College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
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Chapter 7.2, Problem 22E
To determine
To Find: The equation of the ellipse in the standard form Focus at
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Chapter 7 Solutions
College Algebra (MindTap Course List)
Ch. 7.1 - Prob. 1SCCh. 7.1 - Prob. 2SCCh. 7.1 - Prob. 3SCCh. 7.1 - Prob. 4SCCh. 7.1 - Prob. 5SCCh. 7.1 - Prob. 6SCCh. 7.1 - Find the vertex and yintercepts of the parabola...Ch. 7.1 - Prob. 8SCCh. 7.1 - Prob. 9SCCh. 7.1 - Prob. 1E
Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Determine whether the graph of the parabola opens...Ch. 7.1 - Prob. 7ECh. 7.1 - Determine whether the graph of the parabola opens...Ch. 7.1 - Fill in the blanks. A parabola is the set of all...Ch. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Find an equation in standard form of each parabola...Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Write each parabola in standard form and graph it....Ch. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Ripples in a pond When a stone is thrown into the...Ch. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Meshing gear For design purpose, the large gear is...Ch. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Searchlight reflectors A parabolic mirror reflect...Ch. 7.1 - Writing equation of the parabolas Derive the...Ch. 7.1 - Projectiles The cannonball in the illustration...Ch. 7.1 - Satellite antennas The cross section of the...Ch. 7.1 - Design of a satellite antenna The cross section of...Ch. 7.1 - Prob. 79ECh. 7.1 - Operating a resort A resort owner plans to build...Ch. 7.1 - Design of a parabolic reflector Find the outer...Ch. 7.1 - Design of a suspension bridge The cable between...Ch. 7.1 - Gateway Arch The gateway Arch in St.Louis has a...Ch. 7.1 - Building tunnels A construction firm plans to...Ch. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Prob. 88ECh. 7.1 - Prob. 89ECh. 7.1 - Prob. 90ECh. 7.1 - Prob. 91ECh. 7.1 - Prob. 92ECh. 7.1 - Prob. 93ECh. 7.1 - Prob. 94ECh. 7.1 - Prob. 95ECh. 7.1 - Prob. 96ECh. 7.1 - Prob. 97ECh. 7.1 - In Exercises 95-98, match the equation of the...Ch. 7.1 - Prob. 99ECh. 7.1 - Prob. 100ECh. 7.1 - Prob. 101ECh. 7.1 - Prob. 102ECh. 7.2 - Self Check Find an equation in the standard form...Ch. 7.2 - Prob. 2SCCh. 7.2 - Prob. 3SCCh. 7.2 - Prob. 4SCCh. 7.2 - Prob. 5SCCh. 7.2 - Prob. 6SCCh. 7.2 - Prob. 7SCCh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Graph each ellipse. x225+y29=1Ch. 7.2 - Graph each ellipse. x236+y225=1Ch. 7.2 - Graph each ellipse. x225+y249=1Ch. 7.2 - Graph each ellipse. 4x2+y2=4Ch. 7.2 - Graph each ellipse. x216+(y+2)236=1Ch. 7.2 - Graph each ellipse. (x1)2+4y225=4Ch. 7.2 - Graph each ellipse. (x4)249+(y2)29=1Ch. 7.2 - Graph each ellipse. (x1)225+y24=1Ch. 7.2 - Write each ellipse in standard form. 4x2+y22y=15Ch. 7.2 - Prob. 42ECh. 7.2 - Write each ellipse in standard form....Ch. 7.2 - Prob. 44ECh. 7.2 - Graph each ellipse. x2+4y24x+8y+4=0Ch. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Pool tables Find an equation in standard form of...Ch. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Discovery and Writing If F is a focus of the...Ch. 7.2 - Finding the focal width In the ellipse shown,...Ch. 7.2 - Prove that segment FV in Example 7 is the shortest...Ch. 7.2 - Prob. 66ECh. 7.2 - The distance between point P(x,y) and the point...Ch. 7.2 - Prob. 68ECh. 7.2 - Prob. 69ECh. 7.2 - Prob. 70ECh. 7.2 - Prob. 71ECh. 7.2 - Prob. 72ECh. 7.2 - Prob. 73ECh. 7.2 - Prob. 74ECh. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.3 - Write an equation in standard form of the...Ch. 7.3 - Prob. 2SCCh. 7.3 - Prob. 3SCCh. 7.3 - Prob. 4SCCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Write an equation in standard form of each...Ch. 7.3 - Prob. 34ECh. 7.3 - Graph each hyperbola. x29y24=1Ch. 7.3 - Prob. 36ECh. 7.3 - Graph each hyperbola. 4x23y2=36Ch. 7.3 - Graph each hyperbola. 3x24y2=36Ch. 7.3 - Graph each hyperbola. y2x2=1Ch. 7.3 - Graph each hyperbola. x2y24=1Ch. 7.3 - Graph each hyperbola. (x+2)92y24=1Ch. 7.3 - Graph each hyperbola. y29(x2)236=1Ch. 7.3 - Graph each hyperbola. 4(y2)29(x+1)2=36Ch. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Astronomy Some comets have a hyperbolic orbit,...Ch. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Navigation The LORAN LOng RAnge Navigation system...Ch. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Sonic boom The position of a sonic boom caused by...Ch. 7.3 - Discovery and Writing Describe a hyperbola.Ch. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - Prob. 70ECh. 7.3 - Prob. 71ECh. 7.3 - Prob. 72ECh. 7.3 - Prob. 73ECh. 7.3 - Prob. 74ECh. 7.3 - Prob. 75ECh. 7.3 - Prob. 76ECh. 7.3 - Prob. 77ECh. 7.3 - Prob. 78ECh. 7.3 - Prob. 79ECh. 7.3 - Prob. 80ECh. 7.4 - Prob. 1SCCh. 7.4 - Prob. 2SCCh. 7.4 - Prob. 3SCCh. 7.4 - Prob. 4SCCh. 7.4 - Prob. 5SCCh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7.4 - Determine if the statement is true or false. If...Ch. 7.4 - Prob. 65ECh. 7.4 - Prob. 66ECh. 7.CR - Prob. 1ECh. 7.CR - Prob. 2ECh. 7.CR - Prob. 3ECh. 7.CR - Prob. 4ECh. 7.CR - Prob. 5ECh. 7.CR - Prob. 6ECh. 7.CR - Prob. 7ECh. 7.CR - Prob. 8ECh. 7.CR - Prob. 9ECh. 7.CR - Prob. 10ECh. 7.CR - Prob. 11ECh. 7.CR - Prob. 12ECh. 7.CR - Prob. 13ECh. 7.CR - Prob. 14ECh. 7.CR - Prob. 15ECh. 7.CR - Prob. 16ECh. 7.CR - Prob. 17ECh. 7.CR - Prob. 18ECh. 7.CR - Prob. 19ECh. 7.CR - Prob. 20ECh. 7.CR - Prob. 21ECh. 7.CR - Prob. 22ECh. 7.CR - Prob. 23ECh. 7.CR - Prob. 24ECh. 7.CR - Prob. 25ECh. 7.CR - Prob. 26ECh. 7.CR - Prob. 27ECh. 7.CR - Prob. 28ECh. 7.CR - Prob. 29ECh. 7.CR - Prob. 30ECh. 7.CT - Prob. 1CTCh. 7.CT - Prob. 2CTCh. 7.CT - Prob. 3CTCh. 7.CT - Prob. 4CTCh. 7.CT - Prob. 5CTCh. 7.CT - Prob. 6CTCh. 7.CT - Prob. 7CTCh. 7.CT - Prob. 8CTCh. 7.CT - Prob. 9CTCh. 7.CT - Prob. 10CTCh. 7.CT - Prob. 11CTCh. 7.CT - Prob. 12CTCh. 7.CT - Prob. 13CTCh. 7.CT - Prob. 14CTCh. 7.CT - Prob. 15CTCh. 7.CT - Prob. 16CTCh. 7.CT - Solve each system using substitution and...Ch. 7.CT - Prob. 18CTCh. 7.CT - Prob. 19CTCh. 7.CT - Prob. 20CTCh. 7.CM - Prob. 1CMCh. 7.CM - Prob. 2CMCh. 7.CM - Prob. 3CMCh. 7.CM - Prob. 4CMCh. 7.CM - Simplify each expression Assume that all variables...Ch. 7.CM - Prob. 6CMCh. 7.CM - Prob. 7CMCh. 7.CM - Prob. 8CMCh. 7.CM - Prob. 9CMCh. 7.CM - Prob. 10CMCh. 7.CM - Prob. 11CMCh. 7.CM - Prob. 12CMCh. 7.CM - Prob. 13CMCh. 7.CM - Prob. 14CMCh. 7.CM - Prob. 15CMCh. 7.CM - Prob. 16CMCh. 7.CM - Prob. 17CMCh. 7.CM - Prob. 18CMCh. 7.CM - Prob. 19CMCh. 7.CM - Prob. 20CMCh. 7.CM - Prob. 21CMCh. 7.CM - Prob. 22CMCh. 7.CM - Prob. 23CMCh. 7.CM - Prob. 24CMCh. 7.CM - Prob. 25CMCh. 7.CM - Prob. 26CMCh. 7.CM - Prob. 27CMCh. 7.CM - Prob. 28CMCh. 7.CM - Prob. 29CMCh. 7.CM - Prob. 30CMCh. 7.CM - Prob. 31CMCh. 7.CM - Prob. 32CMCh. 7.CM - Prob. 33CMCh. 7.CM - Prob. 34CMCh. 7.CM - Prob. 35CMCh. 7.CM - Prob. 36CMCh. 7.CM - Prob. 37CMCh. 7.CM - Prob. 38CMCh. 7.CM - Prob. 39CMCh. 7.CM - Prob. 40CMCh. 7.CM - Prob. 41CMCh. 7.CM - Prob. 42CMCh. 7.CM - Prob. 43CMCh. 7.CM - Prob. 44CMCh. 7.CM - Prob. 45CMCh. 7.CM - Prob. 46CMCh. 7.CM - Prob. 47CMCh. 7.CM - Prob. 48CMCh. 7.CM - Prob. 49CMCh. 7.CM - Prob. 50CMCh. 7.CM - Prob. 51CMCh. 7.CM - Prob. 52CMCh. 7.CM - Prob. 53CMCh. 7.CM - Prob. 54CMCh. 7.CM - Prob. 55CMCh. 7.CM - Prob. 56CMCh. 7.CM - Prob. 57CMCh. 7.CM - Prob. 58CMCh. 7.CM - Prob. 59CMCh. 7.CM - Prob. 60CMCh. 7.CM - Prob. 61CMCh. 7.CM - Prob. 62CMCh. 7.CM - Prob. 63CMCh. 7.CM - Prob. 64CM
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- Find the equation of the ellipse shown.arrow_forwardFind the equation of the parabolic arch formed in the foundation of the bridge shown. Write the equation in standard form.arrow_forwardStatuary 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.)arrow_forward
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