3. Find the real part Re(z) and the imaginary part Im(2).- (+) ()(a) z =(b) z213i(1+1)(1-2i)(1+32)

To find The real part of z and the imaginary part of z.

Answered: 3. Find the real part Re(z) and the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a. polar form b. rectangular form c. exponential form
Given that z, -[3,0.7], 2₁ = [2,1.2] and 2, = [4,-0.5], (c) (i) find a complex number z = [r,0] such that zxz,-[1,0]. (ii) find a complex number z = [r, 0] such that zxz,- [1,0]. = (d) for any complex number [r, e] show that |-|-|(20)+(20) x[r, 0]= [1,0] (r> 0). r
3. Complex Variables as: Given the following complex function expressed w = f(z) = 6z² + 8z + 20-j22 a. Determine u and v b. Calculate f(1 - j5). Express your answer in rectangular form.
Third time to ask, all answers are wrong
solve every problems given and provide the corresponding answer/s needed.
3. (Complex Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 + (6 – 31)z + 15 – 23i = 0 by performing the following steps: (i) find the discriminant A of the equation; (ii) use a scientific calculator to find the roots A1,2 of degree two of the discriminant; please include the listing/text of the program for a calculator in your solution, and provide a decimal approximation of the polar form of A to five decimal places; (iii) use (ii) to find the solutions 21, 22 of the equation. Please give a complete solution to the problem.
F{e bir-lir -6|} = -5ix- %3D a) 2e6i(A+5) 1+(A+5)² b) 2e-bi(A+5) 1+(A+5)? c) 2e6i(A-5) 1+(A-5)2 d) 2e-6i(A-5) 1+(A-5)2 e) None of these
Solve (x-3y + 3) dx + (3x+y+9) dy=0 A B C D cx²e cy²e cy²e cy²e 3 tan 3 tan 3 tan 3 tan x + y 3 = (x+y) √√√(x+3)² + y² x+y 3 = (x−y) √√√(x + 3)² + y² x + y 3 = (x+y) √√(x+3) ²+x² x+y 3 = (x+y) √√√(x+3) ² + y²
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3. Find the real part Re(z) and the imaginary part Im(2). (a) z = 2+37 (b) z (1+i)(1–2i)(1+32)