What are the polar coordinates (r,θ) of the points of intersection of C1 curve with polar equation r=2+2cosθ and C2 curve with r=6cosθ?

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: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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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: What are the rectangular coordinates of the point with polar coordinates (r, 0) =(-6, ?

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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

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Q: Find the distance between the two points (4, 2.5), (12, 1) in polar coordinates.

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Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) %3D 2

A: Given: The given Cartesian coordinates are x, y=932, -92. Let the corresponding polar coordinates be…

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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: 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: Sketch the curve with polar equation r = 2sin3θ.

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Q: Sketch the graph of the following polar curves θ= π/2 , for all r. What does it represent? Find it’s…

A: Graph of  θ= π/2 is

Q: Convert the polar curve r=6cos(θ)+6sin(θ) to Cartesian coordinates. choose the correct ones from the…

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Q: Find the analogous polar equation for horizontal lines in the xy-plane.

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Q: Sketch the polar curve 0=1

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Q: Convert the point (3, V5) from rectangular to polar coordinates with 0 < 0 s a/2. (Round your…

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Q: Sketch and find additional polar three points for (2,4pi/3). When r&gt;0 and r&lt;0. And theta is…

A: Given polar coordinate:

Q: When a polar function is symmetrical about both the x- and y-axes, why is it also symmetric about…

A: Given that the polar function.

Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: Do a complete analysis to determine the points of intersection of the polar curves r = 4 sin 0 and…

A: We need to find the points of intersection. So,              4sinθ=1+2sinθ⇒sinθ=12⇒θ=π6+2πn,…

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

A: The given curve is r=csc θ.

Q: Determine two pairs of polar coordinates for the point with 0°\< theta < 360: (3,-

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Q: Express the 2D Cartesian  point P(5,10) in Polar coordinates

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Q: Determine two pairs of polar coordinates for the point with 0°\

A: The objective is to determine two pairs of polar coordinates for the point with 0°.

Q: r=1+2 sin 0

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Q: What is the polar equation of the vertical line x = 5?

A: Given veritcal line is x=5. In polar coordinates, we have, x=rcosθ, y=rsinθ Therefore, given…

Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

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: • Make your own artwork on symmetry • 1 artwork - symmetric with respect to 0 = ", (y – axis) | 2 •…

A: The solution is given below

Q: Find two sets of polar coordinates for the Cartesian point (-1, -v3).

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

A: r = 3            a vector of length '3'. θ = -3π4  '-ve' : Rotate clockwise by 3π4…

Q: Express the polar equation r=2 sin 0 in cartesian coordirates.

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Q: 4. Consider the point with rectangular coordinates (1, 1). State the coordinates of the point in…

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Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

Q: r2%3D16 sin 20

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Q: Use the Distance Formula to approximate the distance between the two points in polar coordinates. 5,…

A: We are going to solve

Q: Find a polar coordinate (in the form (r, theta)) with a negative value for r that describes the…

A: Answer

Q: What is the cartesian coordinates equation of the curve r= 3+ 3secθ given its equation in polar…

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Q: Find the length of the latus rectum of the curve r = 2/(1 - cos( theta )) in polar coordinates.

A: Given r=21-cosθ

Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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

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Q: Find a polar equation that has the same graph as the equation in x and y.2y = -x

A: Given, 2y = -x To evaluate polar equation that has the same graph as the equation in x and y.

Q: Plot the points with polar coordinates (4, T) and -5, - *-) using the pencil. 2n 3 3n 4 4 6 4 6. 一6

A: Given query is to graph the polar coordinates.

Q: Transform the polar equation 0 to an equation in a and y. %3D 4

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Q: What is the polar equation of the horizontal line y = 5?

A: Given the cartesian equation of horizontal line: y=5