The polar coordinates of a point are (12, 5π/3). Determine the cartesian coordinates of the point

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

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 11 r= (Type…

A: Given  X = 11

Q: The polar coordinates (r,0) of the point whose rectangular coordinate is (1,-1) are

A: Given:           The coordinates (x,y) are (1, -1)

Q: Find the Cartesian coordinates of the point (given in polar coordinates). (-1, 7pi)

A: The polar coordinates are written in form of r,θ . It can be converted into cartesian coordinates as…

Q: Find the polar coordinates of a point with the following cartesian coordinates.

A: to find:- polar coordinate.

Q: Given the point (-6, *) in polar coordinates, what are the Cartesian coordinates of the point?

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Q: Replace the polar equation with equivalent Cartesian equations. Then describe or identify the graph.…

A: We have the given polar equation as rcosu=0                 ⋯⋯1 As we know that, the relationship…

Q: Plot the points with polar coordinates:(3, −π/2)

A: Given point is: (3, −π/2) Here r = 3 and θ=-π2

Q: Convert the polar equation to a Cartesian equation. Then use a Cartesian coordinate system to graph…

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Q: What are the polar coordinates of the point A shown below?

A: Given: Find the polar coordinates of the given point A on the circle   The polar coordinates of…

Q: The polar coordinates of a point are 8, Find the rectangular coordinates of this point.

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Q: Find the distance between the points with polar coordinates  (2, pi/3) and (8, 2pi/3)

A: Given,          The two polar coordinates are 2,π3 and 8,2π3.

Q: Find the Cartesian coordinates of the point (given in polar coordinates). (-3, 5pi/6)

A: r, θ=-3, 5π6. Cartesian coordinates are, x=rcosθ=-3cos5π6=-3-32=332 & y=rsinθ=-3sin5π6=-312=-32

Q: Find the polar equation of x = - y? and identify its graph.

A: Given, curve x = -y2To find the polar equation, we will replace x with rcosθ and y with rsinθ in the…

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

A: r = 2√2 cos θ We need to find Cartesian equations for the circles. Sketchthe circle in the…

Q: Convert the rectangular coordinates to polar coordinates with  r > 0 and 0 ≤ Theta < 2Pi.…

A: We have to convert

Q: Consider the point (8, (-300)°), in polar coordinates. Which of the following shows the location of…

A: given points : (8,(-300°))

Q: Convert the polar curve r=6cos(θ)+6sin(θ) to Cartesian coordinates. choose the correct ones from the…

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Q: Plot the point given in polar coordinates. (6, 5л)

A: rewrite 5pi as 4pi+pi

Q: (a) Rectangular coordinates of a point (x, y) may be recovered from its polar coordinates (r,θ)by…

A: We know, Polar coordinate (r,θ) and rectangular coordinate (x,y) are related as follows:…

Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (-sqrt2, 5pi/4)…

A: Given: ( -√2 , 5π/4 )  ( 1 , 5π/4 ) (4 , -7π/6 )

Q: Find the rectangular coordinates of the point that has polar coordinates (-4,5pi/4)

A: Given       -4,5π4

Q: Find the rectangular coordinates of the point that has polar coordinates 3, 3

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Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: Find the polar coordinates of the point with Cartesian coordinates (−2, 3)

A: topic-Cartesian coordinate to polar coordinate conversion

Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

Q: Find the Cartesian coordinates of the point (given in polar coordinates). (0, pi/2)

A: A point in polar coordinates is given by :- r, θ = 0,π2 Now, by using the polar to cartesian…

Q: Give four different pairs of coordinates for the point shown on the polar grid

A: The solution is :

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: 10- Rewrite the polar equation r=3sin(θ) as a Cartesian equation.

A: As per our guidelines we are supposed to answer only one question,  kindly repost the next question.…

Q: What equations would you use to find the polar coordinates of a point if you knew the Cartesian…

A: We know that, in polar coordinates system

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: Use a polar coordinate system to plot the point with the given polar coordinates (-1, 3π/2)

A: Use a polar coordinate system to plot the point with the given polar coordinates -1,3π2 Here r=-1 ,…

Q: Use a calculating utility, to approximate the polar coordinates of the points whose rectangular…

A: A)(x,y)=(3,4)r=x2+y2r=32+42r=25r=5θ=tan-1yxθ=tan-1(43)θ=53.13°B)(x,y)=(6,-8)r=x2+y2r=62+(-8)2r=100r=…

Q: plot the given polar points (r,theta) and find their rectangular representation  (5, - pi/2)

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Q: 2. Find the polar coordinates that correspond to the rectangular coordinates (5,5).

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Q: 3. The polar coordinates of a point are (14, 2.48). Determine the Cartesian coordinates for the…

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Q: If a point has polar coordinates r = -3 and 0 = 3" , what are the Cartesian coordinates of the…

A: Use the convargen from polar to Cartesian coordinate.

Q: Of a circle of radius "a" whose center is point (1,-1).Write the equation in Polar Coordinates.…

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Q: Use a calculating utility, to approximate the polar coordinates of the points whose rectangular…

A: This question is from calculus.

Q: Find an equation relating x and y to describe the points on the xy plane that satisfy the polar…

A: Here we have to convert polar equation in to Cartesian equation. For that we use the relationship…

Q: Find a polar coordinate (in the form (r, theta)) with a negative value for r that describes the…

A: Answer

Q: Find all polar coordinates of the origin.

A: We know that when we convert cartesian coordinates into polar coordinates, then we use the relation

Q: The polar coordinate system consists of a point, called the _____, and a ray extend-ing out from it,…

A: To determine: The missing word in the sentence, " The polar coordinate system consists of a point,…

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) =

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Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

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Q: Find the Cartesian coordinates for the polar coordinates (-3, 5pi/6)

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

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