find the real and imaginary part u and v of the given complex function f(z). * f(2) = e²²

Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

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Q: Find the Principal Value of (-2)i/π.

A: We find the Principal Value of (-2)i/π.

Q: Evaluate the given complex function f at the indicated point: *-2i f(z)=r+icos2(θ

A: Given complex number is -2i comparing with a+bi  we get  a=0, b=-2 find the modulus r given by…

Q: Draw f (E) in complex numbers system if f (z) = z +Z + izz and E = {z e C:1 < |z| < 3}. %3D

A: Given is a function f(z) and set E. First we let z = x+iy where x and y are real numbers. Then…

Q: Let f (z) = z² + 3+11i be a complex function. What is the image of the line x = 10 A straight line A…

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Q: Z2

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Q: Find the branching points of the complex functions given below. a)?(?) = √? + √? − 1 b) ?(?) = √? 2…

A: Definition : A branch point of an analytic function is a point in the complex plane whose complex…

Q: 34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if…

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Q: Let z1 = 4 + 4i and z2 = 4 – 5i. Find (in the form x + iy): (5z1 + 4z2)? +i i i

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Q: Find the general solution of the given ODE x+1 v +1

A: dydx=x+1y4+1 (y4+1)dy=(x+1)dx Integrate both sides ∫(y4+1)dy=∫(x+1)dx∫y4 dy + ∫dy  = ∫x dx + ∫dxy55…

Q: Z is a complex variable, z=x+iy

A: The z is complex variable with z = x + i y , and the given vertices are (0,0),(1,0),(1,1) and (0,1).

Q: What is the image of the line x = c; c > 0 in the function f(z) = ? ("z" complex number) Z

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Q: Ex : find the real part of analytic complex variable if imaginary part of it is v = (xy) V%3D

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Q: Find the derivatives of the following 1. [sin-(2z – 1)]² 2. cos-1(sin z – cos z)

A: Differentiating complex functions is similar to differentiating the functions with respect to x, but…

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: f(x,y)=21 (x+y) x=1,2,3, ; y=1,2 other situations

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Q: x · y = = Find the dot product of 4 -4 x = and y = [1]

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Q: What is the image of the circumference x² + y² = ax; in the function ƒ(z) = ? Z ("z" complex number)

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Q: +2 = (2)f 4. %3D 2 = (2)f

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Q: * ?Find the cross product A XB when A = 2i + 3j and B = -3i + 2j

A: The cross product of two vectors A→ and B→ in 2 coordinates is given by A→×B→=AxAyBxBy k^Where…

Q: Evaluate the following: (Complex Numbers & Variables) 1.) √j√j

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Q: Let f (z) = z² + 9+ 10i be a complex function. What is the image of the line x = ? A straight line A…

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