4. What is the rectangular form of the complex number 7.2e(7a/13)i? c. 7.15 – 0.87i a. -0.87 + 7.15i b. 7.15 + 0.87i d.-0.87 – 7.15i

Q: 1. Having the following complex numbers A= 5 – 21 and B= 3 + 8i a) A + B b) В — А c) A*B d) What is…

A: a) Given complex numbers A=5-2iB=3+8i In addition of complex numbers real terms are added and…

Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6e find z. w. Give…

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Q: Find the imaginary component if the complex number a + bi is raised to m if a = 9, b = 6, and m = 5.…

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Q: Using the given complex numbers on the Argand diagram find: Z4 -2 2. 3. Z5 21

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Q: As in the previous question, suppose z is a complex number (a point in the plane) with angle 30…

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Q: 7) Convert the complex number, 3-5i, nto polar form, Show your work.

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Q: 10 Express the given complex number in rectangular form 1+/3 Answer: a. b. --V d.

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Q: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

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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: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. а. 2 b.…

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Q: In this question we use the complex numbers x = 1 + 2i, y = 3-i, 3π 3π √2(cos ³4+ isin ³7). Complete…

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Q: d) In() %3D (2n +3) пi, n € Z

A: ln(i)=2n+12πi, n∈ℤ      i=0+1i=1·eiπ2       =1·eiπ2+2πn       for n∈ℤ Since,          |i|=1 and…

Q: 30. The complex number 1 + V3i can be expressed in exponential form as 2e A в 2e- is 2e- 2e D

A: In the given question we have to expressed the complex number z in the exponential form…

Q: iv) in complex number z3. (7)? = |z|?. z

A: Complex number: A complex number has the form z=x+ιy, where x is called the real part and y is the…

Q: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. а. 2 b.…

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Q: * Enpress the following complex #s into real and Fmaginary part 3 = It i

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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: 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: 1) If we have the following complex numbers: Z, =2+3i, Z, =3-2i %3D Z, (d) Find (a) Z, + Z2 (b) Z,…

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Q: 2 10 -2- -4 -6- -8- nd 3 – 2i, then find their product as a complex number. pllowing table: es…

A: We have to find the following conditions according to the given information

Q: V-1, is If x1 = represented by the point A (4, -3) in the x-y plane shown below. If point B, not…

A: The correct answer is 26.2 (approx.)...see the attachment below for the detailed explanation

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

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Q: Given two complex numbers z 3-3j, and w =1+7j, %3D which of the following options equals ?

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Q: 12. Write the complex number -4 + 4i in polar and exponer

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Q: 8. Consider the complex number z = 2 + i and w = 7 – 2i. Write down the real and imaginary parts of…

A: Given : The complex numbers z = 2 + i  and w  = 7 - 2i.   To write the real and imaginary parts of…

Q: Find the standard form of the complex number 6(cos 17°26' + isin 17°26'). Round values to the…

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Q: What is the algebraic form of the complex number 13 e 12+5i 5-12i 12-5i 5+12i

A: We will use the basic theory of complex numbers to answer this question.

Q: iii) How are the complex numbers z1 and zz related if arg(z1) = arg(z2)? Buildup examples for this…

A: Given: z1,z2 are two complex numbers such that argz1=argz2, To find: The relation between z1 and z2,…

Q: Given the complex numbers  z = 8 (cos(8π/15) + i sin(8π/15))  w = 1/2 (cos(17π/15) + i…

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Q: 13 Jlgull If z,,z, are two complex numbers then:

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Q: z is a complex number with |2| = 6. The triangle formed by z, z?, z° has a right %3D angle at z.…

A: Use the following formulae, to obtain the solution. i2=-1 x+iy=x2+y2 If z=x+iy is a complex number,…

Q: 11. The vertices of an equilateral triangle are equidistant from the origin. One of its vertices is…

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Q: Let z be a complex number. Then cot(5z – n) is equal to

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Simplify the complex number z = j(-1+ j) and plot the result on your Argand diagram. Then, find the…

A: Given :           z = j(-1 + j)        To simplify z and to plot the result on Argand diagram.…

Q: From the following rectangular complex number Z-4+3i, Z-2-3i and Z,--5+2i Find the poler form?

A: Given:     z1=4+3i      z2=2-3i      z3=-5+2i For a complex number z, expressed in Cartesian form as…

Q: 1. Write the complex number 2 + iv3 in the form of rei0

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Q: - find polar form of the complex number z = (2√3-4i) + (-√3+51)..

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Q: What is the exponential form of the complex number 4 + 3i A) 5eba, 13 B) 5ebs,a7e © 7e5z, 12 D 7e…

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Q: 1. Write the complex number 2+ iv3 in the form of reie

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Q: Find the square roots of the complex number 16i (hint: there will be two) (hint 2: convert to…

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Q: 1. Write the complex number i+= in the form of rele V3

A: The polar form of complex number  is    , where     and  and .

Q: To do: 6. If Z1 = 2 + 51, and Z2 = 3 - 21, then what is Z1 x Zz as a single complex number? What do…

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Q: Express the given complex number in rectangular form. Express components in exact form. (No decimal…

A: Given query is to find rectangular form.

Q: 3. Símplify to a complex number: 3 + 6i 3i

A: Given, complex number = 3+6i3i   We have to simplify the complex number

Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices   19.7(cos23.96°+ ?…

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Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

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Q: what are the complex numbers z1 and z2? for z1 i got z1= 3(cospi/12 + isinpi/2), z2= 2(cos7pi/12 +…

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Q: Let i denote the square root of –1. For the two complex numbers z = 3e 3 and w = 6e'3 find z. w.…

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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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