2Q: Express the complex number z=- = -2/4 +7i in polar form and also represent it graphically. Hence find the value of In(z).

Q: Express the complex number z = 6 in polar form r cis 0.

A: given,          z=6

Q: Q3/ convert cartesian complex number 3-9i into polar form

A: The given complex number is:3-9i To convert into the polar form.

Q: Q4) a) Find the polar form and represent graphically the complex number 7-5j b) Express…

A: We have to find Polar Form of Complex Number 7-5j We have to express 3cos232°+jsin232° in…

Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: To find the fourth roots of -1 the De Moivre's formula convert the rectangular co-ordinate to polar…

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

A:

Q: find the quotient z1/z2 of the complex numbers z1 = 10(cos 10° + i sin 10°) and z2 = 5(cos 5° + i…

A: The complex numbers z1 = 10(cos 10° + i sin 10°) and z2 = 5(cos 5° + i sin 5°). We need to find the…

Q: Find two complex numbers a + bi in which a 0 V17 and b 0 with a modulus of

A: topic - complex numbers

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos π/5 + i sin π/5)and z2 = 4(cos π/10 + i…

A: Given:         z1 = 3(cos π/5 + i sin π/5)  and        z2 =  4(cos π/10 + i sin π/10)

Q: 1. Use Cauchy – Reimann Equations to identify if it is differentiable or not, if yes then…

A: We  are given : f(z)=z4 f(z)=u+iv and z=x+iy ⇒u+iv=x+iy4 ⇒u+iv=(x4+y4-6x2y2)+i(4x3y-4xy3)On…

Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: The polar form complex number (Z=12i )is

A: given  complex number Z=12i

Q: Express the complex number z = 7 – 3i in polar form

A: Given z=7-3i

Q: Determine all complex solutions of the equation cos(z) = 2.

A: First represent cosz in exponential form then make quadratic equations to find solutions as in next…

Q: Express the complex number z = 9√3+9i in standard polar form.

A: The given complex number,    z=93+9i

Q: 8(cos(30°) + sin(30°)i) , from polar to rectangular form. Convert the complex number, z = Enter your…

A: Convert from polar to rectangular

Q: Express the complex number z =-8 in polar form r cis 0.

A:

Q: 2. Find the set of points satisfying the equation in the complex variable z: |2* + 2i| = |3(z – 3i)|…

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Q: How may the following complex numbers be obtained fromz = x + iy geometrically? Sketch. -z

A:

Q: Write the complex number z = (1+ v3 i)" in polar form: z = r(cos 0+ i sin 0) where

A:

Q: 11a Express the complex number z 10 cis in 6. rectangular form a + bi.

A: Given problem is :

Q: (15) For the complex number z = ti find z2 by a) directly multiplying in the rectangular form given,…

A:

Q: b) Given the complex number z = -V32 + V32i. i. Express z in polar form. Vz and sketch ii. Obtain…

A: ----------------------------------------------------- Given: z = -32 + 32iAim: To express 'z' in…

Q: 2. Find the Cartesian (x+iy) form of this complex number 3π 3π Z=4(cos + 2 isin 377)

A:

Q: OConvert the complex number 2+i3 to polar form.

A:

Q: 2Q: Express the complex number z = -2√√4 +11i in polar form and also represent it graphically. Hence…

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Q: Convert complex number z=-1+/3i to a polar form z=r(cos(0)+isin(0))

A:

Q: Convert the complex number from polar to rectangular form

A: We want to convert the given complex number in to  rectangular form  Z=a+ib

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form. z1 = 10(cos 10° + i sin…

A: We have given complex numbers z1 = 10(cos 10∘ + i sin 10∘)z2= 5(cos 5∘ + i sin 5∘) We have to find…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos 5π/18 + i sin 5π/ 18) and z2 = 10(cos π/16…

A: Given two complex numberz1 = 3cos5π18 + i sin5π18z2 = 10cosπ16 + i sinπ16

Q: Express the complex no v3 + i in polar form. Also show it by Argand diagram

A: Given that z=3+i convert the given complex number into polar form  also draw the Armand diagram

Q: Find the powers of the complex number in polar form. Find z3 when z= 4 cis(65°).

A:

Q: find all complex values z satisfying the given equation cosh z = 2+3i

A: We know that - cosh x= (ex-e-x)/2 using it, the explanation is given below-

Q: Express the complex number z = - 1 - (square root 3)i in polar form: Z = r ( cos ( θ ) + i sin ( θ )…

A: Explained below

Q: Express the complex number z = 10 cis 270° in rectangular form a + bi.

A:

Q: Express the complex number z = –1 – V3i in polar form r cis 0. Select the correct answer below:

A:

Q: Q3 Put the complex number Z = 18 + 26i in the "polar" form Z = rele where r, 0 ER and both r and 0…

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Q: Find the quotient of z1 = -6+2i and z2 = 7+8i in polar form %3D %3D

A:

Q: Express the complex number z = -V2 - V2i in polar form r(cos 0+i sin 0). Select the correct answer…

A:

Q: Write the complex number z = -10 + 10i in polar form: z = r(cos 0 +i sin 0) where and 0 = ... The…

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Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: Given the complex number 18 in polar form and rectangular form.

Q: =(-1= v3i)³

A:

Q: Find the two square roots of z (call them wi and w2) and express in complex polar form r(cos(0) + i…

A:

Q: Find the quotient z1/z2 of the complex numbers z1 = 5(cos 4π/3 + i sin 4π/3)z2 = 10 (cos π/3 + i sin…

A: Given,   z1=5(cos4π3+i sin4π3)  andz2=10(cosπ3+i sinπ3) To find quotient z1z2: We know that,…

Q: complex

A:

Q: If the complex number z = x + iy is a solution of the equation z2 + z + 1 = 0 then show that z = x…

A: z2 + z + 1 = 0 Solve the given equation using quadratic formula…

Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: Given function, 3+j43 To find the roots in complex plane using De Moivre's formula.