2.) lim cot x- sin 2x cotx-1 3.) lim x0 cotx+1

Q: 1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 -…

A: GIven equations in matrix form: AX=D 123452-34-5111-1-115-4-32134-3-46x1x2x3x4x5=510897

Q: 6. A solution contains 2.12 moles of NaCl dissolved in sufficient water that has 1750grams mass.…

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Q: Q3: (A) Prove that 1. There is no simple group of ord er 200. 2. Every group of index 2 is normal.

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Q: Q3: Prove or disprove any four of the following 1.Any abelain group is simple. 2. Any field is a…

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Q: In (In y) xy³ dx + x²y2 dy + In x dy = 0 dx + %3D y In y

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Q: |4x dA R.

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Q: Qi: (A) Let R =(Z12+12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a field?…

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Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

A: We use properties of matrices.

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Q: 9. Show the function f(z) =1+ 2i + 2Re(z) is differentiable or not differentiable at any points.

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A: To show: An example of a second-degree equation matrix which is in vector space.

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Q: Use the Euler method's SelveLue:- y) - Chっe.2 ノ

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A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

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Q: cos t- sint i+ cos t- sint) sint+ cost) i+ cost- sint j, N = 1 j. and K= For the space curve below,…

A: To find- For the space curve below, T = cost - sint2i + sint + cost2j, N = -cost - sint2i + cost -…

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Q: (B) Define the triangle group. Then 1. Find all subgroups of it. 2. Is it abelian? Why?

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Q: Consider the following sets: U= {set of integers) A = {3, 6, 9, 12, 15, 18} C= {3, 6, 9, 12} E=(3,…

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A: Solution

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A: Given: 5) a∈A 6) a,b∈A To find: Table

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A: Solution