dz dt dw dt = = 3ezw + 8 sin(z) = cos(82)

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Q: Solve the following differential equation without a calculator dy 3=2- -9y when t= 0, y = 4. dt

A: Given differential equation, And when  .

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Q: Find the value of each of the following quantities: C(12, 1) C(8,5) = C(6,5) = C(9, 9) = C(5, 1) =…

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Q: What is the Gateaux differential & Euler-Lagrange equation?

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Q: Find all seven solution candidates for maximising subject to f(x, y, z) = x² + 4y² + 9z² g(x, y, z)…

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Q: ying Theorem 3.7 (co= 데 1 [(s-4) (s-3).

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Q: 6. Convert your pair of complex numbers to polar form.

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a {(5-0)² +6²}" y(t) = < {…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Given the functions f(x) = sinx and g(x) = = determine the range of the combined function f(x) g(x)

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Q: 2. Let V M2x2 (R). Is the subset = a subspace of V? W = {A € V|A is invertible}

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Q: Evaluate the given integral along the indicated contour C. So 6z dz, where C is z(t) = 3t³ + i(2t4 -…

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