1 Let f(z) = ((z -3i)² + 9)ez-3¹. Evaluate f f(z)dz, where C is |z − 2i| = 2, positively directed. a) 0 b) πί c) O a. O b. O C. O d. 9ni 55 πί

Q: N 3 -1l Find the adjoint of A: A =| 1 6 3.Then verify that A (adj A)= (det A)I. 2 -4 0

A: Verification:Compute adj(A) as follows.

Q: Let u = 4 + 3i and v= 6 + 1i. Then u+v= น-บ= Uxv= + + + u÷v= + rea e e Hint: Remember that

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A: The given matrix is A=3iii-i.

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A: tt-1t=6

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A: Given

Q: Find Cマ×F ) マ if F (Miyız) 398 sin ni + COs C 8M - gy) t 10zK

A: Given : Fx,y,z = 8sinxi + cos8x-9yj+10zk

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A: The objective is to find the double integration where  R=[0,1]×[0,2]

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Q: Find the product AB, where 1 a) A= 0 1 1 -1 1 1 -1 -1 %3D -1 1 [1 b) A = 1 -3 1 -1 2 3 2 B = -1 0 3…

A: (a) To find: The product AB Given information: The matrix is A=1010-1-1-110, B=01-1 1-10 -101…

Q: O d. Evaluate 3 dz (2+1)V교+2z -2 oa vSarsec (플) +c + C b. 3 arsec (1) + C C. 3 arsec (팔) +C V3 arsec…

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Q: 22 +3 z* – 22² + 1 8. Evaluate +el/dz, C: |z-i– 1|=2, CCW.

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Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

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Q: Find aw av aw - dv 2 y when u = 0, v = 0 if w = x² + x₁ x= u=0, v=0 +,x=6u-5v + 1, y = 6u +2v-6. X…

A: Given that w=x2+yx, x=6u-5v+1, y=6u+2v-6. We have to find the value of ∂w∂v when u=0, v=0.

Q: : Find w = a + bi = √z where a and b are real numbers. - -M 3 -8+6i ☐, w = ☐

A: Hence, The final answer is  w=2.99−i,w=−2.99+iExplanation:

Q: (8) To evaluate f √√x²-49 x -.dx we substitute x = A)7 sec8 B) 7sine C) 7tane D) 7cose

A: We need to fin the substitution for 'x' to evaluate the integral: ∫x2-49xdx

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Q: Given that D/d = √f + p/f – p, express p in terms of f, d and D

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Q: 2x + 1 3 – 4x Consider the function y = f(x) a) find Ax + h) simplify fully Ax + h) – Ax) h b) find

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Q: ASTR n = 2x+y 121 x,y € Prove that A is not open and not closed. Q

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Q: Let u= 31-2j + k and v= 2i – 2j + 2k. Find ux y.

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Q: а b ст Let A = d e fand B [d+2g e+2h f+2i] b |If det(A)=-1, then det(B)- а %3D g _h -3g -3h -3i

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Q: 3. Evaluate . - dx. 9x -16 A) 27 In|9x - 16| +C B) Inpx -16 +C C) 27In|9x° +16 +C D) 27 27

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Q: In OP, PE = PB, PE I DF and PB 1 CA. If DF = 3x + 16 and AB = 3 – x, find x and DE. F X= DE =

A: It is known that any perpendicular drawn from the center of a circle to the chord, bisects the…

Q: 26 + 4z4 – 2z2 +1 dz (z – 2i)6

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Q: Let a = 4i + 3j – k, b = 2i – j + xk and c = yi + zj – 2k. Find: %3D %3D a x such that a and b are…

A: Two vectors are said to be perpendicular to each other if their dot product is zero. We will use…

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A: