I am trying to learn this material on my own to prepare for a future graduate course. I would like to see the solutions to this problem to have something to imitate when working other problems. Decide which (if any) of the following are isomorphic to which: (a) D3xS4 (b) D6xA4 (c) D4xD9 Dn=dihedral group of order 2n, A
9. The temperature distribution u(x, t) in a 2-m long brass rod is governed by the problem ...... (a) Determine the solution for u(x, t). (b) Compute the temperature at the midpoint of the rod at the end of 1 hour. (c) Compute the time it will take for the temperature at that point to diminish to 5° C. (d) Compute the ti
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The width of a badminton court is 24 feet less than its length. Find polynomials that represent its perimeter and area. The actual length of a badminton court is 44 feet. Evaluate these polynomials to find the perimeter and area of the court.
Classify the following PDE's as elliptic, parabolic or hyperbolic. If mixed, identify the regions and classify within each region. (b) xuxx - uxy + yuxy +3uy = 1 Please see the attached file for the fully formatted problem.
A sequence is define recursively by A0 = A, and An+1 = An /1 + nAn. Determine A2001.
Find the exact value of the expression using the provided information. Find tan (B + C) given that sin C = 1/4, with C in quadrant II, and sin B = -1/2, with B in quadrant IV.
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A car has a mass of 1.4 tonne. The distance between the front and rear wheel axles is 3.6 metres and the centre of mass is positioned 1.5 metres behind the front wheel centre and 0.8 metres above the road level. These details are shown in Figure Q1 below. Figure Q 1. Car on horizontal road The car, initially travelling at
Find a basis and the dimension of the solution space of the homogeneous linear system Ax = 0 where .... Please see the attached file for the fully formatted problem.
Suppose that... Use Lagrange's Theorem Please see attached.
1. Your patient is admitted from the Emergency Department with a dopamine infusion running at 16 ml/hour. The dopamine bag is labeled as 400 mg dopamine in 500 D2W. Your patient weighs 50 kg. Calculate the dose the patient is receiving. Your answer should be in mcg/kg/minute. 2. Patient is an 18-month-old experiencing profo
How would I graph this equation? (X-3) (X-6)>0
You are opening up a restaurant, initial cost of opening the restaurant is $80,000, plus $4,000 monthly expenses. Estimate f(x)=xsquared - x + 5 to be the anticipated monthly profit of the restaurant in hundreds of dollars during the xth month of business. To break even your total profit from the opening of the restaurant must
15. Solve the inequality and graph the solution on a number line -2( x + 5) < ( x - 4 ) - 5x
The formula D^2 = 4050 / i indicates the amount of illumination (i) , in foot-candles, produced by a light source relative to the distance (d) from the source. How far from the source is the illumination equal to 50 foot-candles?
In t years from 1995, the population (P, in thousands) of a community is described by P =30 - 12/t +1 . When will the community have a population of 27 thousand?
I need some pointers on how to get started... Problem: Create your own linear picture Draw picture with straight lines only, then create a key with equations and restrictions for each of the lines in the picture. Must include the following: - picture drawn on graph paper - 10 lines minimum - 2 quadrants minimum - 1
If Q = a - bp Q = c + dp then I can derive that: p = (a-c) / (b+d) How do I derive that: Q = (ad+bc) / (b+d)
The attached question is a variation on Fermat's Last Theorem. I would be grateful to anyone able to solve the problem. I would be grateful to anyone able to answer and prove the answer to the following question: If a, b, c and n are rational numbers, but they are not integers, do there always exist a, b, c and n such
Please see attachment ... NOTE: I need help for part iv) only
The waste hauling company profits are stated as the difference between revenue and costs. That is P(x) = R(x) - C(x), where x is the number of tons processed. Find the maximum profit and the number of tonnage which must be processed in order to yield the maximum profit for each of the following: a) R(x) = 5x; C(x) = 0.0001x2
Use the elimination method for systems with constant coefficients to solve the following system of equations.
(D-3)[x] + (D-1)[y] = t (D+1)[x] + (D+4)[y] =1
I'm thinking of a 6-digit number. The sum of the digits is 43. And only two of the following three statements about the number are true: (1) it's a square number. (2) it's a cube number, and (3) the number is under 500000
#4. Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). a. What are the 16 outcomes in the sample space? b. Which outcomes are in the event that exactly three of the selected mortgages are fixed rate? c. Which outcomes are in the event that all four mortgages are of the same type?
1. Let N1(p) denote the number of pairs of integers in [1, p - 1] in which the first is a quadratic residue and the second is a quadratic nonresidue modulo p. Prove that N1(p) = (1/4) (p - ( - 1)^((p - 1)/2)) 2. Let N2(p) denote the number of pairs of integers in [1, p - 1] in which the first is a quadratic nonresidue and the second is a quadratic residue modulo p. Prove that N2(p) = (1/4) (p - 2 + ( - 1)^((p - 1)/2)) 3. Let N3(p) denote the number of pairs of integers in [1, p - 1] in which the first is a quadratic nonresidue and the second is a quadratic nonresidue modulo p. Prove that N3(p) = (1/4) (p - 2 + ( - 1)^((p - 1)/2)) 4. Use the results of theorem 10-4 and corollary 10-1 to construct solutions of x^2 + y^2 =29. 5. Prove ( without assuming corollary 10-1) that, if p is a prime ≡ 1 (mod 4), then there exists positive integers m, x, and y such that x^2 + y^2 =mp, with p ┼ x, p ┼ y, 0 < m < p [ Hint: use the proof of Theorem 11-2]. Theorem 10-4: If p is an odd prime, then ν(p) = (1/8)p + Ep where | Ep| < (1/4)(p)^(1/2) +2. Corollary 10-1: Every prime p ≡ 1(mod 4) is representable as a sum of two squares. Theorem 11-2: For each prime p there exist integers A,B and C, not all zero, such that A^2 + B^2 + C^2 ≡ 0 (mod p).
Theory of Numbers The Distribution of Quadratic Residues Sums of Squares Sums of Four S
(k-4)(k+9) - (k - 3)(k + 7)=0
Please make m the subject of the following equation. r=mv/Be
Please address the following problem and include all of the required steps. Solve: Find the slope intercept form of the equation for the line parallel to y=4/3-1 that goes through points (6,-5).
1) Find the Shapley- Shubik distribution (in percent) for the system (7: 5,3,2,1,). 2) In a cafeteria every meal has a 5 choice main course, a 3 choice salad, and a 2 choice soup, and a 4 choice dessert . If some one ate a different complete meal every day, how many days could he eat before he would start to repeat a meal?