Find an equation for the ellipse. Graph the equation. foci at (0, 15); x-intercepts are ±4 Type the left side of the equation of the ellipse. D=1 Which graph shown below is the graph of the ellipse? O A. OB. Oc. OD.

Find an equation for the ellipse. Graph the equation. foci at (0, 15); x-intercepts are ±4 Type the left side of the equation of the ellipse. D=1 Which graph shown below is the graph of the ellipse? O A. OB. Oc. OD.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.2: Ellipses

Problem 2E: The graph of the equation x2a2+y2b2=1 with a >b > 0 is an ellipse with vertices ( __, __ ) and ( __,...

See similar textbooks

Related questions

Q: Find the equation of an ellipse satisfying the given conditions. Foci: (-2, 0) and (2, 0); length of…

Q: Find an equation of the ellipse (in general form) given the following conditions: a. The sum of the…

Q: A whispering chamber is an elliptically arched chamber. A unique feature of a whispering chamber is…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions.…

A: Given : vertically oriented ellipse as foci is (0, -7) and (0, 7) To find : Equation if ellipse

Q: Y The following ellipse represented by X

A: Given: Ellipse is given we have to represent the equation.

Q: Find an equation for the ellipse whose graph is shown. y 0 (10,5) 15 X

A: Consider the ellipse Consider the graph

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Consider the given figure: It is an ellipse with center origin.

Q: Write an equation for the ellipse. Ay 2,3) X ..... Type the left side of the equation in the box…

Q: the ellipse with 4) Write the the center at (o,o), the vertex at Cos-5) and the distance between the…

A: Given center at (0,0), vertex at (0,-5) the distance between focus and vertex is equal to 2 ⇒focus…

Q: Find the equation of the ellipse. Then find its foci. 1. 2.

A: Given:

Q: Find an equation of the ellipse. Then find its foci.

A: From the graph, The length of the semi-major axis, b = 3 The length of the semi-minor axis, a = 2…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(±√15, 0), vertices:…

A: The general equation of an ellipse with its major axis parallel to x-axis is given as x2a2+y2b2=1 .…

Q: x? Let 25 y? 1 then find the end points of the minor and major axis for the graph of this ellipse.

Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1 the…

Q: Find the standard form of the equation of an ellipse with the given characteristics. 1. Foci: (-4.…

A: Given- Focii of the ellipse are 4,0 and -4,0. To Find- The standard form of the ellipse. Identity…

Q: Graph the ellipse and give the location of its foci.

A: Consider the provided ellipse, x225+y-2236=1 Graph the ellipse and give the location of its foci. We…

Q: Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse,…

A: Given: y=111-x249

Q: Find an equation for the ellipse whose graph is shown. y X

Q: 3. Write the equation of the ellipse plotted below. What are its foci, F, and F2. Show your…

Q: _0. For the ellipse = 1, the value of a is the value of b is and the major axis is the -axis.

Q: d an equation for the ellipse that satisfies the given conditions. Eccentricity: foci: (0, ±5)

A: We have to write the equation of ellipse from the given condition

Q: Find an equation for the ellipse. Center at (2,3); a = 5, c= 3; major axis vertical The equation for…

Q: Find the standard form of the equation of the ellipse and give the location of its foci. 2) T0 ex:…

A: The given graph is,

Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

Q: Find an equation of the ellipse with vertices (+4, 0) and foci (+2,0). y2 A) 16 12 y2 B 12 16 D %3D

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

Q: Write an equation for the ellipse. Type the left side of the equation in the box below.

A: The objective is to write an equation for the ellipse.

Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Find the standard form for the equation, center, vertices and foci of the ellipse. Then sketch the…

Q: Sketch the graph of the ellipse and write the foci in correct (x, y) form. Show all work. (x-4)²…

A: The given equation of the ellipse is: x-424+y225=1 We have to sketch the graph and write the foci in…

Q: Graph the ellipse and give the location of its foci.

A: Given equation of ellipse is: The graph is as follows:

Q: Consider the following equation of an ellipse. (x 4)2 (y – 4)2 25 Step 3 of 3: Find the coordinates…

Q: Determine if 9x + 25y = 1 is an ellipse. %3D Ellipse Not an Ellipse (y – k)? If it is an ellipse,…

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. (x-3)² (+1)²…

A: solution is given below

Q: Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse,…

A: Given equation is x=4525-y2

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +V20), vertices:…

Q: Find the equation of the ellipse with the following properties. The ellipse with foci at (4, 0) and…

Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,4);…

Q: Graph the ellipse. Give the location of the foci.

A: Consider the equation of the ellipse: x-2216+y+1225=1. The equation of ellipse x-h2a2+y-k2b2=1 has…

Q: Enter the amounts a? and b2 into the equation below so that the ellipse it describes matches the…

A: Explanation of the answer is as follows

Q: Graph the ellipse and locate the foci. + = 1 4 25 Choose the correct graph below. O A. O B. OC. Ay O…

A: It is given that, x24+y225=1 Compare the equation with the general equation of ellipse,…

Q: Find an equation of the ellipse (in general form) given the following conditions: Foci 3 units left…

Q: Graph the ellipse and give the location of its foci.

A: Given: (x+2)216+(y−3)2=1

Q: Graph the ellipse and give the location of its foci.

A: x+329+y-22=1⇒x--3232+y-2212=1 Now comparing with x-h2a2+y-k2b2=1, we get h=-3, k=2, a=3 &…

Q: Find an equation for the ellipse. Graph the equation. foci at (0, ±3); length of major axis is 16

A: Here the foci is given as (0,3) and (0,—3) so we can say that the major axis of the ellipse will lie…

Q: Write an equation for the ellipse. |(5,0) ..... Type the left side of the equation in the box below.

Q: Q1/ give equations of ellipses. Put each equation in stan- dard form and sketch the ellipse. 9x +…

Q: The equation of the major axis of the shown ellipse is Select one: O a.x 0 Ob.x=-2 Ocy 0 O d.y= 1

Q: Suppose a whispering chamber is 480 feet long and 320 feet wide. a. What is the standard form of the…

A: a=480 ,b=320 centre0,0Standard form of ellipse:x-h2a2+y-k2b2=1Foci of Horizontal…

Concept explainers

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.

Question

Find an equation for the ellipse. Graph the equation.
foci at (0, ± 5); x-intercepts are ±4
Type the left side of the equation of the ellipse.
= 1
Which graph shown below is the graph of the ellipse?
A.
В.
OC.
D.
8-
8-
8-
8-
-8-
-8-
B.
Foo

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ellipses$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is approximately 20 Au and the furthest is approximately 30 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below, use the graph to write an equation for the elliptical orbit of the planet.
What is the standard form equation of the ellipse that has vertices (0,4) and foci (0+15)
The graph of the equation x2a2+y2b2=1 with a >b > 0 is an ellipse with vertices ( __, __ ) and ( __, __ ) and foci (c,0) , where c = ___. So the graph of x252+y242=1 is an ellipse with vertices ( __, __ ) and ( __, __ ) and foci ( __, __ ) and ( __, __ ).
Plywood Ellipse A carpenter wishes to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. He will trace out the ellipse using the “thumbtack and string” method illustrated in Figures 2 and 3. What length of string should he use, and how far apart should the tacks be located, if the ellipse is to be the largest possible that can be cut out of the plywood sheet?
Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gallery because a person standing at one focus of the room can hear even a whisper spoken by a person standing at the other focus. This occurs because any sound emitted from one focus of an ellipse reflects off the side of the ellipse to the other focus. Statuary Hall is 46 feet wide and 97 feet long. (a) Find an equation that models the shape of the room. (b) How far apart are the two foci? (c) What is the area of the floor of the room? (The area of an ellipse is A=ab.)
A comet moves in an elliptical orbit around a sun. The closest the comet gets to the sun is approximately 15 AU and the furthest is approximately 85 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the comet.
How Wide Is an Ellipse at a Focus? A latus rectum for an ellipse is a line segment perpendicular to the major axis at a focus, with endpoints on the ellipse, as shown in the figure. Show that the length of a latus rectum is 2b2/a for the ellipse x2a2+y2b2=1a>b