Sketch the circles in Exercises 53-56. Give polar coordinates for their centers and identify their radii. 53. r = 4 cos 54. r = 6 sin 0 55. r = -2 cos 0 56. r = -8 sin 0

Q: Sketch the polar curve r = 2 − 2 cos(θ). can you please show how you found all the points necessary…

A: In the question it is asked to draw polar curve for function r=2-2cos(θ).

Q: Write in Polar form: r(cosθ+isinθ)r(cosθ+isinθ). (0≤θ<2π0≤θ<2π and round to 3 decimal places)…

A: Given:     z = 8 + 10i    0≤θ&lt;2π

Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

Q: polar curves intersect at right angles.

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Q: Sketch the polar curve r = cos(20) COS

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Q: Convert the polar equation to recta e = . %3D

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Q: Discuss the determined the formula of area in polar coordinate with an example ?

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Q: snip

A: Polar system is a two-dimensional system . "r" is the distance of the point from the origin .  θ is…

Q: Given polar equation is r = 2- cos 0

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Q: 65 7 4 8 9 10 12, 11 13 14 171 15 16

A: The UCS origin (0, 0), which is the point where the X and Y axes meet, serves as the starting point…

Q: Sketch the polar graph of r=3-sin(theta)

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Q: Sketch a graph of the polar equation and find the tangent lines at the pole. r=4sin3(theta)

A: First, we will plot r=4 sin3θ with the help of an online calculator.

Q: In Exercises 40–46, convert each polar equation to a rectangular equation. Then use your knowledge…

A: r=3

Q: change from polar to cartesian Corordina tes (3,)

A: We have to change the cordinate

Q: In Exercises 47–49, test for symmetry with respect to a. the polar axis. b. the line 0 = 2 c. the…

A: (47) Consider the provided the curve, r=5+3cosθ Find the test for symmetry with respect to polar…

Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: How to get the center of r = 6sinθ in polar coordinates. Need detailed explanation.

A: We have to find the centre of r= 6sinθ.

Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

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Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: What are the polar equations of the lines parallel to the liner cos (θ − π/3)= 1?

A: rcosθ-π3=1

Q: The polar coordinates of a point are unique. True. False.

A: Each point has a specific polar coordinate, which is combination of its distance from origin and…

Q: Sketch a graph of the polar equation r = 4 sin 3θ  and find the tangent lines at the pole.

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

Q: Sketch the circles . Give polar coordinates for their centers and identify their radii. r = 4 cos u

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Q: Find polar coordinates of the point whose rectangular coordinates are (0, -4). Express u in radians.

A: Given: x,y≡0,-4 we know that polar coordinate for given rectangular coordinatex,y is given by r,θ…

Q: Which polar equation is represented by the figure?*

A: Solution :- this graph is  r=a sin(2theta)

Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

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

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Q: In Exercises 59-74, convert each polar equation to a rectangular equation. Then use a rectangular…

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

Q: Find the exact length of the polar curve r = (theta)^2 from 0 &lt;= theta &lt;= 2(pi)

A: The given curve is

Q: Write the equations that are used to express a point withCartesian coordinates (x, y) in polar…

A: To convert Cartesian coordinates x,y in polar coordinates. In polar coordinates point is given r,θ.…

Q: Convert the following polar curves into Cartesian r=2/(4-cos theta)

A: We know that--&gt; r2 = x2 + y2  x = rcosθ y = rsinθ

Q: Given polar equation is r= 1- cos 0

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Q: Find the rectangular coordinates for the point whose polar coordinates are given. (-2.) (x, y) =

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Q: It can be shown that the polar curve r = a sin(0) +b cos(0), where ab + 0, is a circle. Find the…

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Q: Illustrate what are the intersections of polar curves?

A: Question- Illustrate what are the intersections of polar curves? Answer- If the equations are…

Q: Find the exact length of the polar curve. 3 sin(0), 0 < 0< 1/2

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Q: 1. Convert the Cartesian coordinate (12,5) to polarcoordinate.

A: Given the cartesian co-ordinate(x,y)=(12,5)

Q: Describe the test for symmetry with respect to the polar axis.

A: The graph of a polar equation is symmetric with respect to the polar axis if replacing r, θ with r,…

Q: Sketch the circles in Exercises 53–56. Give polar coordinates for their centers and identify their…

A: Note: We’ll answer the 53rd question since we answer only one question at a time. Please submit a…

Q: A point lies at (4, 4) on a rectangular coordinate system. Give itsaddress in polar coordinates (r,…

A: We have to address in polar coordinates r, θ where point is lying in rectangular coordinate system:…

Q: What are polar coordinates?

A: Given: Polar co-ordinate: a pair of coordinates locating the position of a point in a plane the…

Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

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Q: Sketch the polar graphs and find the points of intersection for the curves: r = sin(θ) and r =…

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