2. Simplify and make sure to show all your steps a+2. (x¹a-3)(x²+3 (x²+3) a) b) 3 -12 64m 10 100m¹

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Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

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Q: Judging by appearance, classify each quadrilateral in as many ways as possible. 1. 2. 3.

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Q: 17: Which of the following directions is descent direction for f(x) = 2x1 + x² - 2x₁x₂ + 4 where Xo…

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Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y) = * x² + y²…

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Q: Find the Inverse Fourier transform of re-l

A: This is the problem of Harmonic Analysis.

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Q: Se²x s sin 2x dx 1. Solve (i) The integration by parts method. (ii) The tabular method. using the…

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Q: V₁1 V₂ Suppose G is a undirected graph with vertices V₁, V2,V3,V4,V5 with adjacency matrix V3 V4 V5…

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Q: x³y" + xy' - y = 0 ; y=x

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A: We know the definition of Congruence ,  Suppose m be a positive integer , we say that integers a and…

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Q: 5. Interest rate. A 2-year loan of $4650.25 accumulated $269.75 in simple interest. Calculate the…

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Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

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Q: 6: The function f(x) = x + x² - 16x₁ - 4x₂ has minimizers points at A: [] and [2] B: [2] and [4] C:…

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Q: A manufacturing process has marginal costs given in the table; the item sells for $34 per unit. At…

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Q: The multiplicative inverse of x²+x-1 in Z5 [x]/ is: O x^3 O x+1 O x^4 O None

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Q: By using the unlimited coefficients method, choose the correct answer for this equation y"-y'-2y=0…

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Q: go, he has not finishec ce between the bracke

A: To explain the true or false as,

Q: Let 21 = 8(cos(190°) + i sin (190°)) and Z2 17(cos(14°) + i sin(14°)). = Compute each of the…

A: If z = r e^(i x) implies z = r ( cos (x) + i sin (x))

Q: -1 3 -6 -4 -3 4 Let y = ,Vi= " 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

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Q: Simplify the rational expression by using long division or synthetic d x4 +9x³3x² 18x + 2 x²-2 | x²…

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Q: 3. Use the Laplace transform to solve the given differential equation. 2x - 4y = 4, - y' + 2x + 2y =…

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Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y): = x² + y² +…

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Q: PAPER 1 12015 2 The polynomial f(x)-ax-15x²+bx-2 has a factor of 2x-1 and a remainder of 5 when…

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Q: 12: Apply Newton's method with line search for f(x) = x₁-x2 + 2x² + 2x₁x₂ + x2 with a starting point…

A: We have f(X) = x1-x2+2x12+2x1x2+x22

Q: 3.₁ Don takes out a 10-year loan of L, which he repays with annual payments at the end of each year…

A: Given: L=100Da10|i To find: Value