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 62E
To determine
To Prove:
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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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- By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and F2 called foci is constant. In the grid provided, find points whose sum of distances from points F13, 0 and F2-3, 0 is 10. That is, locate some points for which PF1+PF2=10; point P5, 0 is one such point. Then sketch the ellipse.arrow_forwardFor the special case mentioned in the previous question, what would be true about the foci of that ellipse?arrow_forwardAn ellipse is the set of all points in the plane for which the ____ of the distances from two fixed points F1 and F2 is constant. The points F1 and F2 are called the ____ of the ellipse.arrow_forward
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