8. Solve the following quadratic equation via the two different methods, namely both classical and number field method: 1' = 231 mod 32429, where 231 (P-1)/4) = -1 mod p, 32429 = 5 mod 8.

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

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Q: Question 6 Use the substitution method to compute 9r e d. -- + K.

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Q: 3. Solve the following IBVP: Ut = Uzz + sin(37x), 00, u(0, t) = u(1, t) = 0, t> 0, u(x, 0) =…

A: Solution

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Q: A quadratic equation x^2- 4x+4=O is defined with an initial guess of x(0)=3 and x(1)=2.5. Find the…

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Q: 1. A current of 1.5A flows through a motor when it is connected to 120V. What is the resistance of…

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Q: 3) Solve For OsO<2M VZ COS O + 2öin20=sin 20

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Q: the no of iterations necessary to solve f(x) = x² – 7x + 6 in [2,7] using bisection method and…

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A: we observe that (r+1)3-r3=3r2+3r+1now apply summatoin ∑r=1n∑r=1n…

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Q: 7.32. Prove that for 0 sxSr, - ( (* .) cos 2r 12 (a) x(w-) cos 4x 22 cos 6z 32 6. (b) æ(r - 2) = 8 /…

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Q: 7.32. Prove that for 05sr, -( . ) cos 2 cos (a) a(e -a) = sin 3r sin ba (6) (r-) - 7.33. Use Problem…

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Q: Determine the two smallest positive solutions ofx + 1.5 = 10 sin x. (Hint: This requires making good…

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Q: (a) Calculate the first six iterates in the iteration Xn+1 = 1+0.3 sin(x„) with xo = 1. Choose other…

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