Find two other pairs of polar coordinates of the given polar coordinate, one with  r > 0 and one with r < 0. Then plot the point. (a) (4, 5pi/3) (b) (−6, pi/4)

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with…

A: We will use different notation of a point in polar coordinate system.

Q: Plot the point- 3, - given in polar coordinates, and find other polar coordinates (r,0) of the point…

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Q: 4. (a) Plot the following points in the same polar coordinates system (b) Convert into rectangular…

A: To convert the polar coordinates r,θ to rectangular coordinates x,y then x=rcosθ and y=rsinθ

Q: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and θ.)…

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Q: Express y=x^2 in polar coordinates.

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Q: A. Convert the rectangular coordinate to polar coordinate with r > 0, and 0<0<2n. (-16.-/2)

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Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with…

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Q: Find a polar equation in the form r cos (0 - 0) = ro for the line x = - 12.

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Q: Find a polar equation for the curve represented by the Cartesian equation: x^2 - y^2 = 4

A: The Cartesian equation for the variables x and y are,

Q: Convert x = 8 to an equation in polar coordinates in terms of r and 0.

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Q: Q2: Discuss the symmetry and plot the locus of polar equation r-3+2sine.

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Q: onvert the point p = (2,7) in the polar coordinate system to its artesian coordinate equivalent, and…

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Q: Find the polar equation for a parabola with its focus at the origin and whose directrix is y = -a…

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Q: 1. Give two other polar coordinate representations of the point, one with r > 0 and the other with…

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Q: Plot the point 2. given in polar coordinates, and find other polar coordinates (r,0) of the point…

A: 2, π6 The graph is, Hence option C is correct.

Q: Q1) Convert the point p = (2,) in the polar coordinate system to its Cartesian coordinate…

A: We know that conversion from polar coordinate (r, θ) to Cartesian coordinate (x, y) is as follows:…

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with…

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Q: Determine two pairs of polar coordinates for the point with 0° <0 < 360. 20) (3, - 3)

A: Given query is to find the polar coordinates.

Q: Find the equation in polar coordinates of the line through the origin with the slope 1/5 .

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Q: Find the distance between the two points (2, 0.5), (7, 1.2) in polar coordinates.

A: Here, we have given two points in the cartesian coordinate system (x, y). So,…

Q: 3. Find the rectangular coordinates of the point with polar coordinates (-1,. 플).

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Q: Convert x2 -4x+y2=0 into a polar equation.

A: Convert x2 -4x+y2=0 into a polar equation

Q: Find an equation in polar coordinates that has the same graph as the given equation in rectangular…

A: To convert the rectangular coordinates to polar coordinates, substitute x with r cosθ and y with r…

Q: Convert the rectangular equation to polar form. x2 + y2 = 25

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

A: The given curve is r=csc θ.

Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π

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Q: 13n Match the point in polar coordinates 2, to the points A, B, C, or D. 4

A: Here simple we satisfy angle property

Q: Plot the point 2, given in polar coordinates, and find other polar coordinates (r,0) of the point…

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Q: Find the polar coordinates (r, θ) corresponding to the specified conditions. When the point in the…

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Q: Q1/ A// 1- Plot the Point in polar coordinates: (2, 8t/3) 2- Convert from polar to rectangular…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: 4T Find the rectangular coordinates of the point whose polar coordinates are given (4, Select one: O…

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Q: Plot the point that has the given polar coordinates. (-3,1) x/2 0 x/2 x/2 x/2 0 Give two other polar…

A: Any point on the polar coordinate system can be represented using the ordered pair: r, θ. The…

Q: Q1 Rewrite the polar equation r= 2sin0cose in Cartesian form- Q2 Convert the Cartesian equation to…

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Q: Plot the point (- 10,3x), given in polar coordinates, and find other polar coordinates (r,0) of this…

A: r, θ=-10, 3π The graph is,

Q: Q5/Change the polar equation 2r = 2 + cos8.(2r - 1) to Cartesian equation

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Q: Convert the equation 9(x2 + y2) = (x2 + y2 − 2y)2 to polar coordinates, and plot it with a graphing…

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Q: Plot the point that has the given polar coordinates. (-2. - ) A/2 R/2 2 R/2 R/2 Give two other polar…

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Q: Q6: Find the Cartesian coordinates of the following points (given in polar coordinates) a- (-3,…

A: (a) Given data is : -3,5π6 To find the cartesian coordinate from the given polar form. Here…

Q: Find two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot…

A: I am attaching image so that you understand each and every step.

Q: Convert x=3y+1 into a polar equation.

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Q: Replace the Cartesian equation x²- y² =1 with a polar equation. |

A: For conversion to polar from cartesian, substitute the following. x=rcos θy=rsin θ

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

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Q: Consider the following equation (x² + y²)² = 4 (x² – y²). a) Convert the equation to a Polar…

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Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with…

A: -3,π4 is (r,θ) Here r=-3 &lt;0 For r&gt;0, the point is obtained by rotating the angle theta by 180…

Q: Find the polar equation for the Cartesian curve x² - y² = √√x² + y².

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Q: 20. Find two polar coordinates representations for the rectangular coordinate point (-6, 2/3), one…

A: Given: -6,23

Q: 5T and 3, 3 Plot the points with polar coordinates -5, using the pencil. 生3

A: Plot the points-5,-5π3 and 3,π6     Polar coordinatesx=r cosθy=r sinθ