Exercises 19–22 give the eccentricities of conic sections with one fo- cus at the origin of the polar coordinate plane, along with the directrix for that focus. Find a polar equation for each conic section. 19. e = 2, r cos 0 = 2 21. e = 1/2, r sin 0 = 2 20. e = 1, r cos 0 = -4 22. e = 1/3, r sin 0 = -6

Q: Find an equation for the conic that sa tisfies the given conditions. parabola, focus (-4, 0),…

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Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

A: e=1/2, x=1

Q: Find a polar equation of the conic with its focus at the pol Conic: Parabola, Vertex or vertices:…

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Q: Let the equation of the conic r = 2/( 1 − cos(θ))

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Q: find and sketch The polar equation for conic section with eccentricity(e=1) and with one of the…

A: See the explanation below

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: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

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Q: Trace the conic section 17x 12xy + 8y + 46x – 28y + 17 = 0 and find all of its properties. Also…

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Q: Show that a conic with focus at the origin, eccentricity ,and directrix y=-d  has polar equation r…

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Q: 6. What is the eccentricity of the hyperbola whose equation is given by r = 2+3 cos 0 Enter your…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. parabola,…

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Q: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given, The equation is 6x2 - 4xy + 9y2 -20x -10y - 5 = 0.

Q: Find a polar equation of the conic with its focus at the pole. Conic: Ellipse, Eccentricity: e =…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) Without converting…

A: b) Hint: The general form of a polar curve is r=ep1±esinθ,where e is the eccentricity, p is any…

Q: Question 29 3 pts Determine the distance between the foci of the following conic section: 16x2 + 9y?…

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Q: Given a pair of parametric equations x = 2 cos(t) – 4 and y = 3+ 3 sin(t). i. Eliminate the…

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Q: r = 2– sin(0)"

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r = Without…

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Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

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Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

A: Given: The eccentricities of conic sections with one focus at the origin along with the directrix…

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

A: The eccentricity of a conic section is a deviation of the curve from the circularity. In simple…

Q: Name the conic that has the given properties and find its Cartesian equation. Eccentricity 1,…

A: A conic section is obtained by slicing the cones at different angles. There are three types of…

Q: Find a polar equation of the indicated conic in terms of r with the given characteristics and focus…

A: To find - Find a polar equation of the indicated conic in terms of r with the given characteristics…

Q: The ellipse 32 = 1 can be drawn with parametric equations where x(t) is written in the form 72 x(t)…

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Q: Find the eccentricity and directrix of the conic and graph the conic and its 1-2sin 0 directrix. If…

A: Since you have asked only part B

Q: Show that a conic with focus at the origin, eccentricity e ,and directrix x = - d has polar…

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Q: If you are given the standard form of the polar equation of a conic, how do you determine its…

A: For a conic with a focus at the origin, if the directrix is x=±p, where p is a positive real number,…

Q: Find an equation in rectangular coordinates of the conic r = 16/5 + 3 cos θ

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Q: Identify the conic with a focus at the origin, and then give the directrix and eccentricity. (Use…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) r= Without converting into…

A: We have to solve given problems:

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

A: Problem 1:Recall the following fact.

Q: Find a polar equation of the coni with a focus at the pole, eccentricity e = and the directrix =…

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Q: 10. What will be the coordinates of point T after a 180* rotation about the origin?

A: Given coordinates of RSTU R (2,5) S (7,7) T (6,4) U (1,2)

Q: Identify the conic with the given equa­tion and give its equation in standard form…

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Q: What does the eccentricity reveals about the conic?

A: We have to define what eccentricity reveals about the conic

Q: Find parametric equations for an object moving clockwise along the ellipse 25 =1 beginning at (0,2)…

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Q: Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity…

A: let d be positive, a directrix x = d, and focus is at the origin.

Q: Identify the conic section that appears in the drawing of a wooden pencil in the figure.

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Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

A: 1)Given,e = 1, y = 2 Equation of conic with eccentricity e and directrix y=k corresponding to focus…

Q: Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity…

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Q: Write a polar equation for a conic having focus at the origin, directrix = 5, and eccentricity e =…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r= (a) Without converting into…

A: GIVEN EQUATION r=41-sinθ (a) without converting into cartesian form , identify the conic section…

Q: The paint Pla cose,b sine) lies on the ellipre at %3D where a and b are semi- major and semi -minor…

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Q: Find and sketch the polar equation for conic section with eccentricity (e = 1) and with one of the…

A: Equation of conic with eccentricity e=1 is a parabola  focus =(0,0) directrix y=-1 (0.-1) vertex…

Q: give the eccentricities of conic sections with onefocus at the origin along with the directrix…

A: e=1  &  y=2 Now directrix is, y=p⇒p=2

Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r Without…

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Q: (a) What is the eccentricity of a conic section?

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Q: What is the image of the point (1,8) after a rotation of 180° counterclockwise about the origin?…

A: topic - rotation of a point 180 ° counterclockwise rotation of a point will produce a image with…