1. First, an object 1 with mass m and an object 2 with mass 2 m are moving on a straight line at velocities v1i = 1.00 m / s and v2i = -2.00 m / s. Two objects collided inelastically, and the velocities of object 1 and object 2 changed to v1f and vf2, respectively. The velocity is positive in the right direction, and no external force is acting on these two objects. Find v1f and vf2 for cases (1) and (2) below, respectively.
(1) When two objects have a completely inelastic collision.
(2) When two objects have a rebound coefficient e = 0.8.

Let A = 0 2 0

1 0 2

0 1 0 .

(a) Find the eigenvalues of A and bases of the corresponding eigenspaces.

(b) Which of the eigenspaces is a line through the origin? Write down two vectors parallel to this line.

(c) Find a plane W ⊂ R 3 such that for any w ∈ W one has Aw ∈ W , or explain why such a plain does not exist.

(d) Write down explicitly a diagonalizing matrix S, and a diagonal matrix Λ such that S −1AS = Λ; A = SΛS −1 . or explain why A is not diagonalizable.

1. Why is it better to own 2 or more stocks instead of just 1?

2. Does the total rate of return formula consider the time value of money (i.e. is it annualized like a growth rate)?

3. a. True/False: Investors prefer high coefficients of variation.
b. True/False: Diversification can remove ALL risk.

4. CAPM and SML are modified versions of what model?

-Write a program in C++:

• to find the sum of the series 1! /1+2! /2+3! /3+4! /4+5! /5 using the function1,

• to convert decimal number to binary number using the function2,

• to check whether a number is a prime number or not using the function3,

• to check whether two given strings are an anagram using the function4.

important must do in (Multi-Filing) of c++

1. For this question, we define the following vectors: u = (1, 2), v = (−2, 3).

(a) Sketch following vectors on the same set of axes. Make sure to label your axes with a scale. i. 2u ii. −v iii. u + 2v iv. A unit vector which is parallel to v

(b) Let w be the vector satisfying u + v + w = 0 (0 is the zero vector). Draw a diagram showing the geometric relationship between the three vectors u, v and w.

2. Let P 1 and P2 be planes with general equations P1 : −2x + y − 4z = 2, P2 : x + 2y = 7.

(a) Let P3 be a plane which is orthogonal to both P1 and P2. If such a plane P3 exists, give a possible general equation for it. Otherwise, explain why it is not possible to find such a plane. (b) Let ` be a line which is orthogonal to both P1 and P2. If such a line ` exists, give a possible vector equation for it. Otherwise, explain why it is not possible to find such a line.

Fill in the following function to sum the series of 1 + x/1 + x^2/2 + x^3/3 + .. + x^n/n using Java Program

a. Using Matlab scripts create the following matrices (???1 and ???2)

???1 = [
3 2 −3 6 7 4 3 −6 7
], ???2 = [
2 1 7 3 3 9 −6 6 1
]   

b. Write code to add the second row of ???1 to the third row of ???2 and store results in the first row of ???1.

c. Write code to add the second column of ???1 with the third column of ???2 and store results in the first column of ???2

Considering only ions with charges of +1, +2, -1 and -2, or neutral atoms, give the symbols for 4 species that are isoelectronic with the sulfide ion, S2-

Convert the expression into postfix notation
19 + 2 ∗ 5  + (1 - 6/(1 ∗ 2))

12. Political Party Affiliation and Class level

Freshman Sophomore Junior Senior Total

Democrat 1 4 5 3 13

Republican 4 8 4 2 18

Green 1 3 3 2 9

Libertarian 1 1 2 1 5

Peace/Freedom 2 3 3 2 10

Total 6 15 12 7 55

Perform a hypothesis test to determine whether there is an association between class levels and political party affiliation.