Part I: Polar Points 1. Name the point (-2,7) in three other ways on −2ñ < 0 < 2ñ

Q: Solve the equation z* = -2 – 2/3i where z E C. (a) Write your answers in polar form. (b) Write your…

A: Note: Polar form of complex number  z=r(cosϑ+isinϑ) , where theta is the argument and r is the…

Q: Write polar form of z= – 2-i 5(cos2.68 – i sin2.68) 5 (cos2.68 – i sin2.68) 3 V5 (cos2.68 – i…

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Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: (c) Given z, = 16cis (-60°) and z, =8cis (45°). Find (i) 2, xz, in polar form. (ii) z,'+ z, in polar…

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Q: B- If (Z₁ = (3+ i5) and Z₁ = (2- i3) By using Polar form to find Z₁x7₂ 21.01722.721° 23.01722.721°…

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Q: (08.01 MC) Given point M (6.-6√3), which is located on the rectangular coordinate plane, what are…

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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: Convert to polar form. Then isolate r. (a) x² +y² -9= 0 (b) x² +y = 4x %3D

A: x2+y2-9=0 On simplification, we get ⇒x2+y2=9⇒r2=9         ∵r=x2+y2⇒r2=x2+y2⇒r=3

Q: 6. (3+ 2j)/(4 – 7j) 7. Convert -5 – 7j to polar form.

A: 6. Given(3+2j)/(4-7j) Rewrite the above equation as: (3+2j) (4-7j)× (4+7j) (4+7j) =(3+2j)(4+7j)…

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: Expressw= (-1-√2i) in polar form.

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Q: (2+3i)x1+(4+2i)x2=1+i Find x2 in polar form.

A: The given problem is to find the value of x2 in the polar form for the given complex equation. Given…

Q: express the answer in polar form (3 + 4)² [2430° + 2 <20° + 6e0.25³²] (3+ 7i) (5 La5°) + [3420*]²

A: It is given that 3+4i22·∠30°+2·∠20°+6e0.252i3+7i5·∠25°+3·∠20°2. The objective is to simplify the…

Q: Simplify (-V3+ i)*. 8e2i 5e-0.7i Determine the quotient of in polar form. O-8 – 12. 856 i 1. 6838e…

A: (1) -3 + i4 = (-32 + i2 - 23i )2                   = 2 - 23i2                  = 4 - 12 - 83i…

Q: Write z1 and z2 in polar form. z1 =sqrt(3) + i , z2 = 1+sqrt(3)*i 1/z2 =

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Q: 4. Let z = 4+4i and w = –10i in standard form: (a) Express z and w in polar coordinates, (0 < 0 <…

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Q: Write (1 + i)5 in standard form a + bi First we have to change (1 + i) to polar form = V1² + 1² = v2…

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Q: 1. Express 2/3 + 2i in polar form.

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Q: If Z₁ = = 13 - 10i and Z₂ = = −15+ 9i, determine the following: 4z₁ - 5z₂ (Polar Form)

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Q: +If z = 4el3, determine In z (a) in Cartesian form, and (b) in polar form Į Determine in polar form…

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Q: The equation can be rewritten in the following polar form: r = 1 r = −1 r cos(20) = 1 r cos(20) p²…

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Q: 3. Evaluate LLA" (4- y2) dydx by using polar coordinates.

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Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: 1. Convert to polar form (a) −3+4j (b) –10j

A: a) -3+4jb) -10j