Sketch the conic sections whose polar coordinate equations are given in Exercises 77–80. Give polar coordinates for the vertices and, in the case of ellipses, for the centers as well. 77. r = 2 1 + cos 0 78. r = 2 + cos 0 12 79. r = 80. r = 2 cos 0 3 + sin 0

Q: Sketch the conic section whose polar coordinate equation . Give polar coordinates for the vertices…

A: Since the given equation is already in the standard form of the polar equation of the conic section,…

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: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: hyperbola, vertices (±3, 0), foci (±6, 0)

A: Equation of hyperbola :x2a2 - y2b2 =1 , when vertices is on the x-axis.

Q: etermine which conic is the one whose general equation has only one term raised to the square, that…

A: Given:

Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

Q: Solve, a. Rewrite the equation 32x2 - 48xy + 18y2 - 15x - 20y = 0 in a rotated x′y′-system without…

A: Note: Since you have posted a question with mu Given : Given equation is  32x2 -48xy+18y2-15x-20y=0…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: The standard form of the parabola is: (y-k)2=4a(x-h) Where, Focus is at (a+h, k) Axis is at y = k…

Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: The standard form of the equation of the circle tangent to both axes at (−3, 0) and (0, 3)

Q: In  the given equation as follows , find a polar equation for the conic with its focus at the pole…

A: The given vertices implies that the directrix is horizontal and is below        the…

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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Q: Write polar equations that represent a conic with eccentricity e. For what values of e is the conic…

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Q: What conic does the polar equation r = 2/(1 + cos u) represent? Graph the conic

A: The given polar equation is Since, the cartesian coordinate(x,y) for the polar coordinate is given…

Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: Circle equation

Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: Write a step-by-step procedure on how to classify conic sections given their equation in general…

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Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: The equation of the conic is x2 + 10x -3y = -13.

Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

A:

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, ±2),…

A: follow the procedure given below.

Q: 3. How can you determine the type of conic section represented by an equation in general form?

A: the general form of the equation of conic sectionis Ax2+Bxy+Cy2+Dx+Ey+F=0

Q: Find the eccentricity and the distance from the pole to the directrix of the conic . r = 6 /(3 + 2…

A: Given,  r=63+2cosθ

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A:

Q: 5. Describe the conic section C whose equation is

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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: What is the relation of conic section to the wall clock?

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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: What are conic sections?

A: Our Aim is to define conic sections.

Q: Solve, a. Rewrite the equation 5x2 - 8xy + 5y2 - 9 = 0 in a rotated x′y′-system without an…

A: Given: The equation, 5x2-8xy+5y2-9=0.

Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Given, 2y2 + 4x + 8y = 0

Q: Find a set of parametric equations for the ellipse with vertices (4, 7), (4, –3) and foci (4,5),…

A: Given: 4,7,4,-3    and  foci  4,5,4,-1

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

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Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: An ant is walking around an ellipse (as seen below). The ant starts at the top and walks around in a…

A: Given: An ant is walking around an ellipse. The ant starts at the top and walks aroundin a clockwise…

Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1,…

A: Below are graph and input view.

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: What are conic sections. Explain it.

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

A: Given, 2xy+22x-1=0 Conic section general formula Ax2+Bxy+Cy2+Dx+Ey+F=0 B2-4AC>0→Hyperbola or 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: 11) Find the eccentricity, identify the conic, sketch the conic, labeling the vertices, foci,…

A: The given curve is: r=45-4sinθ                                   (1) The general equation of a conic…

Q: Deandre, an engineering intern was asked by his fellow students to heip them determine the standard…

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