Estimate the minimum value of n (number of subintervals) so that the error in dx approximating the integral using trapezoidal rule is less than 10-4. (x−1)² 14 20 18 O 16

Q: U₁ = Uxx, 0≤x≤ 1,1 € R+

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Q: 8. Recall that we can define an inner product on the set PC[a, b] as follows: (f.g) = ["f f(x)g(x)…

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A: I have explained everything with in the solution ,please go through that

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Q: Please try to explain how did you solve it Q: Solve the following congruence 5x+8 ≡ 11 (mod 22).…

A: We are given the congruence relation          5x + 8 ≡ 11 (mod 22)        => 5x ≡ 11 - 8 (mod 22)…

Q: Problem A: For a>0 show that √x+ Problem B: For >0 show that if r 2.

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Q: Prove: If n, m € Z and 17n² +29m³ = 5, 492,346 then n and m are either both odd or both even.

A: See that the right-hand side of the given equation 17n2+29m3=5492346 is 5492346 is an even number.…

Q: 3. The equation y = ca² is the one-parameter family of solutions of which of the following…

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Q: 6 So. xdx 3√√x-3

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Q: 1 0 0 1 0 1 2. Let G= 0 1 0 0 1 1 be a generator matrix for a binary linear code C 0 1 1 1 0 a. Find…

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Q: Solving this KenKen puzzle, what number should be in the "?" location? 2+ 1- 3- 7+ 14 ? 4x 2-

A: We have given a kenken puzzle , the puzzle is 4*4 type so we can use only 1,2,3,4

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Q: Evaluate JR faydA, where R is the the region inside the disc of radius 1.

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Q: If we multiply the Legendre polynomial of degree n by an appropriate scalar, we can obtain a…

A: We use the generating function of legendre polynomial.

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Q: a) (A) = AU b) (An B)⁰ = Aºn Bº c) A° U B°C (AUB)⁰

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Q: Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }, A = {1, 3, 5, 7 }, B = { 3, 4, 5, 6, 8, 10 }, C = { 2, 4,…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Consider the functions and ₂ = |x| They are linearly…

A: Given that the functions y1=x and y2=|x| are defined on the interval (-1,1). We must show that these…

Q: Find the numerical solution of the following non-linear differential equation in interval [0-1]…

A: We are given that       y’(t) = dy/dt = (y - 2t)2e-2t     => y’’(t) = d2y/dt2                   =…

Q: 4. Sketch a graph of a function g that satisfies each of the following. (Feel free to use the…

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Q: estimate the mean for the following frequency table

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Q: Заг 3. If b₁ +2a₁ 20₁ A 6 302 b₂ + 2a2 202 303 a₁a2 a3 b3 +2a3 = k b₁ b₂ b3, then k = 203 C₁ C₂ C3 B…

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Q: Use the following function to find f(9) and f(0). f(x) = 4x - 3 f(9) = f(0) =

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Q: Find the solution of the differential equation y" + y + 4y = 2senh(x)

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A: here we solve the solution of part a)

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A: Laplace transform of the differential equation:

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Q: 1. Find the area of the entire region that lies within both of the following pairs of curves. r = 2…

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Q: Let 6.5 -17.5 -2.5 1.5 Use the Gram-Schmidt process to determine an orthonormal basis for the…

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Q: Use the method of variation of parameters to determine a particular solution to the given equa y'"-…

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Q: 1. Which of the following is a subspace of R AW₁ = {(x, y, z) € R³ | x+y+z>0} BW₂ = {(x, y, z) € R³…

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