### Symmetric Functions

Please see the attached file for the fully formatted problems. Write the following functions in terms of the elementary symmetric functions: (u1 + u2)(u1 + u3)(u3 + u2) u31 + u32 + u33 + u34

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

Please see the attached file for the fully formatted problems. Write the following functions in terms of the elementary symmetric functions: (u1 + u2)(u1 + u3)(u3 + u2) u31 + u32 + u33 + u34

(#48) Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes? (#33) Two swimmers start at opposite ends of a 90-foot pool. One swims 30 feet per minute and the other at 20

Given f(x)= 4x squared - 3x + 2 and g(x)= 3x - 2, find each of the following. simplify the expression if possible. a. f(-5) b. f(x+h) - f(x)/ h c. (f o g)(x)

The Revenue and Total Cost eqations for a glove company are R(x)=35x and C(x)=0.25x^2 + 30.5x + 10, where x is in hundreds of gloves and R(x) and C(x) are in thousands of dollars. What is the Revenue and production Cost for 700 gloves, the profit for this problem, the number of gloves that will produce the maximum profit, the

Solve the following equation: X = 1 + (2x + 1)^1/2

Solve: -4 (x+6) < -4 -4x Is the answer, x< -10; x> -10; all real numbers or no solution? Please show step by step how to solve the inequality. Also, I came up with "x<0" but I do not know if this means "no solution" or "all real numbers" Can you please explain step by step h

Find the least number N such that 1024N-11529=15625x where N and x are non-negative integers

A store offers 2 models of scooter, a $29 model and a $33 one. An order was placed with a warehouse which totalled $2490 but the details had been lost. Can you tell the order clerk howl many of each model to send to the store? I have been applying algorithm to equations and am trying to solve integer values for this problem.

Please see the attached file for the fully formatted problems. Question1: How many dots at the outer sides of the dice. Given view is from the top of these four dice? Question2: In the newly formed shaped below do you think answer is the same or different from above? What does your intuition say without investigating? Q

Find a nontrivial central extension 1 --> Z_2 --> G --> A_4 --> 1 meaning determine a group G. Is it unique? (You may use the fact that A_4 has a normal series Z_2 x Z_2/Z3)

Prove that (a1b1+a2b2+...+anbn)^2<=(a1^2+a2^2+...+an^2)(b1^2+b2^2+...+bn^2) where ai, bi are real numbers, i=1,2,...,n

I would be grateful if someone could show me how to prove by induction the attached formula.

Please explain: ABCDE X 4 = EDCBA

PART ONE: ATTACHED PART TWO: what type of graph is: x^2 + 3y^2 - 4x + 6y = -1 A) parabola B) circle C) ellipse D) hyperbola PART THREE: Find the value of the discriminant of the equation. Describe the roots completely. Do not solve. 3x^2 + 4x - 5 = 0 A) 31; 2 real, irrational root

Find the vaule of the discriminant of the equation. Describe the roots completely. Do not solve. A) 31; 2 real, irrational roots B) -44; 2 imaginary roots C) 76; 2 real, rational roots D) 76; 2 real., irrational roots

Find the vertices of the hyperbola with the following equation: (x-3)^2/25 - (y+4)^2/4 =1 EITHER: A) (8,-4) and (-2,-4) B) (5,-4) and (1,-4) C) (3,-2) and (3,-6) D) (3,1) and (3,-9)

Find the equation of the parabola with focus (3, -1) and directrix y = 5. A) x=-1/4(y+1)^2+3 B) x=-1/4(y+1)^2+4 C) y=-1/12(x-3)^2+2 D) y=-1/12(x-3)^2-1

In a real-world problem, what are some typical action items that you may need to do in order to get to the point having an equation to solve?

The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?

This question concerns the equation 3x^2- 4x- 5=0 Choose the two correct statements about this equation Options. A. The equation has no real-number solutions. B. The equation has one real-number solution. C. The equation has two solutions x= - 0.7863 and x= 2.120 correct to 4 significant figures. D. The e

Solve the congruence 42x 12 (mod 90).

I can't remember how to solve for x. What are some problems where I have to solve for x?

Tn = a+(n -1)d sn = n/2(a + n) 4. For the series 3 + 9 + 15 + 21... Find: a) an expression for tn b) an expression for sn c) the answer if s = 20 d) the answer if t = 115 5. Find the # of terms in the sequencece 2,6,10... 626 I need a step by step procedure for solving these problems.

2. Apply the proof of the irrationality of sqrt(2) to a) sqrt(3) and b) sqrt(4). If the proof breaks down, indicate precisely why. 3. Euler's phi-function is defined such that for n > 0, phi(n) = |{m < n: gcd(m,n)=1}|. So, e.g., phi(4) = |{1,3}| = 2; phi(5) = |{1,2,3,4}| = 4. a. Show that for prime p, phi(p) = p-1.

One lighthouse is 60 ft hgt. An opposing lighthouse is 176.5 ft high. The distance between them is 3281 ft. The 60 ft lighthouse beam is 3281.54 ft. The 176.5 ft lighthouse beam is 3285.74 ft. At what point do they cross?

A college student humorously asks his parents to charge him room and board according to this geometric sequence: $0.01 for the first day of the month, $0.02 for the second day, $0.04 on the third day and so on. Find the total room and board he would pay for 30 days.

The game of pool uses 15 balls numbered 1 to 15. In a variety called rotations, a player who sinks a ball receives as many points as the number on the ball. What is the score of a player who sinks all 15 balls?

On Monday, May 26th/03, I posted the following question to which a solution was provided by Remus Nicoara, PhD (IP). I thank Remus for his assistance and solution. I'm interested in knowing what the solution would look like if for each term, the y elements are randomly determined. Original Question In a specific sequence t

Find to the nearest tenth, the positive real roots of f(x) ~= x^2+x-1.

Solve for y: 2x - 5y = -1