|(0, 23) (-48, 0) (48, 0)

Q: In  the equation as given follows  , find the center, foci, vertices, and eccentricity of the…

A: The standard form of an equation of an ellipse is given by (x-h)2b2+(y-k)2a2=1, where a>b and the…

Q: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 4x?…

A: Since multiple questions are asked, I am answering only first 3 subparts.

Q: In the given equation as follows , classify the graph of the equation as a circle, a parabola, an…

A:

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: Ferris Wheel The High Roller observation wheel inLas Vegas has a maximum height of 550 feet and a…

A: It is given in the question that the maximum height of the wheel is 550 feet and  the diameter of…

Q: 5. What is the length of the major axis of ellipse given by the equation *+ =1? 144 18 units 12…

A:

Q: Given: Foci: (2,1) (10,1) c = 4 a=? b=? Center: (6,1) Find the standard form of the ellipse

A:

Q: suppose that the bulb of a flashlight is placed at the focus of its parabolic reflector. if the…

A:

Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

A:

Q: Identify a and b for the hyperbola with equation a? y? = 1. 62

A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

Q: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 16x2…

A:

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: We know that standard position the equations of quadratic surfaces, Ellipsoid: x2a2+y2b2+z2c2=1…

Q: The equation of the red ellipse in the figure shown is x? y? =1. 25 9 Write the equation for each…

A: For horizontal ellipse with center origin (0, 0), the general form is: x2a2+y2b2=1 Where a…

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: A horizontal bridge is in the shape of a parabolic arch.Given the information shown in the figure,…

A: A horizontal bridge is in the shape of a parabolic arch. Given the information shown in the figure…

Q: c) Find the center and radius of the sphere whose equation is

A: Given, we need to evaluate the norm of the following vectors. i=<-1,2,4>ii=-i+7j

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 8…

A: Since, it is given that the reflector of the flashlight has the shape of parabola.Suppose the…

Q: 24. If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the…

A:

Q: An engineer is designing a flash light using a parabolic reflecting mirror and a light source, shown…

A: Provided figure is Diameter=2x=4 ⇒ x=2 Depth=y=2

Q: The elliptical ceiling in Statuary Hall in the U.S. Capitol Building is 96 feet long and 23 feet…

A: Given that: Elliptical ceiling in Statuary Hall in the U.S. Capitol Building is 96 feet long and 23…

Q: Solve the following problems. Write your answer and solution on the box provided. 1. Given the…

A:

Q: 14.) Find the center, foci, vertices, and eccentricity of the ellipse, and sketch the graph of (x –…

A:

Q: 26. The area of the largest triangle that can fit in an ellipse with the major and minor axes of 9…

A:

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+10, 0), length of…

A: The foci of the hyperbola are ±10,0 and the length of the transverse axis is 16. The objective of…

Q: Find the eccentricity and equation of the ellipse if the length of the latus rectum is…

A: Let the length of major axis of the ellipse be = 2a The length of minor axis of the ellipse be = 2b…

Q: An elliptical garden is surrounded by stone walkway as shown below. Find the equation of the ellipse…

A:

Q: Find the eccentricity of the ellipse described by the equation 2/2 3 3 O None of these.

A:

Q: The elliptical ceiling of a building is 54 ft long and 13 ft tall. Use the rectangular coordinate…

A: the standard equation of the ellipse is given by  x-h2a2+y-k2b2=1 here center of the ellipse is…

Q: Given an equation of an ellipse, solve for the following values. 16x? + 25y? – 64x + 150y = 111 a.…

A:

Q: 2. A parabolic antenna has a width across the top of 36 inches and the depth at the center is 6…

A:

Q: find the equation of the given ellipse. Foci (0,±10) and eccentricity e = 3/5

A:

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

A:

Q: The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its…

A: The given dimensions are, 46 feet wide by 96 feet long as shown in Figure. Here, 96/2 = 48 and 46/2…

Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

A: Consider the given figure. y=ax-h2+k The base of the figure is 50 feet. So, the right side is…

Q: Find a Cartesian equation for the curve and identify it as an ellipse, circle, limAson, parabola, or…

A: Cartesian equation for the curve is r = 3 cos(θ) Now x = r cos(θ)   ……(1)

Q: What is the opening, focus, directrix, axis of symmetry, and endpoints of the latus rectum of the…

A:

Q: 2. A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood.…

A:

Q: An equilateral hyperbola has an equation of x² – y² = 9. Compute the eccentricity of the equilateral…

A:

Q: Given the ellipse below, determine the direction of the major axis and its length. y? 1 100 4…

A:

Q: The orbit of a satellite revolving around a planet is an ellipse with the center of the planet as…

A: The standard equation of ellipse is x2a2+y2b2=1. In the above equation, a is the half-length of…

Q: Given this equation for an ellipse, 9x + 4y? 36x + 24y + 36 = 0 change it to standard form. %3D |…

A: we know that the general equation of circle will be x^2+y^2+2gx+2fy+c=0 that is 2g=-36 g=-18 2f=14…

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source, shown…

A: Given that, The casting has a depth of 2 inches that is y = 2 in. And the casting has a diameter of…

Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

A:

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

A:

Q: Get a piece of bond paper and wrapped around a cylindrical bottle, and then use a compass to draw a…

A: Consider the given information. A piece of paper is wrapped around a cylindrical bottle, and then a…

Q: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 25x2…

A: Given equation is 25x2+y2=900. First of all we will find the coordinate of the center. Rewrite…

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.