Write the complex number 3-√-25 in standard form.  Perform the operation and write the result in standard form. a. (7-2i)-(3-8i)      b. (4+i)(3-10i) c. 3-2i/4+i            d. (1/2+i)+(5/1+4i) Find the midpoint of the line segment joining the points 2-i and 1 + 4i corresponding to the complex numbers in the complex plane.

Q: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

Q: Find the real and imaginary parts of the complex number. -6 + 4i

A: we have to find the real and imaginary parts of the complex number. z=-6+4i

Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

A:

Q: Write each expression in the form a+bi, where a and b are real numbers. You may plot the numbers in…

A:

Q: Ship A is 4 miles east and 3 miles north of port. Ship B is 5 miles west and 2 miles north of port…

A:

Q: The conjugate of the complex number -4 – 3i is a) 3 – 4i b) 3 + 4i c) -4 – 3i Qd) -4+ 3i

A: A conjugate is where we change the sign in the middle.  i.e        Conjugate of a+ ib = a- ib

Q: Plot each number in the complex plane. A: 5i B: 2+4i C: -3 D; 1-3i E: -5-2i

A:

Q: 2+5i Divide the two complex numbers:- In other words, write it as a single complex number 3+i

A:

Q: a) z5 = -32 b) z² + (i – 2)z + (3 – i) = 0 %3D ||

A: We have to find roots of given equation by De Moivre's formula.

Q: Subtract the complex numbers. Express your answer in the form (a + bi). (3 + 4i) – (6 - 7i)

A: According to the question, we have to subtract the complex number 3+4i-6-7i and express the number…

Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Find the product (3 - 4i ) (5 + 6i ), and express the result in the standard form of a complex…

A: Consider the given expression as 3-4i5+6i

Q: I Evaluate the following complex numbers in rectangular form and show in the Angrand Diagram a) (3 +…

A:

Q: Evaluate  3−3i / 1-4i  and express as a simplified complex number.

A: Given,           3-3i1-4i

Q: (a) The complex conjugate of 2 + 3i is 2 + 31 = (2 + 3:)(2 + 31) = [ (ь)

A: To find the complex conjugate.

Q: Graph the complex numbers in the complex plane. a. 3 + 4i b. 4 – 2i c. -5 d. -2i

A: Given,

Q: (b) Given z is the conjugate of a complex number z such that z=6+8i Find the complex number z whose…

A:

Q: perform the indicated operation and express the result as a simplified complex number 1+9i/1-9i

A:

Q: Find the real and imaginary parts of the complex number.

A: Given: The expression 3+-4 . The given expression can be converted into the form a+ib as,…

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A:

Q: Multiply the two complex numbers: (3 + 4i)(3 – 4i)

A:

Q: What is the product of the complex numbers 3 4i and -6 + i, where i = v-1? %3D A -22 + 27i B. -18 -…

A: Solved below

Q: Find the cube roots of -64 over the set of complex numbers. Write the results in rectangular form a…

A: Given: a+ib=-6413 For finding cube root of -64, we cube given expression then simplify it

Q: Find the midpoint between the pair of complex numbers. (-5 - 8i) and (-3i) O 2.5 + 2. 5i O-2.5 5. 5i…

A:

Q: For the complex number 3  4i the real part is ,and the imaginary part is

A: Complex number: The complex number is 3+4i For any complex number a+ib the real part is a the…

Q: Multiply the complex numbers and write the result in standard form. * (4+3i)(2-5i) 23-14i 8-15i…

A:

Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: Write the complex number in standard form. 11m z = 9 cis 6. Z =

A: Topic - complex numbers Cis x = cos x+ i sinx

Q: (b) Give an example of a complex number z, other than ±1 or ±i, such that |2| = 1.

A:

Q: -1 +3i vhat is the real part of the complex number: 7 = 2 A) -1/2 B c) -1 D2V3 2.

A:

Q: Write the complex number in standard form. 1 − Square routs12   −12

A: Here we have to write the complex number in standard form ,        1 - √(-12)

Q: Find the quotient (2 - 3i)/(3 + 4i) , and express the result in the standard form of a complex…

A: We have given quotient 2-3i3+4i Then,…

Q: Given a complex number z = 4+ 5i, determine the real and imaginary part of z. %3D Real = Imaginary =

A: Solving the problem by finding the real and imaginary part.

Q: find the square of the complex number 2 -2i and write the answer in a form a + bi where as a and b…

A:

Q: Z = (1– j)!-2j

A: We have to find the real and imaginary part of the complex number Z=1-j1-2j. So we have to write Z…

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: Perform the indicated operations and express the answers in the standard form of a complex number.…

Q: An engineer wants to determine the distance d of the two complex number in the complex coordinate…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The complex number a is given by a =-2 + 5i. i) Write down the complex conjugate a*. a +a* ii) Find…

A: α =-2+5i complex conjugate =-2-5i

Q: Find the midpoint between the pair of complex numbers. (-8 - 7i) and (-10) O-4 8. 5i -9-3.5i 04+8.5i…

A:

Q: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

A:

Q: Consider the complex numbers 6v6 11 + V2 3 11 and + 5 W = - = 2 v2 Write in the form reto |wz|

A:

Q: Z = (1 - j)¹-2j

A:

Q: The real part of the complex number w = 1 (A) 10 O(B). O(C) O(E)- √2 2 110 14710 1+3i 4-21 equals

A: We need to find the real part of the given complex number w=1+3i4-2i

Q: Find tjhe distance between the pair of complex numbers. (-8 - 7i) and (-10) V73 O45 V53

A:

Q: Find the cube root of -8i lying in the fourth quadrant of complex plan. إختر أحد الخيارات: 1- V3i 1+…

A:

Q: 2. Write each complex number in polar form with an argument 0 between 0 and 2n. Do not multiply it…

A: Explained below...

Q: omplex number in a simplified form

A: Note: Here we are solving 1st 3 parts, For reaming question of the solution please submit it again.…