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

Q: Evaluate e-y dy da by converting to polar coordinates.

A: Given: ∫-22∫04-x2e-x2-y2dydx We want to evaluate above integral by using polar coordinates

Q: Convert the given Cartesian equation to a polar equation. x² + y? = 6•y In polar this equation is

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

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

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Q: convert to an equation in polar coordinates of the form r = f (θ ).  y = x 2

A: Given: y=x2 We have the cartesian form y=fx=x2 To convert the given equation in the polar form, Now…

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 = 26r cos θ - 6r sin θ - 9

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

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Q: convert the polar equation to a cartesian equation rcos(θ+(π/6))=1

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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: 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 following rectangular equation into a polar equation. x^2 + y^2 = 2x

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Q: Convert the rectangular equation 3x − y + 2 = 0 to polar form and sketch its gr

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Q: Convert the rectangular equation x2 + y2 = 16 to a polar equation that expresses r in terms of θ.

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Q: Convert the rectangular equation x2 = 6y to a polar equation that expresses r in terms of θ.

A: The given equation is:

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

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Q: Convert y=x*Sqrt(3) into a polar equation

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Q: rewrite the cartesian equation y=5x2   as a polar equation. r(theta)=

A: WE DRAW THE GRAPH

Q: Convert the rectangular equation x2 + y2 = 9 to a polar equation that expresses r in terms of θ.

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Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

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

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

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

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

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Q: Convert the rectangular equation 3x + y = 7 to a polar equation that expresses r in terms of θ.

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Q: The equation x + y = 7 can be converted to a polar equation by replacing x with replacing y with and

A: The equation x+y=7 To convert it into polar co-ordinates

Q: x² – y = x

A: Explained below

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

A: We can convert it as below

Q: snip

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Q: Write the rectangular equation y = 3x + 2 as a polar equation of r in terms of 0.

A: Since you have asked multiple questions, we will solve the first question for you . use the formula…

Q: Convert the rectangular equation x = y^2 to an equivalent polar equation r = f(theta).

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

A: Given:y=3

Q: convert to an equation in polar coordinates of the form r = f (θ). y = x2

A: Given curve is: Using the relation between Cartesian and Polar coordinates:

Q: rert the rectangular equation y = x+ 2 to a polar equation and solve for r.

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Q: Convert the polar equation to rectangular form. r = 5 cos θ

A: Refer to the question we need to convert the polar equation to rectangular form.

Q: Convert the rectangular equation to polar form. Assume a > 0. x2 + y2 – 8ax = 0

A: Given rectangular equationx2+y2- 8ax = 0we have to convert it into the polar form

Q: Convert the rectangular equation x2 + y2 = 100 to a polar equation that expresses r in terms of θ.

A: Convert the rectangular equation x2 + y2 = 100 to a polar equation that expresses r in terms of θ.

Q: Transform the polar equation T - 6 csc 0 to an equation in I and y.

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

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

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

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Q: Convert the rectangular equation to a polar equation. Express r in terms of 0. 4x + y = 8

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

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Q: Replace the Cartesian equation with an equivalent polar equation. xy = 1

A: Consider the equation  xy=1

Q: Convert the rectangular equation x2 + (y+3)2 = 9 to a polar equation that expresses r in terms of θ.

A: Given equation x2 + (y+3)2 = 9 The "x" variable in a rectangular equation is expressed as "r"…

Q: Convert rectangular equation (x + 1)2 + y2 = 1 to a polar equation that expresses r in terms of θ.

A: From the given data: