(a) Assuming the undiluted catalyst solution is 1% mass/volume I₃K, how many moles of I₃K are present in reactions 1 and 3? The molecular weight of I3K is 420 g/mol.

(b) What is [I₃K] present in reactions 1 and 3 in units of molarity?

(c) What is [I₃K] present in reaction 2 in units of molarity?

Chart 1: 10 mL undiluted 1-2% IKI; and 5 ml 3% H₂O₂

Chart 2: 10 mL 0.5-1.0% IKI; and 5 ml 3% H₂O₂

Chart 3: 10 mL undiluted 1-2% IKI; and 5 ml 2.25% H₂O₂

In questions 7 – 9, a firm can spend $1,150 monthly on advertising in either the newspaper or on the radio. Marketing experts estimate that monthly sales can be increased by the following amounts:

The prices of newspaper and radio ads are $250 and $300 respectively.

7.   In order to maximize monthly sales, the advertising budget should be allocated so that

1. 1 newspaper ad and 1 radio ad are purchased monthly.
2. 1 newspaper ad and 2 radio ads are purchased monthly.
3. 2 newspaper ads and 2 radio ads are purchased monthly.
4. 3 newspaper ads and 1 radio ad are purchased monthly.
5. none of the above.

8.   If the advertising budget is increased to $2,250 per month, how should the budget be allocated to maximize sales?

1. 2 newspaper ads and 2 radio ads are purchased monthly.
2. 3 newspaper ads and 3 radio ads are purchased monthly.
3. 3 newspaper ads and 4 radio ads are purchased monthly.
4. 3 newspaper ads and 5 radio ads are purchased monthly.
5. none of the above.

9.   In question 8 above, the values of MB(N)/P(N) and MB(R)/P(R) are both equal to

1. 1                                                                      
2. 2                                                                      
3. 3
4. 4
5. none of the above

Microsoft Visual C++ Assembly language

Problem 3. Write a program that uses a loop to calculate the first seven values of the Fibonacci number sequence, described by the following formula: Fib(1) = 1, Fib(2) = 2, … Fib(n) = Fib(n-1) + Fib(n-2). Place each value in the EAX register and display it with a call DumpRegs statement inside the loop

For example:

Fib(1) = 1,

Fib(2) = 2,

Fib(3) = Fib(1) + Fib(2) = 3,

Fib(4) = Fib(2) + Fib(3) = 5,

Fib(5) = Fib(3) + Fib(4) = 8,

Fib(6) = Fib(4) + Fib(5) = 13,

Fib(7) = Fib(5) + Fib(6) = 21

Below is an assembly program template that you can refer, and complete the programming by filling in the codes into the specified place:

TITLE Midterm Programming Question 3

Comment !

Description: Write a program that uses a loop to calculate the first

seven values in the Fibonacci number sequence { 1,1,2,3,5,8,13 }.

Place each value in the EAX register and display it with a

call DumpRegs statement inside the loop.

!

INCLUDE Irvine32.inc

.code

main PROC

please fill in your code here

            exit

main ENDP

END main

Please submit the source code of your assembly file (i.e. .asm) and the screenshot to show that your program works well

Consider the matrix B =         

−1 1 1 2

−1 1 0 3

−2 2 1 −4          

(a) Find ||B||F.

(b) It can be shown (See Saito, Lecture Notes, 5.7) that the 1-norm of a matrix A ∈ Rm×n can be written as ||A||1 = max 1≤j≤n||aj||1 whereaj is the jth column of A. Find||B||1.

(c) Find ||B||2.

(d) It can be shown (See Saito, Lecture Notes, 5.9) that the ∞-norm of a matrix A ∈ Rm×n can be written as kAk∞ = max

Suppose A = {(a, b)| a, b ∈ Z} = Z × Z. Let R be the relation define on A where (a, b)R(c, d) means that 2 a + d = b + 2 c.

a. Prove that R is an equivalence relation.

b. Find the equivalence classes [(−1, 1)] and [(−4, −2)].

Two dice are rolled. Let the random variable X denote the number that falls uppermost on the first die and let Y denote the number that falls uppermost on the second die.

(a) Find the probability distributions of X and Y.

(b) Find the probability distribution of X + Y.

A machine with an initial purchase price of $29100 has a useful life of 10 years. The usage of this machine is forecasted to bring us the savings in the table below. At an interest rate of 0% how many years will it take to payback the investment?

A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:

a. Find the sample regression equation for the model: Salary = β₀ + β₁Education + ε. (Round answers to 2 decimal places.)

Salaryˆ=Salary^=    +   Education

b. Interpret the coefficient for Education.

• As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $8,590.

• As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $10,850.

• As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $8,590.

• As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $10,850.

c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)

SalaryˆSalary^ = $

Here are the returns on two stocks.

a-1. Calculate the variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

a-2. Which stock is the riskier if held on its own?

• Digital Cheese

• Executive Fruit

b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)

c. Is the standard deviation more or less than half way between the variance of the two individual stocks?

imporant note (the language of compiler and programming llanguage)

Q1:

A positive integer number n is said to be perfect if the number is equal the sum of its divisors excluding the number itself.

Ex:

            6 is perfect since the divisors are 1, 2, 3 &   1+2+3 6

            28 is perfect since the divisors are 1, 2, 4, 7, 14 &    1+2+4+7+14 = 28

The function “mod” is defined in Xlisp, but the function “div” is not.

>(mod 18 7)

> 4

(a) Write a function “div” which when given two integers n, m and returns n div m.

Ex: > (div 18 7)

        > 2

(b) Write a function “perfect” which receives a positive integer n and returns 1 if n is perfect and 0 otherwise.

That is:

>(perfect 28)

>1

(perfect 14)

>0

Hint: I believe you may need to define other functions in addition to div.

Q2 )The McLaurin series for e^x as follows:

Write a function “EeX” which receives a number x and returns the value e^x.

That is:

> (EeX   1)

> 2.71

Note: you need to define two functions:

1. “power” which receives x , n and returns xⁿ

That is,

> ( power 3 2)

>9

2. “factorial” which receives an integer n≥0 and return n!.

That is,

> ( factorial 5)

>120

Note: Stop the recursion when (xⁿ/n!) < 0.001

(comp439)