What is the relation between the set of complex numbers, the imaginary numbers, and the real numbers?

What is the relation between the set of complex numbers, the imaginary numbers, and the real numbers?

Why does the absolute value of every real positive number raised to i equal 1?

complex numbers are particulary important in engineering especially during stability analysis. They often arise as a result of solving a system which include a quadratic function and the following...

Rewrite the complex number in rectangular form, a + bi. z=(sqrt 2)cis(105 deg)=?

At a carnival, A new attraction allows contestants to jump off a springboard onto a platform to be launched vertically into the air. The object is to ring a bell located 20 feet overhead. The...

It is a troubling question which has proved a real bulwark to attempt or even solve correctly.

Rewrite the complex number in polar form, z=r(cos(theta)+isin(theta)). z = 2 = ? A. 2(cos(0)+isin(0)) B. 2(cos(pi/4)+isin(pi/4)) C. (sqrt 2)(cos(0)+isin(0)) D...

rewrite the complex number in polar form, z=r(cos(theta )+isin(theta )) z= (1/2)+(sqrt 3/2)i=? A. cos(pi/2)+isin(pi/2) B. cos(pi/3)+isin(pi/3) C...

Find the quotient of the complex numbers: 2*(sqrt 3)(cos(116 deg)+isin(116 deg))/2(cos(82 deg)+isin(82 deg))

Rewrite the complex number in rectangular form, a + bi. z=7cis(pi/6)=? A. 7+7i B. ((7(sqrt 3))/2)+(7/2)i c. (sqrt 3/2)+(1/2)i D. (7/2)...

x and y are the real and imaginary parts, respectively, of a complex number ,find the value of x and y : (y/1+i) = (x 2+2)/(x+√-2)

the function is ax^5-bx^2+cx-d what got me confused is that there are letters not numbers.

Write in polar coordinates all 8-th roots of unity. Find all pairs of roots r1 and r2 such that r1 = r2

Find each expression for u=2i-5j and v=-3-2j, find (a) 2u-3v (b) ll2u-3vll the two "ll" on both sides of the formula for "b"...

Find the quotient of the complex numbers: 2 * (sqrt 3) (cos (116 deg) + i sin (116 deg)) / 2(cos (82 deg) + isin (82 deg ))

If 1,w and w2 are the three cube roots of unity and a,b and c are the cube roots of p,q (<0),then for any x,y and z,the expression {(xa + yb + zc)÷(xb + yc + za)} is equal to ?...

(Find the value of X and Y that make each equation true) 1. 2x-20i=8-(4y)i 2. 5i-6x=(10y)i+2 (Find each Complex Conjugate) 3. i-3 4. 3i-4 5...

(x+yi)4=-7-24I Find x and y In complex numbers

if Z1 , Z2 , Z3, Z4 are roots of equation z4 + z3 + z2 + z + 1 = 0 then what is the sum of all the fourth and fifth power of roots ?

find e^θ for, θ=(kπ)/4 ,θ=(kπ)/2 , θ=2kπ k is any integer how can I find that when it has k?

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