find a polynomial equation in Cartesian coordinates whose graph that contains that of the equation given in polar coordinates.

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

A: we know that the polar equation  x=rcos(theeta) that is r=x/cos(theeta)

Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

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Q: Find a polar form of the equation. x2 - y2 = 36

A: Given equation, x2-y2=36

Q: Write the equation in polar coordinates. Then isolate the variable r when possible. x2 + y2 = 9x

A: To convert into polar coordinates

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

A: We can solve the given problem using concept of polar coordinates system.

Q: Find a polar equation that has the same graph as the parabola x² = 8(2 – y) %3D

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Q: Find polar equations for the circles. Sketch eachcircle in the coordinate plane and label it with…

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Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

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Q: Find an equation in polar coordinates of the line y = 2x- 4 Note: use "t" for &

A: On solving this we will get

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: Sketch the graph of the polar equation.r = -3 sec θ

A: r=-3secθ

Q: Find a polar equation that has the same graph as the equation in x and y.x2 + y2 = 16

A: The polar coordinates of a point are given by x=rcosθ,y=rsinθ. For a circle with equation x2+y2=R2…

Q: 20 Drag each pair of coordinates to the correct location on the image. Match each pair of polar…

A: topic - polar coordinate system

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

A: If x, y are the rectangular coordinates and r, θ are the polar coordinates, then the relation…

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

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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: 3. Find the polar form of the Cartesian equation: x² + y² = (3 + 2x)² %3D

A: Solution-

Q: Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.

A: We need to sketch the graphs of (a) r = 1 and (b) θ = π /4 in polar coordinates.

Q: An equation whose variables are polar coordinates is called a(n)...............…

A: given,        An equation whose variables are polar coordinates is called a(n). . . . . . . . .…

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

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Q: Convert the equation to polar coordinates. (x2 + y2)2 = 2xy       Sketch the graph.

A: Given, The equation in rectangular coordinates,                                 (x2 + y2)2 = 2xy

Q: Find a polynomial equation in cartesian coordinates whose graph that contains that of the equation…

A: Answer is mentioned below

Q: Find (-1+ i)"and write the answer in exact polar form and rectangular form.

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Q: find an equation in polar coordinates of the line L with the given description. The point on L…

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Q: The larger circle in the figure is the graph of r = 1. Find the polar equation of the smaller circle…

A: From Pythagoras Theorem AB⇒r=r12          1=r12          r1=12 Let radius…

Q: a) If you are looking at an example equation, how do you know the equation in polar form or…

A: The relation between polar coordinates and rectangular coordinates are, x=rcosθy=rsinθ

Q: Q/A-Find the rectingutur coordinates of the point whose polar coordinates are (2,2π/ 3) B-Find the…

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Q: Use a graphing utility to graph the polar equation when (a) e = 1, (b) e = 0.5, and (c) e = 1.5.…

A: Given polar equation is r=2e1-esinθ (a)When  e=1 then conic will be parabola. Graph of the parabola…

Q: Sketch a graph of the polar equation r = 6

A: Relation between polar coordinates and rectangular coordinates. r2=x2+y2We have r=662=x2+y236=x2+y2…

Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

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Q: Find a polar form of the equation. x² + y² = 4

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Q: 1-2 Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates…

A: To fid the coordinates similar to a given polar coordinate we can use following formula…

Q: Find all solutions to equation Express your answer(s) in polar form. -1 + i -√2 + √2i

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Q: Write the equation x = -5y^2 in polar coordinates and state values of theta that produce the entire…

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Q: Transform the following equation expressed in polar coordinates to the corresponding equation in…

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Q: Find a polar equation thet has the same graph as the parabola x^2=8(2-y)

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Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

A: given (A) 5,3π/2

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: Plot the point -4,- given in polar coordinates, and find other polar coordinates (r,0) of the point…

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

A: For this point ( 4, 11π/6) where radius "r" = 4  and  angle " theta" = 11 π/6

Q: Find the intercepts and the symmetry for the polar equation r = 1+ sine.

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Find a polar form of the equation. x2 + y2 = 36 %3D ア=-6,6 Submit Answer

A: The given equation is x2+y2=36To find its polar form of equation

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

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Q: Find a polar form of the equation. x² + y2 = 49

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