I need the answer as soon as possible 21. The complex numbers z1, Z2 satisfy the systen of equations(1-i)zı + 322 = 2- 3i.izı + (1 + 2i)z2 = 1.%3DFind 21, 22:Find all solutions to the equation z- 16 = 0.3. Let z be a complex number such that Re z > 0. Prove that Re(1/t) > 0.24. Let z be a complex number such that Im z> 0. Prove that Im(1/2) < 0.25. Let z1, z2 be two complex pumbers such that z1+ 22 and zj22 are each negative realnumbers. Prove that z, and z2 nust be real nunbers.26. Verify thatPlease prove the number 25.Re((E2) = Re z)juland thatIm( z) = Im zj.%3D(imaginary) parts.}

Complex numbers: The sum of a real and an imaginary number is a complex number. A complex number is…

Answered: Let z1, z2 be two complex nu numbers.…

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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You go to the doctor and he gives you 16 milligrams of radioactive dye. After 16 minutes, 7.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend ????? minutes at the doctor's office.
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Let z1, z2 be two complex nu numbers. Prove that z, and z