power dissipation is given by P = V x I

B) Repeat the problem above when the resistors are connected in series.

Discuss the development of the Federal court system and show how John Marshall played a key role in its development and contributed to strengthening and defining  "federalism" in the United States by examining his significant rulings: Madison v. Marbury, McCulloch v. Maryland, Dartmouth College v. Woodward, and Gibbons vs. Ogen.

Discuss the democratic revolution that was to culminate during the presidency of Andrew Jackson. Also discuss his contributions to the development of the federal government and demonstrate his view of the presidency by using Jackson's attack on the Second Bank of the United States. Also discuss the sectional divisions that began to emerge in the "Age of Jackson".

Write a program in c++ to do the following : (1) Declare an array a of size 10 and three pointer variables p, q, and v. (2) Write a loop to fill array a with values 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 (3) write following statement: p= &a[2]; q = &a[5]; i = *q - *p; cout<<“The value of i is”<< i; i = *p - *q; cout<<“The value of i is %d”<< i; 4) assign address of a to v. 5) write a loop to print values of array a using pointer variable v

Compare the language generated by Grammar #2 to the language generated by Grammar #1. How do the two languages compare to each other? (Is one language a proper subset of the other? Does each language contain a string that the other one does not? Do both grammars generate the very same language?)

grammar #1 where S is the start symbol  

S → tV | iC | iV | i

C → tV

V → iC | iV | i

Grammar #2 where S is the start symbol

S → W

W → YW | Y

Y → CV | V

C → t

V → i