Problem 2. Consider f (x) = cos(x) f approximate ). given function at X0 = by making use of the first 10 terms of the Taylor Series expansion of J (). Solve the truncation error.

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Q: : FaF = 315.4312 N (Teasile) ŹFi=o > FGF Cos67.5+ FaHCos67.5+Fg0 =0 Fao =- 315.431a Cos67.5-207.192…

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Q: . Swap the order of integration for fo S f(x,y)dydx.

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Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral x³ + x)dx.

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Q: 2. Suppose X is a continuous random variable with 0 sXS 2. Which, if any, of the following functions…

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A: The solution is given as

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Q: Find all solutions in {0,1,...,43} to 6x=10 mod 44

A: In general,  ax ≡ b (mod m) has solution if gcd(a,m) divides b    If gcd(a,m) = 1 then solution is…

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Q: 6. Solve the initial value problem. ( tan (4y) - 1)dx + | 4x sec (4y) + dy = 0, y(0) = 1

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Q: Use variation of parameters to solve the given nonhomogeneous system. dx 2х - у %3D dt dy 3x 2y + 8t…

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Q: 1?+Az-5 dx 23-1 Evaluate: 글 미교2 2 + 11| + 5v3Arctan (똥(2z + 1)) +C 글피교2 + z+ 1|- 3v34rctan ((2z +…

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A: Solution :-

Q: tactorization of Find the Gaussian 50 in pcime

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Q: 4. Express (-2/3+ j2) in rectangular form.

A: Rectangular form of the complex number

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A: Fourier Cosine series expansion of the function

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Q: 6. Let F (x,y,z) = (x+ y, –2y + z, 8z – x) and let U be the sphere where x? + y? + z² with…

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Q: We will solve the differential equation: y'' - 0.75ty' + ty = 0 where y(0) = y'(0) = 4 using the…

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Q: . Solve the following system of equations with the Gauss-Jordan elimination method. 4x, + 3x2 + 2x,…

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Q: (j4+43)(2cjs(-35°))* j" (32cjs40°) 5. Let @= .Simplify o and write it in rectangular form. -63

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P'AP is diagonal. (If not…

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A: This is a problem of the differential equations.

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Q: 11) 2(1-e Ans. F(s)- e ") Rnd the Laplace Tvans Form 2.

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Q: 3blving liner differential equations dy +29 tanx = Sinx

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