/ Discussion the relationship of between the polar and Cartesian coordinates with an example to convert each one to another ?

Q: A point in polar coordinates is given. Convert the point to rectangular coordinates. Round your…

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Q: The point (4,-4) is in rectangular coordinates. Plot this point and find TWO sets of polar…

A: Co-ordinate system: (x,y)=(4,-4) r=x2+y2tanθ=yx

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

A: To convert the polar coordinates into Cartesian coordinates, use the following formulae.

Q: The rectangular coordinates of a point are given. Find polar coordinates for the point. (2.1, - 3.9)…

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Q: The rectangular coordinates of a point are given (-√3, -1). Find polar coordinates of the point.…

A: Note that  (-√3, -1) is in the 3rd quadrant.  So,

Q: Given the rectangular equation, x^2+(y-2)^2 = 4, describe the graph (shape,size,location) and then…

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Q: For each pair of rectangular coordinates, (a) plot the point and (b) give two pairs of polar…

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Q: Convert the polar equation to a rectangular equation. 5. %3D 1- cos 0 Simplify the rectangular…

A: solution  y^2-10x-25=0

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

A: Solution:-

Q: Give three points that are equivalent to the polar point (5, 315°). Write the three points in polar…

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Q: Plot the point that has the given polar coordinates. (-2, - ) 4

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Q: Match the point -3,- in polar coordinates with either A, B, C, or D on the graph. Choose the correct…

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Q: Convert from polar to rectangular form. Give exact answers when possible.

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Q: Convert the point (-12,-5) into a polar coordinate.

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Q: What are polar coordinates? What equations relate polar coordi-nates to Cartesian coordinates? Why…

A: Consider an origin as O and an initial ray from the origin. The positive x-axis is usually…

Q: The rectangular coordinates of a point are given. Find the polar coordinates (r, 0) of this point…

A: I have appended the formula used in the solution part of the question

Q: Find the equation in polar coordinates of the line through the origin with slope 6. ep 1 of 2 Write…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A point is given in polar coordinates. Convert the point to rectangular coordinates. (6, ) Зл

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Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By…

Q: polar equations represents a cardiod or heart-shaped

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Q: Convert the point (−10, 30°) to rectangular coordinates. (x, y)  =               State two other…

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. A fly is…

A: The location of the fly in rectangular coordinates is 1.2,2.6. The polar coordinates of a point…

Q: Plot the point with the given polar coordinates. Then find all the polar coordinates of the point.…

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Q: Describe the graph of each polar equation. Confirm each description by converting into a rectangular…

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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: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

A: To convert rectangular coordinate into polar one.

Q: A point is given in polar coordinates. Convert the point to rectangular coordinates. (6,) (х, у) -

A: We will use the formula

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

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Q: Explain how to convert a point from polar to rectangular coordinates. Provide an example with your…

A: Consider A is any point and let the coordinates of point A in the polar form are Ar, θ and its…

Q: A point is graphed in polar form. Find its rectangular coordinates. (х, у) - Sa

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

A: In polar coordinates we have: x=r cos(θ)   and   y=r sin(θ)    ⇒    θ=tan-1yx

Q: The rectangular coordinates of a point are given. Find polar coordinates for the point. (5,-5)

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Q: There are many ways to express an ordered pair using polar coordinates. What is is not an accurate…

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Q: 4) Compare your answers of the previous questions, do a comparison summary about polar coordinate,…

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Q: The rectangular coordinates of a point are given (0, -6). Find polar coordinates of the point.…

A: Given: 0,-6

Q: When converting a point from polar coordinates to rectangular coordinates, there are infinitely many…

A: we know that when we convert a point form polar coordinates to rectangular coordinates, there is…

Q: A point is given in polar coordinates. Convert the point to rectangular coordinates. (8, ) (х, у) -

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Q: Convert the point (-4.1, 4.1) from Cartesian to Polar coordinates. What is the 0-coordinate (in…

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Q: Convert the polar equation r cos θ = -1 to a rectangular equation. Then use your knowledge of the…

A: Polar to rectangular:  Polar equation r cos θ = -1  Here we know, x=r cos θy=r sin θTherefore, the…

Q: 1.Plot the point given in polar coordinates. 2. Find these additional polar representations of the…

A: Solution of (1): Plotting of the point A(-9, 2π/3) in polar coordinates is shown in red color in…

Q: A point is graphed in polar form. Find its rectangular coordinates.

A: Coordinate of S in Polar form,2, 5π6⇒ x = 2 cos 5π6 = -3     y = 2 sin 5π6 = 1

Q: a) Convert the point whose polar coordinates are (8, 3π/4) to rectangular coordinates. (x, y) =…

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Q: Consider the point (4, 1) in polar coordinates. What is the sum of its rectangular coordinates? (two…

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Q: For each pair of rectangular coordinates, (a) plot the point and (b) give two pairs of polar…

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Q: The rectangular coordinates of a point are given (2, -2). Find polar coordinates of the point.…

A: Let the given rectangular coordinates be (x, y).Then,(x, y) = 2, -2Let polar coordinates be = r,…

Q: The rectangular coordinates of a point are given. Find polar coordinates for the point.  (1.5,…

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