Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic function. Also find the conjugate function.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

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Q: Solve the system 5x1 -4x2 +2x3 +3x4 = +x2 +3x3 +3x4 4x1 -3x2 +5x3 +6x4 3 3 2x1 -2x2 -6x3 -6x4 -6 12 ...

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A: Given, if 2x=3y=5z=301x+1y+1z, To find                   2x+3y+5z30=?         

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Q: (B1>0 (g) If a > b and c> d, then a + c > b + d. h) If a > b> 0 and c > d > 0, then ac > bd. i) If a...

A: For (f) ,We use a theorem that "if n∈ℤ and n≠0 then n2>0.

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Q: 3. Prove by mathematical ic nzl. For evey tnteger 3+8+13+18+nt(sn

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Q: Out of a sample of 100 juice bottles, 95 bottles contain between 712 and 788 militers of juice. Use ...

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Q: FIND THE UNTQUE SOLUTION OF AU= O 34/x1<4 on SUCH THAT U(x)= 5 on xl = 3, U(x)=6 on /x/-4 2 in R 1.....

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Q: 1 (1,0) (2,0) -2 -2 4. -2 -2 (0,-3) (0,-3) Rise: Rise: Run: Run: Slope: Slope: 4. 3. 4. 42) 2. -2 -2...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

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Q: O Reverse the order of integration and do not evaluate. xp hp Show the region.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

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Q: 1. Given that Z denotes the set of all integers and N the set of all natural numbers, describe each ...

A: Given that Z denoted the set of all integers, N denotes set of all natural numbers. To describe each...

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Q: 23 x – 1 (c) lim 1 x→1 3. (d) lim a3: = 8. x→2

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