Find the ComPlex integral:- Since the integral C means we have C, Cz (21)(2-2) (2-1) (2-2) C2

Q: Solve using complex analysis: dx a) [= (x² + 4)² 2 -00

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Q: 16) Given the function f(x)=2x –1lx² +22x–15, find all the complex roots, given that 2-i is a root.…

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Q: 1.Simplify: -2xy[6x² + {-6x³y – 2x²y – 2[2xy – x(3x²y– 3x – 2y) - 3x²] + 2x(xy)}– 3x²] a.

A: Topic:- Algebra

Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

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Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

Q: Q4a. Evaluate the complex number e2+3i In(2+i) 3+4i

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Q: (4r2 – 6x + 3) + (2x² + x – 8)

A: Let us consider an expression, (ax²+bx+c)+(-dx²-ex+f) = (a-d)x²+(b-e)x+(c+f)  This is the required…

Q: Find all (real) values of b and e such that a³ + bx²y + cxy² + 4y³ +6x +3 с is harmonic on all of C.

A: The given function is .The aim is to find the value of  and  for which the function is harmonic for…

Q: (2 + j)?

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Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

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Q: 2j(5-j3) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

Q: 2. Simplifying complex rationals 1 1 2xy 3 a) 4 4 3 b) гу? T

A: The solution is :

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: Find the real values of x and y such that (x + iy)2 = -8 + 6i.

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Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

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Q: Find the distance d (in the complex plane) between z = 2 + 7i and w = 11 - 10 i. d = √ (1)² + (9)² X

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Q: Find the principal value of the complex expression (3-j4) raised to the power of (1-j2).

A: 3+4i1-2i   Let z=3+4i1-2i   ⇒ logz=1-2i log3+4i       log3+4i=log 3+4i+i arg 3+4i     =12log…

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

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Q: Find determinent [3a 3b 3c -d -e -f 4g 4h 4i]

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Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…

Q: Express −i+j in the form [a,b]

A: Simplification

Q: Find 2 2 [²³²³ (5x + 2y) dxdy

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Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: 1 da (2a + 1) +1) 1. 8.

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Q: B. If the complex function f(z) = u + iv, find u and v for the following complex %3D function: (2 -…

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Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

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Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

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