1. Express each of the following in polar form: (а) —7і (b) —1— V3і (3+ (e) () 2 - i (d) (1 – i)º

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

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Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: ) (z, + z2) (Polar Form)

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

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: Let z = 1+ V3i. (a) Represent z in polar form (b) Find z10

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: To Identify: The coordinates of the point in polar form based upon the given conditions. Given…

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: If A = 40 e 120° ; B = 204 -40° and C = 26.46 + Oj. Determine A+B+C in Polar Form O 30.8445° O…

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Q: Match the point in polar coordinates with either A, B, C, or D on the graph. 2+ 1+ -3 -2 -1 -1 3 O B…

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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: Graph the line and conic section. r = 1/(1 + 2 cos u)

A: To graph r  = 11 + 2 cos u.

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

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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: In Problem,match each of the graphs (A) through (H) to one of the following polar equations..θ =3π /…

A: To draw: The graph of θ=3π4. Given information: The angle is θ=3π4. Explanation: Suppose a ray…

Q: a1/Giaph the Polar function? +4YCOS8-815ine=-4

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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: Find the equation of the following polar graph: 10 5- -10 -5 5n 10 -10 - a) Or = 2+4 cos(e) b) Or=…

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Q: 15 Find an equation in x and y that has the same graph as the polar equation = 4- 4cos Ø (A…

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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: he best answer. Question 4 What is the polar form of –2 - V3-j ? Note: Z symbolizes "cjs". Round-off…

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Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: Match the graph with its polar equation. r = 3 (1 + cos(0)) T/2 1/2 4| -2 2 4 -2 -2 л/2 T/2 3- 2 1…

A: Topic :- Geometry As per our guidelines , In case of multiple different questios ,at a time only one…

Q: = Replace the polar equation 8r cos 0 + 9r sin 0 Cartesian equation. OA) 8x +9y = 1 B) 8y + 9x = 1…

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Q: Draw the polar curve to ((x-3)2/32) - (y2/32) = 1

A: We have to draw the polar curves to x-3232-y232=1.

Q: In Problems 31–38, match each of the graphs (A) through (H) to one of the following polar equations.

A: Polar equations are given . we have to identify its graph. Note: we are answered with first there…

Q: Sketch a graph of the polar equation. r = 4- 4 cos 0 7/2 7/2 15 15 10 10 0. 15 -15 -10 -5 10 15 -15…

A: Given r = 4 - 4 cos theta r             4     2     1.172  0.536  0 Theta 90°   60°       45°    30°…

Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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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: Into polar coc x2 + y² = 3x %3D

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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: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: We need to find coordinates of given point.

Q: 1. Sketch the graph of r = 2 sin(20) in polar coordinate system T/4 31/4 5T/4 7T/4 in the polar…

A: Consider the provided polar equation, Sketch the graph of the polar equation. Now make the graph of…

Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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Q: 12.3: Problem 9 Convert the integral dy dx to polar coordinates and evaluate it (use t for 0):…

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Q: Plot the point that has the given polar coordinates. (-1, ) 5л 4 n/2 1.0 A/2 1.0 0.5 0.5 -1.0 -0,5…

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Q: Compute the length of the polar curve 702 for 0 s 0 < 4.

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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: Sketch the graph of r = a(1 – cos8) In polar coordinated , assuming a is a positive constant Is 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: V3 + i in Which of the following expresses z = polar form? Select the correct answer below: O 2…

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Q: 1. Find two sets of polar coordinates for (x, y) = (-V3,1, one with r> 0 and one with r< 0, both…

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

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

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Q: Given z1 = 5(cos 184° + i sin 184°) and z2 = 3(cos 271° + i sin 271°), find the following: 71 Z2=.…

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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: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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