1. Find the magnitude and phase of the following complex numbers: (a) 5+8i 2+31 (b)-5-8i (c)...
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Find the result of the following complex expression as magnitude and phase(degrees) as well as real and imaginary components (5 - 5;)(-7-73) (2 - 2;) Magnitude = 24.7 Phase(in radians) = 517 Real Comp - -17.5 Imag, Comp = -17.5
find the following quotient. write your answer in standard form for complex numbers. 5+2i/3+7i
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
Problem 2. (5 points each question). Convert the rectangular form of complex numbers to the polar form 1. Z_rect = -5 - 8i Z_pol = 2. Z_rect = 2 - 71 Z_pol = 3. Z_rect = -8 + 4i Z pol- 4. Z_rect = -13.22 + 7.65i Z_pol =
Problem IV: Find absolute value(modulus) and phase(argument) of the following complex numbers: I. z=2.
2.* Let x -5- 8i and y 10-5i. Use MATLAB to compute the following expressions. Hand-check the answers. a. The magnitude and angle of y. b. The magnitude and angle of 3.* Use MATLAB to find the angles corresponding to the following coordinates. Hand-check the answers. a. (x, y) (5, 8) b. (x,y)(-5, 8) c. (x) (5,-8) d. (x,y)=(-5,-8) 4. For several values of x, use MATLAB to confirm that sinh x (e-e )/2
8. If ü= 8i - 15j and = -31 - 4; and w = 121 + 6j, then find the following: A. 2w - 3ü B. ||2u - 501 C. J. D. the angle between ü and v E. the direction angle of vector w F. (3x + 70). a vector in the same direction as u with magnitude of 12 a vector orthogonal to vector V with magnitude of 7 any vector that is orthogonal to the vector w...
MATHEMATICS AND STATICS Name Student# Class Exercise 1 Complex Numbers Week 2 1. Without using a calculator, determine all of the solutions of the following equations: (a) 2.2 +2:+5 = 0; (b) 2? + daz +52 =0, where a R. 2. Let - 1 - di and 3-11. Without using a calculator, determine (a) w, and hence, Rezw); Wee Class Exercise 1 Complex Numbers (b) 3m 3. Without using a calculator (or Wolfram Alpha), determine all solutions of 22 -...
6 -1 1 and 5 2i 1 (j) A 5 has complex eigenvalue, eigenvector pairs (5 + 2i 4 - 1 - 2i 1+2i Draw the phase portrait of the linear system X' = AX. Make sure to label relevant features and to include arrows to indicate directions of trajectories
6 -1 1 and 5 2i 1 (j) A 5 has complex eigenvalue, eigenvector pairs (5 + 2i 4 - 1 - 2i 1+2i Draw the phase portrait of the...
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