3)What is the x term in the Taylor expansion for xe* when a = 0? A)F B)F C)P D ) 1 when a = =1 ? What is the fourth term in the Taylor expansion for 4) A)2(1 – x)° B)2(7 – 1)° C)(1- 2) D )(x – 1)³

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Q: Prove that %3D 3 and hence. deduce that. 3--(n+3)Jn43+ (n+s)Jnes to 2.

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Q: 10 Find the cofficient of z in the expansion of (1 – 2x + 3z) (1 – z)".

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Q: such that ab = 1 b) : In Z3XU3, Find the order of (1, 2). Show your work.

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Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

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Q: 4. Prove C(n, r) = C(n- 1,r- 1) +C(n- 1, r) %3D using a combinatorial proof.

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Q: 6. What is the coefficient of x'y" in the expansion (4x + 5y) s. Show your work here:

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Q: 8.8.18. Use a known Taylor polynomial with n nonzero terms to estimate the value of the integral. n-…

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Q: (c) Evaluate d Gosh: where C: |z| = 2 by using Cauchy's residue theorem.

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