find wz and z/w anwer in polar form z=3(cos130 degrees+i sin 130 degrees) w=4(cos270 degrees+i sin270 degrees)

Q: Find z1z2 in polar form. 21 = 3 cos +i sin 22 = 4 +i sin ((늘)에

A: The objective is to find z1z2 in polar form.

Q: Q7:- sketch the graph of the following polar equation. 3- r = 6 cos 6 1- 0 = 6. 5- r= 3(1- sin0) 2-…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 21 in polar form. 2 Find z1 = 24 (cos(150°)+i sin(150°) ); z2 = 8 (cos z2 = 8 (cos(95°)+i sin(95°))

A: The given complex numbers are z1 = 24[cos150° + i sin150°] z2 = 8[cos95° + i sin95°] To find z1/z2

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

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Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. z1 = 3(cos(250°) + i…

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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: swer in polar form where r> 0 and

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Q: II. Given the polar curves 62 r = 1 + sin and : 63 r = 3 sin 0. 1. Determine the intersection points…

A: Let us consider the curve r=f(θ), θ1≤θ≤θ2 The area under the curve is obtained as, Area=12∫θ1θ2r2dθ…

Q: Find z1 /z2 in polar form. z1 = 16( cos(110°)+i sin(110°)); z2 = 2( cos(40°)+i sin(40°))

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Q: 2. Write z = -ói in polar form. O z = 6cis= 2 O z = 6cis- Oz =-6cis- 2 Oz = 6/2 cis 37 2 3. Write z=…

A: Let, z= 6 (cos(π/2) +isin(π/2))  or, z=6cis(π/2)

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: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

Q: Given the polar curves 62 r = 1 + sin and C3:r = 3 sin 0. 1. Determine the intersection points (in…

A: Given clear explanation

Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

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Q: 3. Find the polar coordinates of all points on the cardioidsr=1- sine, at which there is a…

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Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2)…

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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: Plot the poing (5/2, 5root3/2) and give polar coordinates for the poing where 0<theta < 360

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

A: We are given the complex number : z=-2-i=x+iy⇒r=-22+(-1)2=5tan θ=-1-2=12Now, x=r cos θ&lt;0and y=r…

Q: 4. Explain how to convert 2² 2² 2² dz2' 7²= + дх2 ' дуг in the Cartesian coordinates system to + 10…

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Q: Q2:- find the polar coordinates for the following points. 4:- (2,2 3) 10:- (-3,3/3) 11:-(1,1)…

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: test for symmetry and graph polar equation

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Q: compute the length of the polar curve.  The cardioid r = 1 − cos θ in Figure 16

A: compute the length of the polar curve.  The cardioid r = 1 − cos θ

Q: If z = r cos 0 + ir sin 0 then 1 / z has absolute value __ and angle __ . Its polar form is __ .…

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Q: find the quotient z1 / z2 in polar form where z1 and z2 are given below.  z = 24 [ cos ( 125° )] +…

A: We have to find polar form

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

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Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. z = 4√3 -4i,  w = 8i

A: We have to find the polar form for zw, zw and 1z where z=43-4i and w=8i. First, we have to convert z…

Q: Divide. 6√5cis (11) + 3√6cis (5) Drag a value into each box to correctly express the quotient in…

A: Given the query is to find the value of the expression.

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: Calculate the length of the polar curve r =1-sin Oon the given interval (0, 2).

A: Formula to find the arc length helps to find the required arc length. Formula to find the arc…

Q: Find zw or 2 as specified. Leave your answer in polar form. w z = 10(cos 30° + i sin 30°) w = 5(cos…

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Q: (0.2-j0.6) exp

A: Here we have to express tan (0.2-j0.6) in polar form.

Q: 1. What is the polar form of (5-jl5) × (8+j6)?

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Q: Which of the following is one of the points of intersection of the polar curves r = 3 cos @ and r =…

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Q: 6) Perform the indicated operations. Leave the resul in polar form. [50(cos 236° + j sin…

A: Given, 50cos236°+jsin236°2cos84°+jsin84°125cos47°+jsin47°

Q: 9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r…

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: Find z1z2 in polar form. = 4 (cos(140°)+i sin(140°)); z2 = (cos cos(40°)+i sin(40°) Z1

A: We use the fact that  Cost+ i Sint = eit

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

A: The objective is to write the polar form of complex number z=-2-i

Q: Find z1 · 22 in polar form. 2cis(50°) , z2 = 5cis(300°) 21· 22 = cis(

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Q: 2. (a) Convert (5/3, , –5) to polar corodinates with r > 0 and then with r < 0.

A: If cartesian coordinates are (x,y) then polar coordinates are (r,θ), where  r2=x2+y2tan θ=yx Here…

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: roblem 1: onvert from rectangular to polar form: a) 2 + 2v3i b) 3- 4i =) V3 - i

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

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: 1. Express in polar form, z =-4 + j2.

A: Since not a particular question asked as per guidelines solution to only first question(i.e Q1) is…