2. N(T)=2271-130M +85,+ 6 M<36 7(1) = 34 +1,7 Find the comfasite for

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A: Solutions

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Q: O Discuss he Singularities and Paks ZE Sinz (--2)(Z²-)}(Z"+ SZ+6)(2+7)(214)

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Q: 2. Solve f e** using Simpson's 1/3 Rule with n = 8.

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Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

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A: We have to solve given problems:

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Q: a. 2,526sinx + 2,526cosx Yp 29 b. yp 89 3 M 7,930sinx + 7,753cosx 91 3 = c. Yp 3,290sinx +7,753 cosx…

A: We will find the particular integral.

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Q: and p(n) iF IF Fon) = 4 sec t dz.

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Q: Q4 Legendra polmomial Pe (X) =2 + (3x+1) than Prove that (2u+1) Puck) =Pmnil (X) -P(X) n-1

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A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…