1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

Q: Calculate: 4+ 3i (a) -1- 3i (b) (1 + i)(3 – 4i)(4 – i) = i(2 + 2i)³ | (c) (3 – 2i)² ||

A: Given that: (a)4+3i-1-3i(b)(1+i)(3-4i)(4-i)(c)i(2+2i)3(3-2i)2   NOTE: As per our answering…

Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

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Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: Find the order of: (c) (Z/100Z)*

A: We will use the fact that U(n) is isomorphic to (z/nz)^× to find order .

Q: F(1) = 6 and F(n)=3x F(n-1)nz2.

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Q: (213)(4*) Simplify (8+3) O t3 2 O 2t3 O 1

A: Solution:-

Q: 6 - 1 2 Compute A - 31I, and (312 )A, where A = - 5 4 - 5 - 3 1 2

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Q: Evaluate f (x + y - z)² dV for the box B with dimension: [0, 8] × [0, 7] × [0, 3]. B (Use symbolic…

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Q: J E1 = (J – 2) i = 3

A: This question can be solved using the concept of series.

Q: (- 1)"x" Σ 6" (n² + 9) n=1 8.

A: Given

Q: Q1. find the sum by adding each term together. (3i + 2) i=1 1 k2 + 1 k=0

A: ∑i=163i+2 ∑k=041k2+1 ∑ck=07

Q: k-1 k-1 C1(k) = A + 1/½ 2* + 3½i²(/½)* i=0 i=0 A – 1/½(1 – 2*) – 6[(1/½k² + k + 3/½)(/2)* – 3/2] =…

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Q: Suppose that 1.² 1 (1 + x2)3/2 dx = 1½ Then a =

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Q: [7 0] Consider A = 5 7 and find AA" and ATA and AA"A or explain why these products do not exist.

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Q: 4(-1)" Σ 3) Estimate 2N 1 correct to one decimal place. N-1

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