d E A. By power series, prove that: -cosx = -sinx dx

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A: We have to solve the integral

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Q: The solution of xy' – y = 2x°, y(1) = 4 %3D (A) y = x³ + 2x (B) y = x² + 4x (C) y = x² + 3x (D) y =…

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: True: the Pareto Principle is  to help  separate the “vital few” problems from the “useful many.”…

Q: Q3: A- Use Greens theorem to evaluate the circulation or flux for the velocity field S(x, y) =- x+y…

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Q: Q4: A. Find the Eigenvalues and the corresponding Eigenvectors for A = 1

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Q: 5. 9. 1 0 5 8 5 1 2 For matrix A = and B = find BA. 4. (37 41 41 41 A. 29 41 29 37 (41 29 41 41 С.…

A: Do matrix multiplication.

Q: 21. Suppose A is a field and suppose also that A closed under countable disjoint unions. Show A

A: This is a question of measure theory.

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Q: Find the probability of getting an even number when a die is thrown.

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Q: All of the following are true for mean EXCEPT *

A: Here use basics of measure

Q: Find the angle between the tangents to the curve R(t) = ti + 2tj – t°k at the points t = +1

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A: Solution:

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Q: Define p: Z16 Z16 by p(x) = 4x is a homomorphism then Kerø = a) {0,12} b) {0,4,8,12} c) {4,8,12} d)…

A: Given  ϕ:ℤ16→ℤ16  by ϕ(x)=4x is a homomorphism. To find: Ker ϕ

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Q: if Qi is the quantity of Wheat and Pi is the .3 price of wheat and you wont to do the following…

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A: We need to find y(0.2).