1. Find polar coordinates for the point in Cartesian coordinates (1, -1).

Q: Find the polar coordinates of the point with r> 0 and o ses 2n. (r, 8) = 2 0.5 1.5 2,5 3,5

A: Consider

Q: A Cartesian equation for the polar equation r 8 can be written as: %3D x2 + y?

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Q: Find the distance between the points with polar coordinates (4, T/3) and (6, 21/3).

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Q: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 0.)…

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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 and plot the Cartesian coordinates of the following point with polar coordinates (2, -n/2)

A: Here given polar coordinate as r, θ=2, -π2

Q: Question in Image.

A: To convert to polar form replace:  x with r cos θ y with r sin θ   We have y = 7x + 12   r sin θ =…

Q: coordinates

A: We have to choose the correct option according to the given information

Q: Two points in the xy plane have Cartesian coordinates (2.00, -4.00) m and (-3.00, 3.00) m. Determine…

A: Distance between two points is given as:…

Q: C) Replace the following polar equation by equivalent Cartesian equation. rsine Inr + In cose %3D

A: We can replace the given polar equation by equivalent Cartesian equation as below.

Q: Find the Cartesian coordinates of the point (given in polar coordinates). ((2(3)^1/2), 2pi/3)

A: We know that, cartesian co-ordinate x,y for polar co-ordinate r,θ is given by x,y=rcosθ,rsinθ We…

Q: Consider the point ( 4v2, ) 57 in polar coordinates. What are the corresponding rectangular 4…

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Q: Find the rectangular coordinates for the point whose polar coordinates are given. 4, 3 (x, y) = |

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Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

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Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (a) (-V2, 5x/4)…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the polar coordinates of the Cartesian point (2,2)

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Q: Convert the polar equation 4 cos 0 to Cartesian coordinates. Describe the curve. r =

A: We will convert the given polar equation into cartesian curve.

Q: Find the polar coordinates of a point with 7V3 7 Cartesian coordinates (x, y) = (-- 2 Select the…

A: To convert from cartesian coordinate (x,y) to polar coordinates (r, θ): r=x2+y2 θ=tan-1yx

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

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Q: 4. Consider the point with rectangular coordinates (-3, 3). State the coordinates of the point in…

A: Given: The point with rectangular coordinates (-3, 3). To state: The coordinates of the point in…

Q: The location of the polar coordinates (2, -TT/3) is in the second quarter of the x-y axis. O True O…

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Q: Q1 Find the polar coordinates of the Cartesian point (2,2)

A: We have to find the polar coordinates of the Cartesian point ( 2, 2 ).

Q: Find the Cartesian coordinates of the point (given in polar coordinates). (1, 0)

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Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: 8. Convert the point ( ) from Cartesian to Polar a) (1,) c) a.) b) G d) (L,프)

A: Given query is to find the polar coordinates of the point.

Q: Find the exact length of the polar curve. = 02, 0 < 0 < 27 %3D

A: r=θ2,0≤ θ ≤ 2πdrdθ=ddθ(θ2)=2θL=∫02πr2+drdθ2dθ =∫02πθ4+(2θ)2dθ=∫02πθ4+4θ2dθ=∫02πθθ2+4dθ

Q: Sketch the polar curve defined by the equation r =1+2cos(3t).

A: We will sketch the polar curve by finding the value of ' r ' for different ' t ', t varies from 0 to…

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

A: The given curve is r=csc θ.

Q: Find the polar coordinates of the point with r> 0 and 0 se s 2n. (r, 8) = 2 2 3 4 5

A: Major the distance from origine and angle made from horizontal line by the given point.

Q: Find a polar equation for the curve represented by the given Cartesian equation. 4y? =

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Q: Convert the given Cartesian equation to a polar equation. 22. у%3D4 21. x= 3 23. у%3D 4x?

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Q: (b) Convert the polar equation, r – 6r cos(0) + 9 = 16 into rectangular (Cartesian) coordinates. %3D

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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: / 2-Replace the Cartesian equations with equivalent polar equations. 1]. x-y? =1

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Q: Convert to polar coordinates with r &gt;= 0 and 0° &lt;=u &lt;= 2pi   (2,0)

A: We have the given rectangular co-ordinates as x,y=2,0 We can calculate the Cartesian coordinates x,y…

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

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Q: Convert the Cartesian equation to a Polar equation. Express your answer as r = 2y –x² = 2y– 3x

A: The objective is to convert cartesian equation to polar equation.

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

A: We are going to solve

Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: (b) Convert the polar equation, r – 6r cos(0) + 9 = 16 into rectangular (Cartesian) coordinates.

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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: Find the polar coordinates of a point with Cartesian coordinates (x, y) =

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Q: If a point has polar coordinates r=−3 and θ=3π4, what are the Cartesian coordinates of the point?

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Q: Find the Cartesian coordinates of the following points (given in polar coordinates). 2n h. 6/3,-

A: The general form of polar coordinate is (r, θ). So in this Question given polar coordinate is (63,…

Q: onvert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 0.)…

A: Explanation and solutions is given below.....