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

Q: Determine z° if z=- j. Leave your answer in polar form, 2 2.

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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: 2. (3+j4)(6+)7) convert to polar form (Az0) Hint: x = en(x)

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Q: Let u = u(x, y), and let (r, 0) be polar coordinates. Verify the re- lation |V? = u; + zuổ Hint:…

A: Let u = u(x, y) and let (r, θ) be polar coordinates.

Q: Evaluate Z in polar form In [cot(4e13)] Z = j4

A: The given problem is evaluate and simplify the given complex expression and express in the polar…

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: Find the quotient in polar form, where z1 and z2 are given below. z1 = 30 cis 129° z2 = 5 cis 102°…

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Q: osen y

A: Is it sen y =x

Q: Evaluate into polar form 2-j7 3-j

A: Concept:  formula for a+ib in thepolar  form is rcosθ+isinθ  Here, θ=tan-1abr=a2+b2

Q: Draw the polar curve r = cos(30) with its orientation. Set up all integral to evaluate the length of…

A: First, find the node to the polar curve by equating r = 0, so cos(3θ)=rcos(3θ)=0(3θ)=-π2,π2θ=-π6,π6…

Q: If Z1= −4+j8  ,  Z2= 8−j5  ,  Z3= 3−j7   and   Z4= −8−j9   determine i) Z = (Z1*Z2*Z3*Z4) /…

A: Given complex numbers are: Z1=-4+8jZ2=8-5jZ3=3-7jZ4=-8-9j These complex numbers are given in…

Q: Find the length of the curve r = 2 sin^3 (u/3), 0<=u<=3pai, in the polar coordinate plane.

A: To determine the length of the polar curve.

Q: Evaluate the by itercated integreal onverzting to polare coordinates. V16-n² 3nd ydn V16-パ 16-42 -4

A: This integration problem is solved by converting rectangular coordinate into polar coordinate

Q: Convert ff Incxag) dA.aver. the.regian.cx.<e. segian.e.x+y.c.e. -.to.polar.form. and.…

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Q: B/convert the points below to the polar coordination (r,e) 1. (2,-2V3)

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

Q: 2. Let r>o and Fo tina20 And use polar coordinates KZQ and use polar coordiinates (8,7) >(0,0)

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Q: (b) Find z, z, in polar form given z, =4v5cis(60 ) and z, =7cis(150). I

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Q: Given z= -5 - 8i, what is z in Polar form?.

A: The polar form of a complex number a+bi is reiθ, where r=a2+b2, tanθ=ba. Calculate the modulus of…

Q: 15, Зп /2) 3TT Convert the polar coordinates to rectangula rcoordinates (5, 3n/2).

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Q: Find the areas of the regions in the polar coordinate plane described Enclosed by the limaçon r = 2…

A: The limacon is symmetric around the x-axis thus doubling the area of the part over the x axis gives…

Q: ») Shade the region in the complex plane defined by {rec: s |z+ 2+ 2i <1 4i E C

A: Complex plane

Q: Cannot solve

A: We have to use the formula: We have

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

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

Q: Let z1 =1+jv3 and z2 = v2 - jv2 . Find the product of z1 22 in standard polar form. Answer: a.…

A: Product of two complex numbers

Q: Use polar coordinates to evaluate 2/2 dydx. 3 1 0, (x²+y?)? O 5 Оз 6 O 2 O 1 O 4

A: To determine: The value of the integral  using polar coordinates, ∫12∫0x22x2+y232dydx.

Q: Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u.

A: The relation between polar coordinates r,u and rectangular coordinates x,y is x=rcosu…

Q: Give a parametric representation for the cylinder x^2+z^2=121

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Q: Prove that the distance, d, between two points with polar coordinates (r1, θ1) and (r2, θ2) is d =…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: If Z1= −4+j8  ,  Z2= 8−j5  ,  Z3= 3−j7   and   Z4= −8−j9   determine i) Z = (Z1*Z2*Z3*Z4) /…

A: Given data: The complex numbers are, Z1=-4+j8Z2=8-j5Z3=3-j7Z4=-8-j9

Q: What is the polar form of 7- j9 ?

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Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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

A: Solution

Q: Show that every vertical line in the xy-plane has a polar equation of the form r = a sec θ

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Q: II. Express in polar form: (a) 3+ j5. (b) -6+ j3. (c) -4 – j5.

A: For a complex number a+ib the polar form is given by rsin θ+rcosθ where, r=a2+b2 and θ=tan-1ba.

Q: Find the exact length of the polar curve. r- e88, ose s 2n

A: The arc length of a polar curve r = f(θ) between θ=a and θ=b is given by the integral L=∫abr2+drdθ2…

Q: Q 2. (a). Express z= 3+ V3i in polar form.

A: Answer (a) We know that if x=x+iy    z=r=x2+y2 ∅=tan-1 yx   x=r cos∅ and y= r sin∅the polar form of…

Q: Reduce the following to polar form. (3– j4)(10|40°) 6+30 53.13° (6+ js)+-

A: By using polar to complex and complex to polar form we can reduce the expression to polar form

Q: 2(V3 – i) (1 + 1)?

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Q: Determine in polar form the three roots of –27/2 + j27v2

A: We will find out the required roots.

Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

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Q: 19.4. (a) Show that, when z is represented by polar coordinates, the C-R conditions on a function…

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Q: Find a polar x² + y² = 2y

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Q: Find in polar form: Z2 Z1 = 21cis (135°) Z₂ = 3cis (75⁰) Z2

A: Given;  z1=21 cis(135) z2=3 cis(75).

Q: 11. Find the rectangu lar coordin ates of a point whose polar coordinates are (4, 180).

A: Here we convert the rectangular coordinates into polar coordinates.

Q: The rotation about the origin at an angle e=180° is defined by (ху)-(ху) (ху)-(ух) O (x.y)->(x,-y)…

A: The rotation about the origin at an angle 180° is defined by :-

Q: 3. Transform x^2+y^2-2x+y-2=0 from rectangular to polar

A: The given rectangular equation is: x2+y2-2x+y-2=0

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…

Q: What is the polar form of equation z = 18 + 8j O z = 2.83 z 315° O z = 19.7 z 23.96° O z = 23.96…

A: Polar form of the complex number