Prove the Rodrigue's formula ?

Q: Use Gauss-Jordan Elimination to solve the following system. Identify the Gaussian Matrix and the…

A: We use Gauss-Jordan Elimination method to solve the given matrix.

Q: A graph has a. Vertices O b. edges O c. A function that tells which two vertices are connected by a…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 1. The coefficient a, of the Fourier series of the periodic function f(t)= (2t 0<t<2 0 2<t<6 is…

A: Some of the books use the Fourier series as first coefficient a0, some of the books use this as…

Q: A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are…

A: Given: Let's look into the London Eye, which is one of the most famous Ferris wheels in the world.…

Q: . Use Taylor's series, to prove that Bin z tan (x+ h)3Dtan%4 (h sin z). sin 2z +(h sin zj?. sin 3z -…

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Q: (За? + Зт?) da - 6атӑт —D 0 a-C = a² – m² aC = a² • 2 %3D Option 1 Option 2 С -а + т

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Q: 1 -1 2 -1 1 1 A = 1 1. 2. 1 1 3. 3 2 0. -10 0 -10 want -5 0 0. 2. B = 2 10 4 -5 -4 -2 From the given…

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Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

A: Linear integral of Differential form

Q: Match the theorem or rule for what it justi 25 One pair of consecutive sides are congruent It has…

A: Given: One pair of consecutive sides are congruent:  It has been proven to be a mombus and a…

Q: Solve the following initial value problem using Laplace transformation d?y + 8y = cos 2t with y(0) =…

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Q: Find all proper nontrivial subgroups of Z; × Z, x Z;. Find all subgroups of Z; x Z, of order 4.

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Q: 10. Find the value of 5368 (mod 41) Answer: Show your work here:

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Q: Let {xn} be a bounded sequence of real numbers. Prove that {xn} converges if and only if lim inf xn…

A: Proof

Q: Prove that if S is a bounded set then S is bounded.

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Q: Ax) = Ln=0 n! e Show that: GAx)dx = En=1 n(n+1) (–2)"-1 (n +2)! ||

A: Here we use integration and series theorems to find the solution.

Q: The measure of arc BC is 97 degrees. What is the measure of angle BCE to the nearest 100th? C D Type…

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Q: Solve the following system of linear equations: 2x + 3y – 4z = 1, - 2w + x + y+ z = 0, w – x + y – z…

A: Given system of linear equations is w−2x+3y−4z=12w+x+y+z=0w−x+y−z=−1........1 We have to find the…

Q: You work for a utility company that burns coal to generate electricity.  The cost C (in dollars) of…

A: given cost function C=100,000p100-p where C is the cost and p is amount of smokestack pollutant. (1)…

Q: 3. Using the following table find f(x) as polynomial in x -103 6 7 f(x) | 3 -6 | 39 822 1611

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Q: True or False: An inscribed triangle divides the circle into three arcs, 148°, 200° and 12°, then…

A: Given : A triangle divides the circle into three arcs 148°,200° and 12°

Q: (a) Write T as multiplication by a constant matı b) Solve the equation T (c) Solve the equation T

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Q: 12. The graph of f is shown below on the xy-plane. Explain why y = 0.8(x – 1) + 0.4(x – 1)² + 0.1(x…

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Q: Q3) By using Graphical Method. Find the optimum solution of X1 and X2 that the maximize Z=X1 + X2…

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Q: Consider the function f(r) = r+1. (a) Express f(x) as a Fourier-cosine series, on the interval…

A: Given the function fx=x+1. (a) To write the Fourier-cosine series of fx in the interval 0,5. It is…

Q: Let FCK be a field extension, wl

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+ C be the antiderivative of G(x) = (x + e*)“, Determine the value…

A: The given problem is to determine the value of f(x)+g(x)+h(x) for x=1.69 where F(x) =…

Q: 10. Which of the vectors U =, V = and W = are in the same plane?

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Q: Construct a Venn diagram to illustrate the possible intersections and unions for the following…

A: Here we use basic form for Venn Diagram.

Q: For which p= 3 mod 4 is i a square in F»[i]? For which p = 3 mod 4 is i the square of an element in…

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Q: Find a primitive root (i.e. a primitive (p? – 1)st root of unity) in F3[i], and write down the…

A: F3i : It is the unique field of three elements. It can be defined as the ring of integers of modulo…

Q: • Exercise 2 Assuming that i) the sequence of functions {fn(x), x E [0, 2]} converges to f(x) in…

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Q: Graph the inequality on a plane. X+ys3

A: Graph in xy-plane

Q: 2 : 1+ai and w=2-i which of the following is equivalent to ū 9. I+i c. 1-i 6. - 3 +i d.1-3i

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Q: Particular solution of y' = x+xy²/4y, y(1) = 0

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Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

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Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote oo and MINF…

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Q: In Table 12.5.1 on p. 135 in [Biggs] (Page 11 in the Cryptography compendium), the different cycle…

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Q: () Consider matrix A = and vectors x = and y = Calculate matrix B = (A – A")² and vector w = Bx.…

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Q: 3 – i -2+i 1 a) P = Ye= -2+i b) P = Yes No -i 0

A: Unitary matrice.

Q: Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R =…

A: We find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q =(4,-2,1)…

Q: The equatiokn  Y = (x,y)T  is given as a vectorfunction with 2 components and A = table below 3 2 2…

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Q: What is the relation between Beta function and gamma functions and also find В5,3).

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Q: PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the…

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Q: How much is the minimum cost for this assignment problem? 87 89 O 92 O 94

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Q: Prove: If S is compact, and ƒ is continuous on S, then ƒ takes a minimum value some- where in S.

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Q: factor

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Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: Define the sequence {b, } as follows: bo 1 bn bn-1 +n for n > 1 Use induction to prove that an…

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Q: Example: Solve the following system of linear equations using Crout method. 1 1 -4 -1) x2 = (2 0 -1…

A: Given a system of linear equations                                                 4101-4-10-14…

Q: 2. In the midyear of 2020, a country's population 109,581,078 with a growth rate of approximately…

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