(5) represent the Following in Polar form (a) -5 +5i (b) -ro- Jz i (C) - 3? |

Q: 3/2 – 3V2i in Express the complex number z = polar form r cis 0. Select the correct answer below: 5л…

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Q: 3. Find the cartesian equation of r cos 0 = -4 and identify its graph.

A: To find the Cartesian equation of rcosθ=-4 and identify its graph. Solution: In Cartesian…

Q: Convert x² + y = 3 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation…

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Q: Write the complex number z =(-1+3i) in polar form: z = T(cos 0+isin 0) where and 0 The angle should…

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Q: Example 1b In polar form, write out AB A 2.5 m В C D X. 2 m - -1.5 m

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Q: Sketch a graph of the polar equation. r = sin(60) π/2 -1.0 -1.0 0.5 1.0 -1.0 0.5 x/2 1.0 0. -0.2…

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Q: (4230°)² 3. - (6 – 4i)“. Express your answer in polar form. - (2cis60°)³

A: Given: 4∠30°22cis60°3-6-4i2 To express: Given complex number in polar form.

Q: 7) a) Convert 3+ j to polar form. b) Use the result from part (a) to evaluate (v3+j)ª. You can leave…

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Q: An equation of the line y=4x-2 in polar coordinates is: r=0 r=-4/(2cose -sine ) O r=4/(2cose -sin® )…

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Q: Find z1z2 in polar form.  z1= 3(cos(pi/2)+ i sin(pi/2)) ; z2 = 9(cos(pi/4)+ i sin(pi/4))

A: z1=3cosπ2+isinπ2,  z2=9cosπ4+isinπ4

Q: Interior of r = 9 – sin 0 (above the polar axis) -

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Q: Find z1z2 in polar form. Z1 = 9 ( cos +i sin 22 = 6 +i sin 4

A: R eiθ=Rcos θ+i sinθ

Q: 4Evaluate in polar fom; 1)' 3(-344i + (3+4i)(-2 3-4i

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Q: Sketch a graph of the polar equation. r- -2(1 + sin(0)) n/2 7/2 4. 2 .4 4 -2 2 4. -2 -4 n/2 7/2 4. 4…

A: Given, r= -2(1+ sin theta) Plotting for the given polar coordinates we have,

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: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Using poler coordinate

Q: 32 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 5 – 3 sin(0)

A: We have to sketch the graph of r=325-3sinθ. Use the graph to write a Cartesian equation for the…

Q: In Problem,identify the conic that each polar equation represents and graph it.

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Q: 3 Sketch Polar e quacetion r=2-3 sin ♡

A: Consider the given polar equation: The objective is to make a table from 0 to 2π and sketch the…

Q: In Problem,identify the conic that each polar equation represents and graph it.

A: We know that the general Cartesian form of a curve is : Ax2+Bxy+Cy2+Dx+Ey+F=0 Determinant=B2-4AC.

Q: -2-13 / 3+j4 evaluate in polar form....

A: we have -2-133+j4 after simplify it will be -153+j4 Now,…

Q: Given z1 = 4 cos I isin and z2 = 2 cos I isin find z1z2 and 3 3 write the product in polar form.

A: Given: z1=4cos 4π3+i sin4π3  z2=2cos π2+i sinπ2   To find z1z2

Q: 2. Give 3 other representation of the polar coordinate (changing the sign of r at least once). (2)

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Q: (4430°)-(24225°) d. (24140°)(34300°) (Express your answer in polar form)

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Q: 2. a) If -1 o £ 2, give three polar points in the torm of Cr,@) eanivalent to Cartesian point…

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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: 6 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers…

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Q: (a) Convert 6 + 2i to polar form.   (b) Express 5 cis 30° in the form a + bi. Give an exact answer.

A: The complex number x+iy is represented in polar form, r cis(θ). Such that,

Q: (4Z30°)² 3. - (6 – 4i)². Express your answer in polar form. - (2cis60°)³

A: Given that: (4∠30°)2(2cis60°)3-(6-4i)2

Q: Identify and draw the conic r(2 + sin 0 ) = 6.

A: In this question, we have to identify the conic and draw it.

Q: 6 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers…

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Q: 28 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4+ 3 sin(0)

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Q: Match the point (-3,7/3) in the polar coordinates with either A, B, C, or D on the graph. 4+ 3+ •B…

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Q: -4 -3 -2 -2 41 Which of the following is the polar equation for the graph shown above? Or = 3…

A: Sketching the graph of r=3 cos2θ, we get Which is not same with given one.

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: Convert In(x) = 5 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation…

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

A: We have to write the given complex number into polar form

Q: 2. Given z (22 + 0 ) + 4i and = -6 – (8 +0)i. Find w and write it in polar form

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Q: Sketch a graph of the polar equation. r = 1- 2 cos 0 A/2 A/2 3 2 1 -2 1 3 -3 -2 -1 3 -2 -3 л/2 A/2 3…

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

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Q: (a). Express z=3 + V3i in polar form. (b). Find the value of z if e- =1.

A: z=3+3i Comparing with z=x+iy, we get x=3,  y=3. Now, r=x2+y2=32+32=3+3=6 &amp;…

Q: What is (x - 12)² + y² = 144 in polar form? r = 24 sin 0 r= 24 cos 0 O Option 1 r= -24 sin 0-144…

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Q: Convert eVx = 6 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation and…

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Q: 1. Write z = -6+ ót in polar form. O z 6 V2 cos-+i sin 4 4 = 2/6| cos- +i sin- 4 O z = 6 /2 cos…

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

Q: 3Q. If z₁ = (cos50 – i sin 50), z₂ = (cos70 + i sin €) and z3 = (cos40 – i sin 40) then find 4 polar…

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Q: Convert the rectangular equation 2x - 4y = 5 into polar form. 1 O r = 2 cos 0-4 sin 0 5 Or 2 sin 0-4…

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Q: 3 Find z' in polar form. 4[cos(25°) + i · sin(25°)] 23 cis( %3|

A: Polar form of a complex number

Q: Convert the followig into polar form,  2y=x-x3-xy2

A: The relation between cartesian coordinates x, y and polar coordinates r, θ is given by: x=r cosθ;…

Q: a) 5+5root3i convert to polar form b) 3+2i convert to polar form    0<theta<2pi

A: a) Consider the given complex number. 5+53i The polar form of the complex number z=a+bi is:…

Q: IV. Convert z = -4 + j3 into: a.Polar Form b.Trigonometric Form C.Exponential Form

A: Polar form, exponential form