1) Write the following complex numbers in the standard form, then find their imaginary part, modulus, argument and complex conjugate. 2 1 Z1 = (3 – i)(1+ 2i) Z2 = (1 – 3i)(2 + i)’ 1 3 23 = 2+i 2 i 2i -

Q: 4) Add or subtract the following complex numbers. (4+51)-(2-3i)= Multiply the complex numbers and…

A: we need to subtract the complex numbers and also need to find out the product.

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: 4) Add or subtract the following complex numbers. (2+31)-(5-61)= Multiply the complex numbers and…

A: Given query is to perform indicated operation.

Q: 3 – 5i - Write as a complex number. In other 2+ 3i words, find real numbers a and b such that 3 – 5i…

A:

Q: Find the square root of the following complex number z = 1 + 7i

A: To find  the square root of z=1+7i i.e. 1+7i

Q: 1) Write the conjugate of each complex number a. 7 (3+6i) b. (5-7i) (10+ 5i) c. (4.5+3i)/ (3-10i)

A:

Q: Rewrite the complex numbers shown below in the form of: y = Mejo a. y = 4+1j b. y = -4+-1j c. y =…

A:

Q: For the complex numbers w = 7 + -6 i • z = 4 - 5 i Enter the absolute value of 2w 3z in the space…

A:

Q: Write the product of complex numbers in the form a + bi. (3 + 3i)(2 + 3i) i (6 — 2/)² = 8 i(1.4 +…

A:

Q: of the complex number: (27V3 27 3

A:

Q: Consider the two complex numbers 21 = -8-6i and z2 = -6 - 2i. Find 21-22 = (give you answer in the…

A:

Q: Express the following complex numbers in the form re : i. 3 + Ti ii. 25 - 1/Tti iii. (i+ 1)T

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: Calculate the following complex numbers (i) (1 + 3i)(2 − 4i) (ii) 1 + 3i 2 - 4i 1+ 3i 2 - 4i 10

A:

Q: Find the principal value of the complex power: zº where z=1+i, a=1+i and B=1+i.

A:

Q: Express the following complex number in the form x + iy (1 - i)(2 i) (3 - i)

A:

Q: 2:+32=4-61

A: we need to find out the complex number (z)"Note in the case of multiple questions posted, we can…

Q: The complex number Z1and Zzare given by, Z1 = 3 – 5i and Z, = -1+4i Determine: 221 + 5Z2 O1+ 10i 01-…

A: Given: Z1=3-5i & Z2=-1+4i We know that; a+bi±c+di=a±c+b±di And ca+bi=ca+cbi, where c is scalar.

Q: Write the following complex numbers in exponential form: z = r exp (10) z = 9+8i, w=-4-10 i, u=4-5i

A:

Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Find the difference between the complex numbers. (4 – 7 i)- (5+ 6 i )-(-1-13 i) (4 – 7 i)- (5+…

A:

Q: the complex number z =(2)sqrt2.(e3pi/4) is in eulers form. writing z in the form a+ib. what are the…

A: Given : z = 2√2 ei3π/4

Q: Multiply: a. (x – 5)? b. (2х — бу)*. а.

A: (a) Consider the binomial expression, x-52 to solve it, multiply and simplify using FOIL as shown…

Q: Find a complex number for which Arg(z bar) does not equal -Arg(z).

A: For all non zero complex number we have Arg(z bar) = - Arg (z)  as if z = x+iy  which imples z¯ = x…

Q: Write the complex number in standard form. (2-J-15)* O -11+ /15i O 4- 15/5i O-11-4/15i O -11+4/15i…

A:

Q: Reduce the quantity below to a complex number a + ib where a, b ER: 1 + 2i 3 - 4i + 1- i 1 + 2i +(3…

A:

Q: Find the complex number (4+2i)/(1-3i)

A:

Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized

Q: Express the following complex number in exponential form: (-1 – 5) 3.1 e2.5i 5.1 e4.5i -5.1 e4.5i…

A: