Write down the answer after converting the polar coordinates (-2, 4π/3) into the Cartesian coordinates.

Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

A: Given polar equation: 2r=2+cosθ·2r-1

Q: 5. Convert the polar equation to a rectangular equation. r = -2 sin 0

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Q: Give two other polar coordinate representations of the point, one with r 0. (r, 6) = (| (smaller…

A: given polar coordinates is (3,1) we know that r=x2+y2=32+12=10tan(θ)=yxtan(θ)=13θ=tan-113=18.4349

Q: Convert the Polar coordinate to the Cartesian coordinate. 1. r= 1+2r cose 2. r=1-cos8

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Q: Plot the point and give three other polar coordinates to describe: (1, -)

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Q: Express the Cartesian coordinate (1,3), as a polar coordinate.

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Q: convert this polar equation into a cartesian equation.   r = 6 / cos ( θ ) + 7 sin ( θ )

A: Given:   r = 6 / cos ( θ ) + 7 sin ( θ )          r( cosθ + 7 sinθ)  = 6  now , her  x= r cosθ  , y…

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

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Q: Transform the equation r = 6 cos θ from polar coordinates to rectangular coordinates

A: The formulae shown below shows the relationship between polar coordinates and rectangular…

Q: Rewrite the polar equation r = 6 cos(0) as a Cartesian equation.

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Q: Convert the point with Cartesian coordinates 2 r and 0, with r> 0 and 0 ≤ 0 < 2π in radians. (r, 0)…

A: Topic = Geometry

Q: Convert the given polar equation into a Cartesian equation. r=sinθ2cos2θ

A: By substituting sinθ = y/r and cosθ = x/r we get the required equation. Given, r=sinθ2cos2θ

Q: Convert x=6 into a polar equation

A: Convert x=6 into a polar equation

Q: Convert the Polar equation to a Cartesian equation and solve for y. r2 sin(0) cos(0) +r cos(0) = 2

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Q: 5. Convert the polar equation to rectangular equation of the form y = mx + b. Simplify your answer…

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Q: Express the polar coordinate (1,) as a Cartesian coordinate. 2.

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Q: Convert the polar equation to rectangular form. 4 r = - 1 - cos 0

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Q: Convert to polar coordinates with r 2 0 and 0 between 0° and 360°. (-2/3, 2)

A: Relation between Cartesian and Polar Coordinates: Let x, y and r, θ be cartesian and polar…

Q: Convert to polar coordinates with r ≥ 0 and 0° ≤ θ < 360°.                                (-4 , 4…

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Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation %3D

A: Given, The polar equation  r2sin2θ = 2    We have to write the equivalent cartesian equation.

Q: Find a polar equation for the line containing the origin that makes an angle of 30° with the…

A: Find a polar equation.

Q: convert the polar equation to a cartesian equation r=1/(sinθ-cosθ)

A: Consider the given:      r=1sinθ−cosθrsinθ−cosθ=1rsinθ−rcosθ=1Since,x=rsinθ             y=rcosθ,

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: 2. Convert the polar equation to rectangular form. Simplify your answer r2sec30 = r?tan?0 sec 0 –…

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Q: Convert to polar coordinates with 2 0 and 0 between 0° and 360°. (-2, 23)

A: Convert to polar coordinates with r≥0 and θ between 0° and 360°        -2,23

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Q: Replace the following polar equation by equivalent cartesian equation: r= 2 cos(theta) + 2…

A: See the attachment

Q: Convert the rectangular coordinates (3, -3V3) into polar form. Express the: using radians in terms…

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Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: The alternative polar coordinates that satisfies r 0 for

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

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Q: 4. Rewrite the equation y =x² as a polar equation

A: Given: y=x2

Q: Rewrite the polar equation r = 2 cos(0) as a Cartesian equation.

A: The given polar equation r=2cosθ to convert this into cartesian equation let us multiply r on both…

Q: Convert the regular equation to polar equation that expresses r as a function of theta. 3x-2y=6

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Q: convert the polar equation to a cartesian equation r2=sin2θ

A: givenr2=sin2θsince r2=x2+y2     and sinθ=yr, cosθ=xr,sin2θ=2sinθcosθreplace all these…

Q: Convert the polar equation to rectangular form. 4 r = 1 + sin 0

A: Convert the polar equation to rectangular form

Q: Plot the point that has the given polar coordinates. (3, =)

A: Notice that the point must be in the first quadrant as 3&gt;0 and sinπ4=π4=12&gt;0. Thus, the…

Q: Convert to polar coordinates with'20 and e between 0° and 360°. (2/3, - 2)

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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: Use the three steps to graph the polar equation: r = 2/(1 - sin θ)

A: Given information: r=21-sinθ

Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0 s 0< 27. ])-«

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Q: Convert the rectangular coordinates to polar coordinate in two ways: one with r>0 and one with r<0.…

A: The point given in the rectangular coordinate is (x,y)=(0,-6). Thus, we will have x=0, y=-6.

Q: Convert to polar coordinates with r 2 0 and 6 between 0° and 360°.

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Q: The polar coordinate for (1,1) are

A: We have to Convert to Polar Coordinates (1,1)   So Convert from rectangular…

Q: Convert the given polar equation into a Cartesian equation. r=2sinθ+7cosθ

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Q: Convert the rectangular coordinates (2, −2) to polar coordinates and find threeadditional polar…

A: Given: rectangular coordinates (2, −2)

Q: Convert the polar equation to rectangular form. r = 1 - cos 6

A: Find rectangular form

Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration