r = 2– sin(0)"

Q: Find a set of parametric equations for the conic section or the line. Circle: Center:(5,3); Radius:2

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

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Q: Find the parametric equations for the ellipse y2 + 4x2 - 2y + 4x + 1 = 0. Hint: Use completing the…

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Q: What is the relation of the conic section to the vase?

A: Let's find.

Q: How does the eccentricity determine the type of conic section?

A: If e=0 then the conic is a circle. If e=1 then the conic is a parabola

Q: find the eccentricity, identify the conic, give an equation of the directrix and sketch the graph of…

A: Solution is given below:

Q: Write a polar equation for a conic having focus at the origin, directrix y = - 2, and eccentricity e…

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Q: Graph the line and conic section. r = 1/(1 + 2 sin u)

A: Use the formula: x=rcos (u), y=rsin (u), x2+y2=r2   r (1 + 2 sin(u)) = 1r + 2r sin(u) = 1   Thus…

Q: Identify the conic section that the polar equation represents. Describe the location of a directrix…

A: Given the polar equation

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

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Q: Use the parametric equations of an ellipse, x = a cos 0, y = b sin 0, 0 < 0 < 2m, to find the area…

A: Given Parametric Equation of ellipse  x=acosθ and y=bsinθ ,0≤θ≤2π To find the area of the Ellipse

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

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Q: The ellipse + 1 can be drawn with parametric equations where (t) is written in the form 4²2 r(t) = r…

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Q: Write the name of the conics giver by poloar curve r=6/(2+sin(t)) a) Determine the vertices in the…

A: We need to write the name of the conics given by the polar curve r=6/(2+sin(t)). Also, we need to…

Q: Find the standard form of the equation of the conic section satisfying the given conditions:…

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Q: Write the name of the conics given by polar curve r=6/(2+sin(t)) a) Determine the equation of the…

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Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: Given focus is (-2,6) and the directrix is x=8.

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

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Q: Use the parametric equations of an ellipse, x = 5 cos(0), y = 4 sin(0), 0 < 0< 2n, to find the area…

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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: 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: Find a polar equation of the conic in terms of r with its focus at the pole. Eccentricity e = 5/6…

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Q: Find the constants a,b,c for the conic r = 120 5+ sin 0 Sketch the conic.

A: As per the question we are given the polar form of a conic, and from that we have to find the…

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

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

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Q: Find a polar equation of the conic in terms of r with its focus at the pole. Conic Parabola Vertex…

A: Here, the given vertex of the parabola is (12, π/2). As θ = π/2, the vertex is on the Y axis. The…

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

A: Given: x225+y24=1   By comapring given equation with general form (x-h)2a2+(y-k)2b2=1h=0 and k=0…

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

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Q: Find the type of conic represented by the equation of the curve given by C=21 - 6xy+29y +6x-…

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

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Q: find the polar equation of the conic with the given eccentricity and directrix, and focusat the…

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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: Identify the conic and write its equation in rectangular coordinates: r 2 - 2 cos 0

A: r=12-2cosθ⇒r=121-cosθ⇒r=121-cosθ Comparing with r=ep1-ecosθ, we get e=1&amp;ep=12⇒1p=12⇒p=12 Since…

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: Find a polar equation for the conic Hyperbola with its focus at the pole and the eccentricity e =…

A: We have:  eccentricity e = 52 directrix x = -1 distance between the focus (pole) and the directrix =…

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

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Q: Eliminate the parameter to relate the variables directly in the parametric set of equations and…

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Q: Use the parametric equations of an ellipse, x a cos(0), y = b sin(0), 0 seS 2n, to find the area…

A: Given that the parametric equation of an ellipse is  x= a cos(θ) , y=b sin(θ) , 0≤ θ ≤ 2π . Here we…

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

A: r=93+2cosθ  Rearranging this, we get  r=931+23cosθ    r=31+23cosθ