1&2 for each part Part 2 For the following complex numbers, find 3. --3-3i Part 3...
Graph and determine the magnitudes of the following complex numbers. 1. 3+5i 2. -1 + 3i 3. 2-4 Write each of the following complex numbers in trigonometric form. 17.-3-i 23. 2-2i Write each of the complex numbers in standard form. 570 COS 6 29. 51 +isin 6 30. cos - +isin 3 costising
Find the complex numbers w and z which solve the system of equations (-1+i)w + (-2-3i)z = -12 - 3i (-2+3i)w +(-1+i)z = 0 +10i (Hint: Check your solution by substituting back in)
2. (a) Express each of the following complex numbers in polar form (i) i ( ii) /3 - 3i (iii) -3-V3i 42 b) For each of the complex numbers in part (a), id and
14 For the complex number z=-3+3i do the following a) Convert to polar form, Polar 2- b) Still in polar form, find z? Polar c) Finally convert z' back to standard form Standard 2' =
use 5 digits pls thx 2. (Complez Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 -(1-3i): -22 +3i- and verify your answer with Wa by using the command solve z"2-(1-31) -22+31 #0 z 3. (Complez Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find approximations of all seven roots of degree seven of the complex number and show them on the complex plane (approximations of the real and imaginary parts of all the roots must...
3. Simplify the complex number 2+54 + vZe(7) into Cartesian form. 1+3i
Consider a complex number: 2=1+iV3 What is the inverse, 1/2? 1.2 2.1-iv3 3. (1 - i/3)/4 4.1 -3i 5.1+3i 6.1+i73 7. 83ti 8.3-i
#1,5,9 and #13,17,21,25 please. In Exercises 1-12, graph each complex number in the complex plane 3. -2 4i 2 2. 3 5i 7.-3i 8.-5i 6. 7 47 19 7 15 2 11 2 12. 10 10 each complex number in polar form 15. 1 V3i 14. 2 + 2i 16. -3- V3i 3. 1-i 20. -V3+i 18. V5_V5İ 19. V3-3i 17-44i 24. -8-8V3i 22. 2 + Oi 2 23, 2v3-2i 21. 3 +0i V3 1 1 V3 28·16+161 26, 1...
Questions. (20 pts.) a) Find the real part and imaginary part of the following complex numbers 1. jel- 2. (1 - 0260 3. b) Find polar form of the following numbers 31-3 9 Question 2. (20 pts.) a) Simplify (2< (5/7) (2<(")) 2 < (-1/6) b) Solve z+ + Z2 + 1 = 0
The complex conjugate of (1+i) is (1−i). In general to obtain the complex conjugate reverse the sign of the imaginary part. (Geometrically this corresponds to finding the "mirror image" point in the complex plane by reflecting through the x-axis. The complex conjugate of a complex number z is written with a bar over it: z⎯⎯ and read as "z bar". Notice that if z=a+ib, then (z)(z⎯⎯)=|z|2=a2+b2 which is also the square of the distance of the point z from the...