Questions on Algebra: Complex Numbers answered by real tutors!

Tutors Answer Your Questions about Complex Numbers (FREE)

Question 1208263: In how many ways can 3 female teachers, 2 female students, and 2 male students be arranged around a round table such that there is a female student between each pair of female teachers?"
Click here to see answer by ikleyn(52787)

Question 1208271: If z1 and z2 are complex numbers and |z2| = 4 , |z1|+ i×|z2|= 3 + 4i , then value of |z2 + i × z1|=...
[ 9, 16, 5 , 25 ]
Click here to see answer by ikleyn(52787)

Question 1208272: What is the number of different five-digit numbers that can be formed from the set S={2,3,4,5,6} such that one digit is repeated twice and another digit is repeated twice
Click here to see answer by ikleyn(52787)

Question 1208298: if (x/y) + (y/x) = 1 , then y'' = (y/x) (True or False)
Click here to see answer by ikleyn(52787)

Question 1208298: if (x/y) + (y/x) = 1 , then y'' = (y/x) (True or False)
Click here to see answer by math_tutor2020(3817)

Question 1208302: z = [1, theta ] , find (z + z ^(10))/(z - z ^(10)) by Polar form [ r , theta ],
Click here to see answer by ikleyn(52787)

Question 1208303: let z = x + iy , | z^2 + 4| = |4 - 2 iz | , z ≠ 0 and Arg (- 3 z) = - 45 , then z = ....,
(2 - 2 i , 3 i - 3 , - 2 + 2 i ,3 - 3 i)
Click here to see answer by math_tutor2020(3817)

Question 1208303: let z = x + iy , | z^2 + 4| = |4 - 2 iz | , z ≠ 0 and Arg (- 3 z) = - 45 , then z = ....,
(2 - 2 i , 3 i - 3 , - 2 + 2 i ,3 - 3 i)
Click here to see answer by ikleyn(52787)

Question 1208305: ((sin (x) + i cos (x)))^9 = sin (9 x) + i cos (9 x) , (true or false
Click here to see answer by math_tutor2020(3817)

Question 1208305: ((sin (x) + i cos (x)))^9 = sin (9 x) + i cos (9 x) , (true or false
Click here to see answer by ikleyn(52787)

Question 1208305: ((sin (x) + i cos (x)))^9 = sin (9 x) + i cos (9 x) , (true or false
Click here to see answer by Edwin McCravy(20056)

Question 1208324: if y ^(y) = e ^(x - y) find (dy)/(dx) at x = 1
Click here to see answer by math_tutor2020(3817)

Question 1208325: True or False: If S, P, and A are the cube roots of a complex number, then Arg(S)+Arg(P)=2×Arg(A).
Click here to see answer by ikleyn(52787)

Question 1208325: True or False: If S, P, and A are the cube roots of a complex number, then Arg(S)+Arg(P)=2×Arg(A).
Click here to see answer by math_tutor2020(3817)

Question 1208326: if z = [ r , theta ] , (z ^2 + (| z |)^2)/(z + | z |) = cos (theta)(1 + i tan (2/(theta))) , prove that r = 1
Click here to see answer by ikleyn(52787)

Question 1208345: "In how many ways can the digits of the number 30348877 be arranged such that no two even digits are adjacent?"
Click here to see answer by ikleyn(52787)

Question 1208345: "In how many ways can the digits of the number 30348877 be arranged such that no two even digits are adjacent?"
Click here to see answer by greenestamps(13200)

Question 1208342: In how many ways can 3 male students and 2 female students be arranged in 6 chairs around a round table in the following cases:
1) The female students are conversing.
2) The female students are adjacent and the male studentsare adjacent.
3) No two female students are adjacent."
Click here to see answer by ikleyn(52787)

Question 1208353: how many ways can 3 male students and 2 female students be arranged in 6 chairs around a round table in the following cases:
1) The female students are adjacent.
2) The female students are adjacent and the male students are adjacent.
3) No two female students are adjacent.
Click here to see answer by ikleyn(52787)

Question 1208380: find : 1/(2!) + 1/(3!) + 1/(4!) + ... + 1/(100!)
Click here to see answer by ikleyn(52787)

Question 1208378: How many 7-digit numbers can be formed using the digits 1, 2, 3, 4, and 5, provided that any two distinct digits in this number are consecutive?
Click here to see answer by Edwin McCravy(20056)

Question 1208394: 1) In how many ways can 4 cars be parked consecutively in 5 distinct places arranged in a circle?
Click here to see answer by ikleyn(52787)

Question 1208395: In how many ways can 4 cars be parked in 5 distinct places arranged in a circle?
Click here to see answer by ikleyn(52787)

Question 1208430: In how many ways can 5 students be seated around a circular table if two specific students must sit directly opposite each other?
Click here to see answer by ikleyn(52787)

Question 1208430: In how many ways can 5 students be seated around a circular table if two specific students must sit directly opposite each other?
Click here to see answer by Edwin McCravy(20056)

Question 1208475: if g '(x) = sec (t), then (d (g (x)))/(dt) = ....., [ g (x) , g ^2(x) sin (t) , g (x) sec (t), g (x) (sec (t))^2]
Click here to see answer by ikleyn(52787)

Question 1208498: if z=x+iy , z* conj(z)^3+conj(z)*z^3=350, then (x,y)=..[(2,1) ,(3,4) ,(4,3) ,(5,4)]
Click here to see answer by ikleyn(52787)

Question 1113877: Given x≡19(mod5)
Identify which one of the following options gives integers that are valid solutions for x ?

-19 and 7

-11 and 54

7 and 26

11 and 26

Click here to see answer by math_tutor2020(3817)

Question 1208656: if y = t ^2 + x ^2 - 2 xt ^3 , then (d ^2 y)/(dx . dt) = .....
Click here to see answer by Shin123(626)

Question 1208759: Find the smallest integer which will divide over 45, 72, and 999 leaving remainder as 5, 2, and 9.
Click here to see answer by math_tutor2020(3817)

Question 1208759: Find the smallest integer which will divide over 45, 72, and 999 leaving remainder as 5, 2, and 9.
Click here to see answer by ikleyn(52787)

Question 1208825: Write each expression in the standard form a + bi.

1. i^(-23)

2. (1 + i^3

Click here to see answer by math_tutor2020(3817)

Question 1208825: Write each expression in the standard form a + bi.

1. i^(-23)

2. (1 + i^3

Click here to see answer by ikleyn(52787)

Question 1208827: Solve the equation in the complex number system.

x^4 + 3x^2 - 4 = 0

Click here to see answer by josgarithmetic(39617)

Question 1208827: Solve the equation in the complex number system.

x^4 + 3x^2 - 4 = 0

Click here to see answer by timofer(104)

Question 1208829: Note:

When I use the word "bar" after the complex number expressions, I simply mean there is a bar over each expression.

Given z = 3 - 4i and w = 8 + 3i, write each expression in the standard form
a + bi.

1. z • z bar

2. (z - w) bar

Click here to see answer by ikleyn(52787)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380