What is (−2√3−2i)^4 equivalent to?
What is (−2√3−2i)^4 equivalent to? What is (-2/3 – 2i)* equivalent to? Drag a value to each...
[8] Plot the following complex number in the complex plane, write it in "long-hand" polar form with the argument in degrees, and write it in rectangular form. 137 5 cis 18 long-hand: rectangular: 19] Simplify (2)3 + 2i)". Write and circle your answer in both r cis 0 and x + yi form. [10] Solve for the variable over C. Circle answers in r cis form. x = 641 [11] Solve for the variable over C. Circle answers in rcise...
n1 Which of the following is the polar form of -2? mg: 3 out of Select one: o 2cisa 2cis 22 o 4cis o 2cis Check Let z = -1 -i. In the polar form of z", which of the following is the value for the argument? Select one: a. O O c. O d. ? o e. S Check un 3 Let z = 1-i and w = 1 - 2i. What is the real part of z/w? (Express...
Thevenin equivalent of a-b 2-triplet given in Figure 4 What value should ik take to be v = 3/2i+3? (n = 3, R1 = 11, R2 = , i5 = {i2) R2 iz w iz id i a + 1:n + V3 V ik R is b Şekil 4
[4] Convert z = -10 and w = -13 + i tor cis O form and then find zw. 2, and w*. Leave answers in r cis form. Sketches have been provided on the scratchwork page. W ZW= z W W [5] Find zw, 2, and wgiven w = - 12 - i 2 and 2 = - 8i . Leave answers in r cis @ form. Sketches have been provided on the scratchwork page. W ZW= Z II w...
#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...
4. Given a point (-3,-) in polar representation, answer each question. a) Plot the point b) Find two additional polar representations, using -2n< < 26 c) Convert to rectangular coordinates. 5. Convert the rectangular point (V3.1) to polar coordinates where 0 <<2 6. Given a polar equation r = 4sin e a) Sketch the graph of the polar equation by completing the table. r 0 FT/6 1/2 5/6 b) Convert the polar equation into a rectangular equation,
Question 3.1 (10 marks) Consider the two complex numbers-V3+i and 2 3 cis(-/3) a) Write 1V3+i in polar form, in terms of its principal argument. b) Use your answer in a) to evaluate z1/21 in polar form, and then convert that into cartesian form. c) Using their polar forms, determine z122 and z2/句in terms of their principal argument. d) Determine (22)2 in polar form, in terms of its principal argument. e) Determine all distinct values of (22)1/3 in polar form,...
Question 12 (2 marks) Attempt 1 A space curve is defined by C:u)2i+u+3u2k, for u20 Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point where u 1 Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax. For example: 3*x-2y+5'z-2, or, 2 (x-1)+4 (y-2)+z-1-0, or 3'x+ 6'z-12-y, or y-x+35 (2-256)-20 Do not use decimal approximations all numbers...
Let Z! = 3H4, Z2-5-2, Z,--3-12, Z4--10-j6, and Z5--6-3. 1. Calculate Z1 + Z2 in rectangular form. 2. Calculate Z1 - Z2 in rectangular form. 3. Calculate Z3 + Z4 in polar form. 4. Calculate Za - Z5 in polar form. 5. Calculate Z1Z2-Z3 in rectangular form. 6. Find ZsZ7 in polar form. 7. Find Z7Zs in rectangular form. 8. Find ZsZs+Z7 in rectangular form Reduce the following to rectangular form. 10. Z1/Z2
Write the given number in the form a + ib. 2i^5 − i^4 + 5i^3 − 15i^2 − 14