i. Show z on an Argand diagram ii. Express z in polar form iii. Express z in exponential form

Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x + (y + 5)? = 25…

A: The equation in rectangular coordinates is given by x2+y+52 = 25 To evaluate : The polar equation…

Q: Convert the following to standard polar form. a.)z =-53- js b.)z=2– jy12 c.)z=-33 + j/27

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Q: Find the polar form of z = √3+ i and use it to compute z².

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Q: Evaluate and express in Polar Form T=j06-j08 + j2022 a.

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Q: Determine in polar and Cartesian forms (a) [3/41°]* (b) (-2-)5.

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Q: 4 - i (a) 7 r = , 0 = (b) –87(4 + i/3) r = ,0 =

A: Given:  a) 4-i7   The standard form of complex number is  =47-i7  For a complex number a+bi, the…

Q: Let z1 = 1+ jv3 and 22 = V2 - jV2 . = v2 – jv2 Find the product of z1 22 in standard polar form.

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Q: Let z = :-3/2 + iv2 and w = 2+ i. (a) Find the real and imaginary part of . (b) Find the polar…

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

Q: 2. Given z (22 + m) + 4i and 2= -6 - (8 + n)i. Find w and write it in polar form

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Q: 1. Change to polar form, then evaluate: -x-1 х — у dydx V1-x² /x² + y² -1

A: Solution is given below..

Q: 2. Given z = (22 + m) + 4i and =-6-(8+n)i. Find w and write it in polar form %3D m = 5 N = 4

A: Given: z=22+m+4i and zw=-6-8+ni To Find: Find w in the polar form if m=5,N=4

Q: Let i denote the square root of −1. Suppose w=1+i. Find three cube roots of w in polar form.

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Q: 2. Let z1 = 1+ 3i and Z2 = 4 - 31. Find the product of z, and z2 (in polar form). %3D 3. Find the…

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Q: Given z = -1- V3j a. Represent z on Argand Diagram showing all features of the diagram. b. Express z…

A: z=-1-3j r=x2  +y2                 tan∅=y/x tanα=|y/x| z=rcos∅+irsin∅ r=1+3 r=2 tanα=3/1 α=tan-3 α=60…

Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: Evaluate and express in Polar Form d. A=cosh (3-j4)

A: The general form of a complex number is given by z=a+jb, where j=-1. Any complex number in the form…

Q: Evaluate and express in Polar Form b. E= (8 - j5)¹/3

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Q: z = 1- 3i Let a. Find the polar representation b. Calculate z3

A: See the attachment.

Q: Convert the polar equation to rectangular form and sketch its graph. r= 70 -14 14 л 7 -7 у -14 л 14…

A: The given polar equation is r=7θ. We have to convert this polar equation into rectangular form and…

Q: 2. Represent z = 3 – 3i in polar form.

A: As we know that; The polar form for the complex number z=x+iy is: z=rcosθ+isinθ  .....(1) Where;…

Q: 3. Evaluate and write the final answer in Polar Form (40 points) 8 8TT a. 3(cos5 + isin 4 V2(cos +…

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Q: Express z 13+ V3i in polar form. Find the value of z if e =1.

A: Complex number in polar coordinate is given as:  z=reiθWhere r=x2+y2   θ=tan-1yx Given complex…

Q: 2-the polar form of z=(-1-i ) is

A: The given complex number is z=-1-i. Let z=rcosθ+isinθ be its polar form. This implies that,…

Q: If z1 = 1 + 3j , and Z2 = 2 – j , which of the following options shows the product Z1 Z2 in polar…

A: Solution

Q: Convert the following equation to polar coordinates. y=7x² F

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Q: the graph of polar function r = 2+3 cos 0 on a polar plane.

A: We have to draw the graph of the given polar function in the polar plane.

Q: 9. 1.7e1.2-/2.5 into polar form Ans.

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

Q: If z, =1+(2+\3)i and z, =-2-2i, express z, and z, in polar form. ii) find z,z, in exponential form.…

A: In this question, the concept of Polar and exponential form is applied. Polar Form Apart from…

Q: write z= -6+ 6t in polar form

A: z= r cos (theta) + r sin(theta) this is polar representation