7. (a) Let z = -1/2 + V3/2i. Write z in polar form and find the fourth roots of 2.

Q: Use the identity cos 20 = cos² 0 – sin² 0 to find a polar equation of the hyperbola x² – y² = 1.

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Q: Q2 Q1 Find the points of intersection of the polar curves r-cos () = 0 and 2-cos A-r=0

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Q: Q4/ Determine the fifth roots of 2-j5 in polar coordinates.

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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: 12/2 Use polar coordinates to evaluate dydx.

A: The region is bounded by x=1,x=2,y=0 and y=x

Q: Q4/ Determine the fifth roots of 2– j5 in polar coordinates.

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Q: Q2 Q1 Find the points of intersection of the polar curves r-cos 0 = 0 and 2-cos-r=0

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Q: Match the graph with its polar equation. r = 2 sin(0) 1/2 A/2 4 -2 -2 A/2 3- A/2 -1 1 2 4 -2 -1 1 2…

A: Topic :- Geometry Corect Answer= 3 r=2sinθr    θ0    01    π62     π20       π

Q: Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

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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: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

Q: 12/2 Use polar coordinates to evaluate dydx. 3 0. (x² + y²)²

A: To convert cartesian coordinates to polar coordinates , put x=rcosθ, y=rsinθ , dydx=rdrdθ So,…

Q: Graph the line and conic section. r = 8/(1 - sin u)

A: We can convert this into rectangular form. Then,…

Q: ln (3+j4) express in polar form

A: Polar form of logarithmic: Let us consider logarithmic form of complex number: ln(a+bj), where…

Q: - A tangent at the pole to the polar curve = V2 – 2 cos0 is 0 = r = A 3

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

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Q: Consider the polar curves C1 : r = −3 sin(2θ) and C2 : r = 3 sin θ. 1. What is the equation of the…

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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: The polar equation 9 cos 0 + 2 sin 0 = X + 1 9x + 2y 1 9y + 2x = 1 9x + 2y = x² + y² || || 1 - r in…

A: To find  the cartesian form of the given polar equation.

Q: Find the slope of the line tangent to the polar curve at the given point. 11n r= 4 sin e; - 2,-

A: Given,            r=4sinθ ; -2,11π6

Q: 1. Change ſ, Lz xy dydx to polar form. 4-x2

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: test for symmetry and graph polar equation

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Q: 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: Graph the line and conic section. r = 8/(4 + cos u)

A: Graph the line and conic section. r = 8/(4 + cos u)

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

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: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: 5. If z = 2(cos 25° +j sin 25°), find z in polar form.

A: It is simple calculation in polar form

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: 2. Express in true polar form, z 5(cos 55°-j sin 55°)

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Q: •5 25-x2 Evaluate (x² + y? )° dy dx by converting to polar coordinates.

A: To evaluate the integral using polar coordinates

Q: 44. A tangent at the pole to the polar curve r = 2- 4 sin 0 is af pole 0 = = D 0 = Sing 8sin

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

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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: Find the length L of the polar curve r = 6 sin for 0 < 0 <- 2 2 OL= 12 OL= 6 OL = 6/2 OL = 12 – 6/2

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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: Find the equation in xx and yy for the line tangent to the curve in polar coordinates…

A: Given that, the value of r=5+cos2θ and θ=π3. rθθ=π3=5+cos2π3=5+-12=92 Note that, the equation of the…

Q: 6. Find the length of the polar curve r = 1+ cos 0 on the interval 0 < 0 < n.

A: Given:

Q: Q1 Find the points of intersection of the polar curves rcos and 2-cos 0-r=0

A: The value of the cosine function  cos0=1cosπ6=32cosπ4=12cosπ3=12cosπ2=0cosπ=-1cos3π=-1cos2π=1

Q: A particle moves along the polar curve r =1– 2 cos 0 so that = 2. Find the value of d at e = , and…

A: We are given that,                     Now,              When          , Then

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: Find the two square roots of z (call them wi and w2) and express in complex polar form r(cos(0) + i…

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Q: Find the product z1 z2, expressed in polar form, if: 2; = cos +isin 2 co0 + isin = cos 12 12

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Q: Sketch a graph of the polar equation. r= sin(40) T/2 オ/2 1.0 1.0 -1.0 0.5 1.0 -1.0 -0.5 0.5 1.0 -0.7…

A: Given that r=sin(4θ) Here my objective to sketch a graph of given polar function.

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

A: Polar form of a complex number

Q: find the prduct of Z1Z2 and the quotient of Z1/Z2. Express your answers in polar form.…

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Q: a. Find the solution set for log, 2+2.log3 x= log, (7x-3) b. Plot the polar curve r 2(1-cose) in…

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