Given two complex numbers z = 3 – 3j and w = 1 + 7j which of the following options equals

Q: (a) 2122 + 22Z3 + 2321 (b) (c) Re(z) +Im(2?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: z1 = 2 + 4i Z2 = 5e2i Z3 = 4 cis 40°

A: The polar form of a complex number is z=rcosθ+isinθ and the rectangular form of the complex number…

Q: Find the magnitude of the resulting complex number, 6 (cos 120°+i sin 120°) x 4(cos 30° +i sin 30°)

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Q: 12 TT CoS + i sin + i sin 6.

A: I am attaching image so that you understand each and every step.

Q: Find all the complex numbers z that are solutions of the following equations: (A) e² = 2+2i;

A: We know that logZ=ln|Z|+iargZ.

Q: Write each complex number in rectangular form. (a) 31cos 30° + i sin 30°2 (b) 4 cis 40° (c) 31cos…

A: a) 31 cos 30°+ i sin 30° 2=31·32+2i·12=3132+i

Q: In the complex number 3 + 4i, the absolute value is: А. 3 В. 4 С.5 D. 6

A: Solution

Q: Add the following two complex numbers: (3 + 2i) + (5 – 31). What do you notice?

A: Given that (3+2i)+(5-3i)

Q: We have two complex numbers (C1 = 1+ j2) and (C2 = 4/-2.2°). Find %3D 1. Ст * С2 2. Ст — С2

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Q: In an Argand diagram, O is the origin and the points P and Q represent the complex numbers z1 and z2…

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Q: Given the complex number z1 12( cos +i sin ) and 13 %3D 8 8. z2 = 2( cos +i sin ), express the…

A: Given two complex numbers, z1=12cos13π8+ι sin13π8 and z2=2cos11π8+ι sin11π8 We have to express  z1z2…

Q: Given two complex numbers z = 1+j, and w = 2 – 4j, which of the following options equals 2? w

A: We know that

Q: Given the complex numbers z1 = 5 (cos(92°) + i sin(92°)) and z2 = 2 (cos(-92°)+i sin(-92°)), find…

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Q: In the complex number system, which of the following is equivalent to (3 – 4i) + (-2+ 5i) O 1+ 9i O…

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Q: Find the value of the following complex numbers using Euler formula? 1) [5 +i (5)0) 0.5 2) 2(-i)2…

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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: Given the complex numbers Z1 12 cis 203° ar 4 cis 53°, find the quotient . Z1 z2 = Z2 Select the…

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Q: Given the complex numbers z = 24( cos +i sin and w = 4( cos +i sin 3 3 find giving your answer in…

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Q: Express the given complex number in polar and rectangular forms. 10.0 e 1.20j

A: We have to write polar and rectangular form of given complex number:

Q: Find all solutions w to the equation w = 4b2.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: 13. The complex number c + di is equal to (2 – 3i)². What is the value of c?

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Q: If 5 and 2 are complex numbers, then prove: (a) l-k|| (b) (c) +s|s|+|=|

A: I have solution for (a), and (b) a ..

Q: Given the complex numbers, find the roots of the ff: 1) ( -1 )^1/4 2) ( -1-i )^1/3 3) ( -i )^1/3

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Q: Given a complex number a + bi, the value of a is called the _____ part and the value of b is called…

A: The given number is a+bi To identify a and b

Q: The complex number (−9+7i)/(9+5i) rewritten in Cartesian form is?

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Q: Precalculus hw help. 21 and 22. A, b and c. Thank you.

A: Hi there, at a time we can answer only one question. So I have answered first question.

Q: Given the complex numbers z, =-3+ j4 and 2 12+ j5, find: (a) Z122 (b) (c) Z1-22

A: By using algebraic rules of complex numbers we solve this question

Q: For the given complex numbers: Z1 = 3- 2i and Za = -1 +3i, find: 2"21 - 22 Select one: O a.7-6i O…

A: To find The value of 2z1-z2

Q: For the complex number 3 + 4i, give (a) the absolute value; (b) the opposite; and(c) the conjugate.

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Q: Which of the following complex numbers is equivalent to 3 - 5i ? (Note: i = -1) 8 + 2i 5i 3 A) 8 2…

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Q: Express the given complex number in rectangular form (a + ib). 1. cos + i sin cOs + i sin

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: Given the following complex numbers, find: x = 4 + 5i y = 6 - 3i z = 4 + 4i a. the product of x*…

A: Let's find.

Q: Given the complex numbers (1 +10i) and (a + 4i). Determine the value of a if the midpoint between…

A: NOTE: Refresh your page if you can't see any equations. . two points are the midpoint is given by

Q: If =1-i and =5-21 then draw the following complex numbers on the Argand Diagram: (a) 2, + (b) 4-4…

A: The objective of the question is drawing the given complex numbers on the Argand plane (diagram).

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?;…

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Q: Solve the following complex numbers: Z1 = 5+3i; Z2 = 4+5i ; Z3 = 3-i 1. The product of Z1*Z2 2. The…

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Q: Given the complex numbers zi = 20 cis 226° and 72 = 5 cis 76°, find the quotient . Z1 Z2

A: z1=20cis2260=20cos2260+isin226°=20ei226°z2=4cis76°=4(cos76°+isin76°)=4ei76°

Q: 3. Given a complex number a + bi, the value of a is called the part. part and the value of b is…

A: Give query is to give the names of 'a' and 'b'.

Q: Find the magnitude of the resulting complex number, 6 (cos 120° +i sin 120°) x 4 (cos 30° + i sin…

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Q: Z, = 2 cis 30° Z2 = 3elli %3D Zz = In (1 + i)

A: Given: Z1=2cis30° Z2=3eπi Z3=ln1+i Z=Z1Z2+Z3 Z1=2cis30°     =2cos30°+isin30°      =232+i2…

Q: Simply the each of the following complex numbers (4i – 3)(3 + 4i) a. -

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Q: Given the complex numbers z1 = -3+i and z2 = 1+ 4i. Show that |z1 z2 = |z1||22| and org (z1 2) = arg…

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Q: Z1 = 2 + 4i Z2 = 5e2i %3D Z3 = 4 cis 40°

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Q: Find the value of the following complex numbers using Euler formula? 1) [5 +i (5)0.51 0.5 2) 2(-i)2…

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Q: Q4\ If z and z are conjugate complex numbers, find two complex numbers, z = z, and z = z,, that…

A: The given equation is: 3zz¯+2z-z¯=39+i12 Let z=a+ib be a complex number satisfying the equation,…

Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2*Z2 Select one: O a. 5- 5i…

A: Given complex numbers are Z1=4-2ι and Z2=-1+3ι. We have  to calculate Z1-2Z2. We know that a complex…

Q: 2. Write the given complex numbers in the form a + bi. 3 (a) 를 + 을-2유 (b) 2,0 + + 5i 5- 12i (c) 2-4i…

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Q: Given 23TO630" and H4151 What is the resultant of the given complex numbers? In rectangular form…

A: 6) Given: z1=6∠30° and z2=4+5i First express z1 in rectangular form. z1=6∠30° implies magnitude of…

Q: The argument of the complex * number (1+i)^4 is

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Q: 5) The complex number c+ di is equal to (2+i). What is the value of c?

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