Q 1- Find the solution to the following system of equations using the Gauss-Seidel method. 10x + 2y + z = 9 2x + 20y 2z = -44 -2x + 3y + 10z = 22 Use 8-8 0 as the initial guess and conduct two iterations.

Q: 3 Let n + 2 2-5 3 f 1.789 1.691 1.505 1-416 1-341 find £ (1-5) + £' (1-2) 6 1 (1-5) 6 € (1-2) by…

A: Solution : y=f(x) Newton's forward differentiation table x y ∆y ∆2y ∆3y ∆4y 1 1.789…

Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

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Q: اعاتهم العلامى مد (مولار = ( ( , ) = x2( 5- )

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Q: 8. The general solution of y" + y = 2x sin x

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Q: t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: 2. For each matrix or linear operator determine the following: • The characteristic polynomial f(t)…

A: If every eigenvalue is regular then the matrix is diagonalisable, that is geometric multiplicity…

Q: I Given the boundary of the surface of a cylinder 0 < p ≤ 3, 37375052131, 1525 1≤z≤2, determine the…

A: Given the boundary of surface of a cylinder                 0≤ρ≤3              π3≤ϕ≤π2…

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A: Given B=ℚ∩0,1 a function f:ℕ→B defined by  fn=an where an=1-nn+1

Q: Given f(x) = 3x³+6x+13 and g(x)=2x-5. Evaluate (f+g) x. Given f(x) = 2x+1 and g(x)=x²-5x+6. Evaluate…

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Q: What is integration?

A: We have to define the term integration. Integration:- The antiderivative of a function fx is called…

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A: Formula: The area of the region bounded above by the graph of y=fx and bounded below by the graph of…

Q: Determine if the series is convergent or divergent using Ratio test. Σ 42n+1(n+1) n=1

A: Solution

Q: Consider the region given by z ≤ 2, x+y 23, 2 2 + y - 254, x, y, z 20 (a) Formulate the problem…

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Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: . Determine the Fourier transform of the given function: t, f(t) = {2t - } 0 < t < 1 0<t<2 - 1, 0,…

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Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

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Q: 10 5-2 sin a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: given curves r=105-2sinθ (A) find the eccentricity and identify the type of conic. curve can be…

Q: Exercises 3.13 Function f(x)=3x²+6x-5 is given. 1. Calculate the value of df/dx at x=1 using the…

A: Solution :-

Q: Show that Let ECR" is measurable set. If µ(E) >0, then E have a non-measurable subset

A: Here, we introduce the notation Gr :=G∩[0, r) + 1-r ∪ G∩[r,1) - r for G⊂[0,1) and r∈R. Note that…

Q: let m, n exist in the integers. n does not equal 0. prove that if n2 x2 - 2mnx+m2 = n2, then x is…

A: x is a rational number proved directly.

Q: Q2: Determine the solution of each of the following initial value problems: vy-ce-, y" -y = 2x, y(0)…

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: Find the closest line to the points (1,4.5), (3, 4.5), and (4,1). Identify the following components:…

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Q: d² w d² w dx² ' dy² 1 √x² + y² 1 y Exercises: W= w = tan >|×

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Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is  S=2πrh Volume of the same…

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A: a. Interest rate is 3% per annum.  So interest rate per month = 312=0.25% So interest rate per month…

Q: f(x) = 0.2 + 25x -200x2 + 675x3 – 900x4 + 400x5

A: Here I write a python to solve this question. Here step size is 0.2 so number of interval is…

Q: 3s-8 482 +25

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Q: Jse Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: Determine the value of k if the L[ tkt ] = 1/(s² - bs + 6.0).

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A: Given the equation  x''+2x'-6x=2x0=0, x9=0

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A: It is a basic questions of 3-D geometry , we have equate the equation only

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Q: Determine the value of k if the L[ tkt ] = 1/(s2 - bs + 6.0).

A: Solution

Q: 2. Consider the differential equation (2 − x²) y" + 2xy′ – 2y = 0 (a) Verify that y = x is a…

A: Given differential equation is 2−x2y''+2xy'−2y=0.....1. a We have to verify that y=x is a solution…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = eV¹- guaranteed by…

A: Please see the attachment

Q: 16. Let f: R S be a ring homomorphism with J an ideal of S. Define I= {r ER| f(r) € J} and prove…

A: Given :  f : R →S be a ring homomorphism with J an ideal of S. To prove :  I = r∈R : f(r)∈J  is an…

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Q: 2 2- X dy dx dy d x y +34 X/2 e Sinx x 2

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Q: Evaluate the integral: */ - — csc? rdr. π/4 Find the derivative of the integral function: g(x) =…

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Q: Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² +…

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Q: Find the current in an LRC series circuit at t = 0.01s when L = = 0.2H, R 80, C = 12.5 x 10-³F, E…

A: Given that   t=0.01sL=0.2HR=8ΩC=12.5×10-3FEt=100sin10t Vq0=5Ci0=0A

Q: Proposition Let f. X bijective waap then the following statements are (1)-(2) (2) => (1) (2)→ (3)…

A: A function f : X to Y between two two topological spaces  is said to be a homeomorphism if it has…

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Q: Find the general equation of the conic with the given properties. An ellipse with one focus at…

A: We have solve given problem:

Q: which one one of the following statements. As incorrect 55 @B = [²16 SAT -5 ]-XBT)T=B --26 Sint -9 b…

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