+ find the derivate

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Q: (a) Define an inner product on P3 by (f,g) = f* f(x)g(x) dx. = Find a polynomial f(x) ax² + bx + e,…

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Q: f(x, y) = ln(+1), g(x, y, z)= e²+y+²+z²+y³+2, h(w, x, y, z) = (4r+wy)²(z-7w). 14.67=(2,4), =…

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Q: Pick every true statement which applies to the following set of vectors. {8·4)} O This set spans R^3…

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Q: Find the optimal solution (by your hand) to the following problem using KKT conditions: logo + log ₁…

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Q: Find a solution of the differential equation below using the method of Frobenius 9x²y"+6x²y'-(x +…

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Q: Given the inhomogeneous equation d²y + 1.6² y = 7.4x dz² with boundary conditions y(0) = 0 = y(π),…

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Q: g. The sum of three conscecutive even whole numbers if the greatest is x. The expression for the sum…

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Q: Etimate x sinx dx by using two foints gaussian quadrature. W₁ = W₂₁₂ = 1₁ t₁ = -0.57735, +2=0.57735

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Q: 7.9. Let T: R2 → R2 be a linear transformation. Given that 7 (2)-[-1) and 7(13)-3]. T T compute T…

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Q: For the Big-M tableau (of a minimization LP and row0 at bottom), x1 2 1.1 -1.5 -0.9 0 0 1 perform…

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Q: Q15: The cycle rule is: (A) 3 = 1 (w)₂), (3). (©)₂), ) = -¹ x ax y (B) 12 (C)21 ®G),(G,G), = 0 y ),…

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Q: Consider the following problem: Maximize z = 1 - 2x2 + 3x3 - 3x4 subject to 1 + 2x2 3 + 4x4≤2 -1 +…

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Q: 1 f(x) = .5 if 0 ≤ x < 1 2-x if 1≤x≤ 2 {2

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Q: 1. Suppose f is continuous on R and f satisfies f(x) + f(2x) = 0 for all x E R. Prove that f = 0 on…

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Q: a. 4₁ b. 10, دن ف C. d. ! 14² ~ 1 1 1 12 GN! 2 -5 a. Find the missing terms in the geometric…

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Q: Deferential_equations Ol:du = (2xy + ²) dx + (x² - 3) dy is exact differential if n = (A) 2 (B) 4…

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Q: Let A = 6³ 2 4 2 2 2 -5 4 Define a dynamical system with bo = 2 and bn+1 = Abn, for n = 1, 2, 3,…

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Q: The substitution u = x - y transforms the differential equation into which of the following…

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Q: Q3/ to find f'(s) use Newton divided differences formula X:-1 FLAS: -4 2 5 4 21 6 45 9 96

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Q: The inverse Laplace transform J (1) -2s (5s - 7) ²+25 is of the form g(t) U[h(t)]. F(s) = e

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Q: CHON With c 1 = 0.0001. 3. Consider the function (x-1)^2 + (y-1)^4, which obviously has a minimum at…

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Q: Proof If x(t) is a real function, prove that: x(t) = Co +12Cncos(nwot + arg [C])

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Q: Of the following properties of the inner product on a complex vector space, prove at least 3 of…

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Q: is 0.70. 82. What is the solution to the equation a coshx+b sinhx-c where c>0 if a^2=c^2+b^2? A. x=…

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Q: (D) y² Q24: The value of the line integral [(2x + 3y) dx +(3x + 4y)dy] where cis the straight-line…

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Q: a. The cost of having a plumber spend h hr at your house if the plumber charges $40 for coming to…

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Q: Use the zeroth order Tikhonov regularization min{||Ax-bll + a²x), with regularization parameter a= 2…

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