1. (a) Convert the point whose polar coordinates are (8, 57/4) to rectangular coordinates. (b) Find two polar coordinate representations for the rectangular coordinate point (-6, 2V3), one with r>0 and one with r<0 and both with 0 sO< 2m.

Q: Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers in…

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Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one…

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Q: 4) Convert (4, 4) and y = x into polar coordinates, and convert (-2, 4) and r = sec 0 into Cartesian…

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Q: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…

A: We have to draw graph of given curve.

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: To sketch the graph using symmetry, zeros and maximum r-values: r=8 sinθ Let, r=8 sinθ. Symmetry:…

Q: Two points in the xy plane have Cartesian coordinates (2.00, -4.00) m and (-3.00, 3.00) m. Determine…

A: Distance between two points is given as:…

Q: 1. Two points in the polar coordinates systems given as; (2.00, 30°) m and (3.40, 45°) m. Determine;…

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Q: Q1: Find the polar coordinates of the Cartisian point P(-4,4)

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: Find a polar equation that has the same graph as the equation in x and y.y2 - x2 = 4

A: y2-x2=4

Q: Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers in…

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Q: Identify the conic section and graph the polar equation: r = 2/(1 - cos θ)

A: The given polar equation is r=21-cosθ Here, the given equation can be ellipse, parabola and…

Q: 1. Give two other polar coordinate representations of the point, one with r > 0 and the other with…

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Q: Determine two pairs of polar coordinates for the point with 0° <0 < 360. 20) (3, - 3)

A: Given query is to find the polar coordinates.

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: Ма Find the polar coordinates of the point whose rectangular coordinates are (-V3,3) and then show…

A: The given coordinate is  (x, y) = (-3,3)

Q: 5. Consider the point with rectangular coordinates (1, – V3 ). sState the coordinates of the point…

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Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions.

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Q: (b) Find two polar coordinate representations for the rectangular coordinate point (-6, 2/3), one…

A: Given data: The given coordinate is (x,y)=(-6, 2(3)1/2). The expression for the polar coordinate is,…

Q: 4. Consider the point with rectangular coordinates (-3, 3). State the coordinates of the point in…

A: Given: The point with rectangular coordinates (-3, 3). To state: The coordinates of the point in…

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table values to graph the function

Q: Q1 Find the polar coordinates of the Cartesian point (2,2)

A: We have to find the polar coordinates of the Cartesian point ( 2, 2 ).

Q: Work out the product of 2cos60° x 3cos30° in polar and rectangular form.

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table value to graph the function

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: ) Identify the conic section given by the polar equation r =

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Q: Express the Cartesian coordinates (-3/3,-3) in polar coordinates in at least two different ways.

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

A: The solution is :

Q: 4 4. a) Identify the conic section given by the polar equation and also determine 1-cos e its…

A: We convert the equation into rectangular form first This is a parabola.

Q: 4) The Cartesian coordinates for a point are (-1,-V3). Find polar co- ordinates (r, 6) for the point…

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Q: 2. Find two polar representations for the point having cartesian coordinates (6V3,6). One of your…

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Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: • Make your own artwork on symmetry • 1 artwork - symmetric with respect to 0 = ", (y – axis) | 2 •…

A: The solution is given below

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: 8. the same graph as the polar equation r-6cos0 =0 and graph on the xy plane. Find an equation in x…

A: The given polar equation is r-6cosθ=0 The equation in x and y is to be calculated and graphed in the…

Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

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Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: We have to sketch the graph of the polar equation using symmetry, zeros, maximum r- values, and any…

Q: Find polar coordinates of the point P (-2, -2v3).

A: We have to find the polar coordinates of the given point.

Q: 1. Convert the Cartesian coordinate (12,5) to polarcoordinate.

A: Given the cartesian co-ordinate(x,y)=(12,5)

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

A: Answer

Q: 2. Find polar coordinates of the point whose rectangular coordinates are (-5, -5).

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

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Q: 20. Find two polar coordinates representations for the rectangular coordinate point (-6, 2/3), one…

A: Given: -6,23

Q: 11. Find the rectangu lar coordin ates of a point whose polar coordinates are (4, 180).

A: Here we convert the rectangular coordinates into polar coordinates.

Q: 3) Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: r=3 sin 3θ.

Q: 1. A point is located in a polar coordinate system by the coordinatesr= 6.71 m and 0 = 26°. Find the…

A: Given data is: r=6.71 mθ=26∘ To find the x-coordinate and the y-coordinate.