Find the polar equation of the elliptical orbit of the planet Saturn and the perihelion a = 1.434 × 109 kilometers and aphelion e = 0.0565 distances

Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/1 + 4 cos θ

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

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

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Q: 19. Graph (4, 4T/3) on the attached polar grid. Then find the Cartesian coordinates of the point…

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

A: to find:- polar coordinate.

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. 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: Cannot solve

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Q: Convert the rectangular equation xy = 4 to polar form and sketch its graph.

A: Given rectangular equation xy=4 →1For polar form , we havex=r cos θ , y= r sin θ

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

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Q: Find a polar equation that has the same graph as the equation in x and y.y2 = 6x

A: Given,                equation -: y2=6xThe relation between polar coordinates (r,θ)and certesian…

Q: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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Q: Identify the conic the polar equation represents and give the position of the directrix. 1 1-sin 0…

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Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

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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: Write a polar equation for a conic having focus at the origin, directrix æ = 3, and eccentricity e =…

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Q: Find a polar equation for the curve represented by the Cartesian equation: x^2 - y^2 = 4

A: The Cartesian equation for the variables x and y are,

Q: Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of…

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Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

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: Give the eccentricities of conic sections with one focus at the origin of the polar coordinate…

A: Solution:- Eccentricities of conic is, e=1 Directrix is  r cos u=-4 That is, x=-4 Now polar…

Q: Find an approximate polar equation for the ellipticalorbit of the earth around the sun (at one…

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Q: Identify the conic that the following polar equation represents. 5 r = 10 + 5 sin 0 Select the…

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Q: Find a polar equation that has the same graph as the equation in x and y.xy = 8

A: we have to find a polar equation that has the same graph as the equation in x and y. xy=8

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: 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: - The polar curve r= 5sin e has the eccentricity

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

A: To convert the rectangular coordinates to polar coordinates, substitute x with r cosθ and y with r…

Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

A: Topic-polar equation

Q: identify the type of conic, the eccentricity, and the equation of the directrix.  r = 12/4 + 3 cos θ

A: To find: The type of conic, the eccentricity, and the equation of the directrix. Given information:…

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

A: Cartesian (x, y) to polar r, θ coordinates: x=rcosθy=rsinθ

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

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Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

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Q: identify the type of conic, the eccentricity, and the equation of the directrix.  r = 8/4 + cos θ

A: Given: r = 84 + cos θ To identify: The type of conic, the eccentricity, and the equation of the…

Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…

Q: 11. Write a polar equation of a conic with the focus at the origin given the following:…

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Q: Consider the polar equation of a conic. Determine the eccentricity. -5 r = 1 + cos(0) e =

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Q: Find a polar equation for the curve represented by the given Cartesian equation. ху %3D 1

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Q: 3. The earth moves in an elliptic orbit about the sun, with the sun at one focus. The least and…

A: Question is solved.

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

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Q: Use the polar equation for planetary orbits, (1 – e²)a r = e cos 0' to find the polar equation of…

A: Consider the equation: r=1-e2a1-e cos θ   Given: Mercury: e=0.2056  and a=36×106…

Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given: The function is given as ? = ?/?+?????

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

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

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Q: Find all the polar coordinates of the point P(2, π/6).

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Q: Find a polar equation that has the same graph as the equation in x and y.y = 2

A: To convert the given equation to polar form: y=2 Solution: We know rectangular coordinates (x,y) and…

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

A: Given:  x2 + y2 + 4x = 0

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

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Q: Find the polar equation of the elliptical orbit of the planet Neptune and the perihelion a = 4.495 ×…

A: The formula of the polar equation of the elliptical orbit is, r=1-e2a1-ecosθ where a is major axis…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.