Q2) Verify v(x.y)-3x3y-y3+5x is harmonic in the entire complex plane then find the conjucte harmonic function of v.

Q: Plot the point corresponding to, z =2(cos30ο +isin30ο ) in the complex plane, and write an…

A: z = 2(cos 30° + i sin 30°)

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

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Q: (b) Let f be an entire function. Prove that f is constant if there is a disk D(a, ro) such that…

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Q: Determine the roots of y"" - 4y" + 3y = 0

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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: 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: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: For the following equation, find all values of z and also locate these values in the complex plane,…

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Q: put find all 44i ofthe equotic ナリ2971

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Q: Find the product in the complex plane 1/4(cos Pi/6 +i sin pi/6) + 8 (cos pi/6 + i sin pi/6)

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Q: (5- j6) - (2- j8) (-3 + j4)(5 – j) + (4 – j6) Given a complex number z = - Its magnitude is and its…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Express (-2/3+ j2) in rectangular form.

A: Rectangular form of the given complex number

Q: Find all the roots of f (2) = (-5+ j4) z² + (3 – j5) z + 4 + j3 For all computed DECIMAL values that…

A: Given: fz=-5+j4z2+3-j5z+4+j3 To find: Roots of fz.

Q: 88 11% COSX + dx cakulate using complex functions?

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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: Q5: Find the first six roots for the complex number (Z): z°-z'+4z* - 6z°+ 2z² – 8z + 8 =0 |

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x north. 0.01y,…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u^=ai^+bj^  where…

Q: Find the set of points satisfying the equation in the complex variable z: |z|^2 +ℝ(z^2) = 4 where…

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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: Determine all the fourth roots of z = -1+ 7j to 4 decimal places and plot them in the complex plane.

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Q: Let w=iz2-4z+3i (where z is a complex variable z=x+iy) find delta(w), dw, and delta(w)-dw at the…

A: To calculate the difference and differential of the given function,

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: HOW DO YOU SEE IT? Match each complexnumber with its corresponding point.

A: Given that, (i) 3cos0°+isin0°(ii) 3cos90°+isin90°(i) 32cos135°+isin135°(i) 32cos315°+isin315°

Q: as: w = f(z) = 6z² + 8z + 20-j22 a. Determine u and v b. Calculate f(1 - j5). Express your answer in…

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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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