Replace the Cartesian equation with an equivalent polar equation. x 2 - y 2 = 4

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

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Q: Rewrite the polar equation r = 5cos(@) as a Cartesian equation.

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Q: convert x=5y^2 to a polar equation

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Q: Replace the polar equation r = 8sin0 with the equivalent Cartesian equation. Show all work.

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Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: Convert the Cartesian Equation to a polar equation.  x2 + y2 = 3y

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Q: Replace the Cartesian equation x^2 +y^2 = 36 with an equivalent polar equation. Type the answer…

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Q: Convert the equation to polar coordinates. x² + y? = 25

A: Given: x2+y2=25 Convert the given equation to polar coordinates.

Q: convert the cartesian equation to a polar equation x2-y2=1

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Q: Convert the rectangular equation 3x - y = 6  to a polar equation that expresses r in terms of θ.

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Q: convert the cartesian equation to a polar equation x2+y2+2x-4y=0

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Q: Convert the rectangular equation to polar form z² + y? – 10 = 0

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Q: Convert the polar equation r = 3 csc θ to a rectangular equation in x and y.

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Q: Convert the following polar equation into a rectangular equation. r = 2sin0

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Q: Rewrite the Cartesian equation = 3 as a polar equation. r(8) =

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Q: Rewrite the Cartesian equation x 3 as a polar equation. r(0) =|

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Q: Replace the Cartesian equation xy =2 with the equivalent Polar equation.

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Q: Convert the given Cartesian equation into a polar equation. x2-y2=2x+3y

A: Given query is to convert Cartesian equation to polar equation.

Q: Convert the rectangular equation to polar form. xy=14

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Q: Convert the given Cartesian Equation x2 + y2 = 3x to a polar equation.

A: To convert the Cartesian equation in to polar equation.

Q: Which equation is the polar equivalent to the equation y = = -V3x? 3 3 5T 6. |I II

A: Explained below

Q: Rewrite the Cartesian equation y 2x2 as a polar equation. r(0) =| Enter theta for 0 if needed.…

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Q: Rewrite the Cartesian equation y = 5z² as a polar equation. r(@) - Enter theta for e if needed.

A: Given: y=5x2

Q: Convert the given Cartesian equation into a polar equation. 3y=4x2

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Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

Q: Replace the polar equation with equivalent Cartesian equations. (x - 3)^2 + (y + 1)^2 = 4

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Q: Replace the Cartesian equation y = 2x with an equivalent polar equation.

A: We can convert it as below

Q: Rewrite the Cartesian equation y=7x^2 as a polar equation.

A: We will use the formula:

Q: Convert the given polar equation into an equation in terms of Cartesian coordinates. ? =…

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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: Convert the rectangular equation x? + y? = -4y to a polar equation and solve for r.

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

A: To convert the polar equation into cartesian equation.

Q: Rewrite the Cartesian equation y=4x^2 as a polar equation. r(θ) =

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Q: Replace the Cartesian equation x=y with an equivalent polar equation

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

A: To convert Cartesian to polar simply put, x = rCosθ y = rSinθ  and simplify.

Q: 3. Convert the polar equation to a rectangular equation. r = 64

A: Given,             r = 64 We have to convert the polar equation to a rectangular equation.

Q: Replace the Cartesian equation (x – 3)² + (y+ 1)² = 4 with equivalent %3D The Polar equation

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Q: Convert the rectangular equation x + 5y = 8 to a polar equation that expresses r in terms of θ.

A: To convert rectangular equation to polar terms: substitute x=rcosθ,y=rsinθ  in the rectangular…

Q: Replace the polar equation r^2 =-2rcostheta by an equivalent Cartesian equation.

A: Given:- r2 = -2r cos(θ)  To find:-  Cartesian equation of given polar equation

Q: Replace the given Cartesian equation by equivalent polar equation (x + 2)² + (y – 5)² = 16.

A: The given equation in cartesian coordinate system is, x+22+y-52=16 In order to convert the given…

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: B. Rewrite the polar equation r = as a Cartesian equation. 1-2cos0

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Q: Which equation is the polar equivalent to the equation y =-z? O 0 = O 0 = O 0 =

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Q: Rewrite the Cartesian equation x=−4 as a polar equation. r(θ)=

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Q: Rewrite the Cartesian equation y 3x2 as a polar equation.

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Q: Replace the Cartesian equation with an equivalent polar equation. x? y? + 4 49

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Q: i = r(1 – r²)(4 – p²), Ô = 2 – r².

A: Given: r˙=r(1-r2)(4-r2) and θ˙=2-r2 To find: the cartesian coordinates.

Q: Plot the point that has the given polar coordinates. (-3, 1) A/2

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Q: Replace the polar equation with an equivalent Cartesian equation. r = -13 csc 0 A)-13x = 1

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