Find the curl of the vector field F = (5y cos(x), 3x sin(y)). curl F =

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A: Use Integration by parts to solve.

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A: The given equation is  3x - 6y =-8 which can be written as        6y = 3x +8 or, y = 12x + 43 The…

Q: Task 2 (Spec 1.j). Suppose What is p(t)? L[p](s) = e-4s s(s² - 92)*

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Q: 2. Let A = 3 1 13 -1 Find A¹00. What are the eigenvalues of A100? Is A100 diagonalizable? 00 2

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Q: y' – 5y” + Зу' у - (d) x²y" — Зху' – 5:

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Q: H 4.) f(x)=x+3(1-x)% yos litrobl .nweb

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Q: Evaluate the following summations. 2 (©) Σ=_3 k3. (d) 3 Σ=o 3*

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Q: 4. 5. (x²+4) dy = (2x8xy) dx (2x + y + 1)y' = 1 Hint: Let u = 2x+y+1

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Q: en prove that there exists a rational numb =k. Hence, prove that the numbers √2,

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A: Kindly refer to Step 2 for the solution.

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