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

Q: -7 dx (x – 2)(x2 + 4)

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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: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: Σ n=1 (-1)"-1 √2n – 3

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Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

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: 8-3 (IB) The value of linn is 3r21 (A) - (B) 등 (C) 0 (D) 6. (E) DNE (F) O E OF Oc OD 17

A: Solve limit

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: (2x y 2*) (x*)(x-17) (8m'n*)(7m*n") 18a b'c 6a b

A: (a) 2x2y3z43 Simplify as, 21×3x2×3y3×3z4×3=23x6y9z12=8x6y9z12

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

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Q: (b): Evaluate: SS (16t³ – 12t² + 5)dt

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Q: ba Find f"(x) for the following function: f(x) = (x-4)' Ch Evaluate the following summations: 66 400…

A: Use function property for finding inverse .

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: (ii) Obtain the canonical product of sum expression of Y(A,B,C) = (A + bar B)(B + C)(A + bar C)

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Q: (- 1)"x" Σ 6" (n² + 9) n=1 8.

A: Given

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

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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: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

A: Multipart:  We need to expand given summations ,  We know that , summation is the addition of…

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

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

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Q: L{tcost + sint} 3. 2s a. (s²+1) 2s b. (s²+1)² 2s² C. (s²+1)² 2s² d. (s²+1)

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Q: e2z – (1 – i)e – i = 0 -

A: Given Equation is : (ez)2 - (1-i)*ez - i = 0 Lets assume , ez = x Now solving for x :

Q: Q3: (x² D²+3xD+5)y=(lnx)²

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Q: Ext (A) n Bd (A) + Ø True False

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Q: 3x -4y-2 3x-4y-2

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Q: 1 2 -1 1 0 -^-3---[+49] B = 2 -2 1 8. Let A: (a) AB (b) BA (c) ABT Find the following or explain why…

A: Since, you have posted a question with multiple sub parts, as per guidelines we are supposed to…

Q: Evaluate L{cos² 3t} s² – 18 a) s(s² + 36) s2 – 18 b) s(s² – 36) s² + 18 c) s(s² + 36) s2 + 18 d)…

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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: Rewrite rnan(r – 2)"--2nan(x – 2)"- +n(n – 1)an(x – 2)"-2 n=1 n=1 n=2 in the form b, (r - 2)".

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Q: (C (g+1)n-((q+1)²-1) (g+1)n-[(g+2)²+(5q+3)] n-(q+1) (₁-2-(79+6)) II 1 + [²_o (q+1)k-(q+1)t-q k=1 = ⠀…

A: Given: The Information that leads to the required proof.We need to show the equations marked in red…

Q: Evaluate: +(1+x+x² + x³)e-4x² dx Evaluate ¹/² √cose de 0

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Q: a) f(t) = esec(20) + In(2t² + 5)

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

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