Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 12.3, Problem 36E
To determine
To graph:
The hyperbola using graphing device.
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Chapter 12 Solutions
Algebra and Trigonometry (MindTap Course List)
Ch. 12.1 - A parabola is the set of all points in the plane...Ch. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - 5-10 Graphs of Parabolas Match the equation with...Ch. 12.1 - Prob. 8ECh. 12.1 - 5-10 Graphs of Parabolas Match the equation with...Ch. 12.1 - Prob. 10E
Ch. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - 11-24 Graphing Parabolas An equation of a parabola...Ch. 12.1 - 11-24 Graphing Parabolas An equation of a parabola...Ch. 12.1 - Prob. 15ECh. 12.1 - 11-24 Graphing Parabolas An equation of a parabola...Ch. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - 11-24 Graphing Parabolas An equation of a parabola...Ch. 12.1 - 11-24 Graphing Parabolas An equation of a parabola...Ch. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Prob. 23ECh. 12.1 - 11-24 Graphing Parabolas An equation of a parabola...Ch. 12.1 - 25-30 Graphing Parabolas Use a graphing device to...Ch. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 32ECh. 12.1 - Prob. 33ECh. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 35ECh. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 38ECh. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 45ECh. 12.1 - 31-48 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 47ECh. 12.1 - Prob. 48ECh. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - Prob. 54ECh. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - 49-58 Finding the Equation of a Parabola Find an...Ch. 12.1 - SKILLS 59-60 Families of Parabolasa Find equations...Ch. 12.1 - SKILLS 59-60 Families of Parabolas a Find...Ch. 12.1 - APPLICATIONS Parabolic Reflector A lamp with a...Ch. 12.1 - APPLICATIONS Satellite Dish A reflector for a...Ch. 12.1 - APPLICATIONS Suspension Bridge In a suspension...Ch. 12.1 - Prob. 64ECh. 12.1 - DISCUSS WRITE: Parabolas in the Real World Several...Ch. 12.1 - Prob. 66ECh. 12.2 - CONCEPTS An ellipse is the set of all points in...Ch. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - SKILLS 5-8Graphs of Ellipses Match the equation...Ch. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Prob. 10ECh. 12.2 - Prob. 11ECh. 12.2 - Prob. 12ECh. 12.2 - SKILLS 9-28 Graphing Ellipse An equation of an...Ch. 12.2 - SKILLS 9-28 Graphing Ellipse An equation of an...Ch. 12.2 - Prob. 15ECh. 12.2 - SKILLS Graphing Ellipse An equation of an ellipse...Ch. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - SKILLS 9-28 Graphing Ellipses An equation of an...Ch. 12.2 - SKILLS 9-28 Graphing Ellipses An equation of an...Ch. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - 9-28. Graphing Ellipses An equation of ellipse is...Ch. 12.2 - 9-28. Graphing Ellipses An equation of ellipse is...Ch. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Prob. 30ECh. 12.2 - 29-34 Finding the Equation of an Ellipse Find an...Ch. 12.2 - 29-34 Finding the Equation of an Ellipse Find an...Ch. 12.2 - Prob. 33ECh. 12.2 - Prob. 34ECh. 12.2 - Prob. 35ECh. 12.2 - Prob. 36ECh. 12.2 - 35-38 Graphing Ellipses Use a graphing device to...Ch. 12.2 - Prob. 38ECh. 12.2 - Prob. 39ECh. 12.2 - 39-56 Finding the Equation of an Ellipse Find an...Ch. 12.2 - Prob. 41ECh. 12.2 - Prob. 42ECh. 12.2 - 39-56 Finding the Equation of an Ellipse Find an...Ch. 12.2 - 39-56 Finding the Equation of an Ellipse Find an...Ch. 12.2 - Prob. 45ECh. 12.2 - Prob. 46ECh. 12.2 - Prob. 47ECh. 12.2 - 39-56 Finding the Equation of an Ellipse Find an...Ch. 12.2 - 39-56 Finding the Equation of an Ellipse Find an...Ch. 12.2 - Prob. 50ECh. 12.2 - Prob. 51ECh. 12.2 - Prob. 52ECh. 12.2 - Prob. 53ECh. 12.2 - SKILLS 39-56 Finding the Equation of an Ellipse...Ch. 12.2 - SKILLS 39-56 Finding the Equation of an Ellipse...Ch. 12.2 - Prob. 56ECh. 12.2 - Prob. 57ECh. 12.2 - Prob. 58ECh. 12.2 - Prob. 59ECh. 12.2 - Prob. 60ECh. 12.2 - SKILLS Plus Ancillary Circle The ancillary circle...Ch. 12.2 - Prob. 62ECh. 12.2 - Prob. 63ECh. 12.2 - How Wide Is an Ellipse at a Focus? A latus rectum...Ch. 12.2 - APPLICATIONS Perihelion and Aphelion The planets...Ch. 12.2 - Prob. 66ECh. 12.2 - APPLICATIONS Lunar Orbit For an object in an...Ch. 12.2 - Plywood Ellipse A carpenter wishes to construct an...Ch. 12.2 - Prob. 69ECh. 12.2 - Prob. 70ECh. 12.2 - Prob. 71ECh. 12.2 - DISCUSS Is It an Ellipse? A piece of paper is...Ch. 12.3 - CONCEPTS A Hyperbola is the set of all points in...Ch. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Prob. 6ECh. 12.3 - SKILLS Graphs of Hyperbolas Match the equation...Ch. 12.3 - Prob. 8ECh. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 12.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - SKILLS 926Graphing HyperbolasAn equation of a...Ch. 12.3 - Prob. 17ECh. 12.3 - SKILLS 926Graphing Hyperbolas An equation of a...Ch. 12.3 - SKILLS 926Graphing Hyperbolas An equation of a...Ch. 12.3 - Prob. 20ECh. 12.3 - Prob. 21ECh. 12.3 - SKILLS 926Graphing Hyperbolas An equation of a...Ch. 12.3 - Prob. 23ECh. 12.3 - SKILLS 926Graphing Hyperbolas An equation of a...Ch. 12.3 - SKILLS 926Graphing Hyperbolas An equation of a...Ch. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Prob. 30ECh. 12.3 - Prob. 31ECh. 12.3 - 27-32. Finding the equation of a Hyperbola Find...Ch. 12.3 - Prob. 33ECh. 12.3 - Prob. 34ECh. 12.3 - Prob. 35ECh. 12.3 - Prob. 36ECh. 12.3 - 37-50. Finding the Equation of a Hyperbola Find an...Ch. 12.3 - Prob. 38ECh. 12.3 - Prob. 39ECh. 12.3 - 37-50 Finding the equation of a HyperbolaFind the...Ch. 12.3 - Prob. 41ECh. 12.3 - Prob. 42ECh. 12.3 - 37-50 Finding the equation of a Hyperbola Find an...Ch. 12.3 - 37-50 Finding the equation of a Hyperbola Find an...Ch. 12.3 - Prob. 45ECh. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - 37-50 Finding the equation of a Hyperbola Find an...Ch. 12.3 - Prob. 50ECh. 12.3 - Prob. 51ECh. 12.3 - Prob. 52ECh. 12.3 - Prob. 53ECh. 12.3 - Prob. 54ECh. 12.3 - Prob. 55ECh. 12.3 - Prob. 56ECh. 12.3 - Comet Trajectories Some comets, such as Halleys...Ch. 12.3 - Prob. 58ECh. 12.3 - Prob. 59ECh. 12.3 - Prob. 60ECh. 12.4 - Suppose we want to graph an equation in x and y. a...Ch. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - SKILLS 5-12 Graphing Shifted Ellipses An equation...Ch. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - Prob. 11ECh. 12.4 - Prob. 12ECh. 12.4 - SKILLS 13-20 Graphing Shifted Parabolas An...Ch. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - SKILLS 13-20 Graphing Shifted Parabolas An...Ch. 12.4 - SKILLS 13-20 Graphing Shifted Parabolas An...Ch. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - 21-28 Graphing Shifted HyperbolasAn equation of...Ch. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Prob. 35ECh. 12.4 - Prob. 36ECh. 12.4 - 35-46Finding the Equation of a Shifted Conic Find...Ch. 12.4 - Prob. 38ECh. 12.4 - 35-46Finding the Equation of a Shifted Conic Find...Ch. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.4 - Prob. 44ECh. 12.4 - Prob. 45ECh. 12.4 - Prob. 46ECh. 12.4 - Prob. 47ECh. 12.4 - Prob. 48ECh. 12.4 - SKILLS 47-58 Graphing Shifted Conics Complete the...Ch. 12.4 - Prob. 50ECh. 12.4 - Prob. 51ECh. 12.4 - Prob. 52ECh. 12.4 - Prob. 53ECh. 12.4 - Prob. 54ECh. 12.4 - 47-58 Graphing Shifted Conics Complete the square...Ch. 12.4 - SKILLS 47-58 Graphing Shifted Conics Complete the...Ch. 12.4 - Prob. 57ECh. 12.4 - Prob. 58ECh. 12.4 - Prob. 59ECh. 12.4 - Prob. 60ECh. 12.4 - 59-62. Graphing Shifting Conics Use a graphing...Ch. 12.4 - Prob. 62ECh. 12.4 - Prob. 63ECh. 12.4 - Prob. 64ECh. 12.4 - Prob. 65ECh. 12.4 - Prob. 66ECh. 12.4 - Orbit of a satellite A satellite is in an...Ch. 12.4 - DISCUSS: A Family of Confocal Conics Conics that...Ch. 12.5 - Suppose the x- and y-axes are routed through an...Ch. 12.5 - Prob. 2ECh. 12.5 - Prob. 3ECh. 12.5 - Prob. 4ECh. 12.5 - Prob. 5ECh. 12.5 - Prob. 6ECh. 12.5 - Prob. 7ECh. 12.5 - 3-8 Rotation of Axes Determine the XY-coordinates...Ch. 12.5 - Prob. 9ECh. 12.5 - Prob. 10ECh. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - Prob. 13ECh. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Prob. 17ECh. 12.5 - Prob. 18ECh. 12.5 - Prob. 19ECh. 12.5 - Prob. 20ECh. 12.5 - Prob. 21ECh. 12.5 - 15-28 Graphing a Rotated Conic a Use the...Ch. 12.5 - Prob. 23ECh. 12.5 - Prob. 24ECh. 12.5 - Prob. 25ECh. 12.5 - Prob. 26ECh. 12.5 - Prob. 27ECh. 12.5 - Prob. 28ECh. 12.5 - Prob. 29ECh. 12.5 - Prob. 30ECh. 12.5 - Prob. 31ECh. 12.5 - Prob. 32ECh. 12.5 - Prob. 33ECh. 12.5 - Prob. 34ECh. 12.5 - Prob. 35ECh. 12.5 - Prob. 36ECh. 12.5 - Prob. 37ECh. 12.5 - Prob. 38ECh. 12.5 - Prob. 39ECh. 12.6 - CONCEPTS All conics can be described geometrically...Ch. 12.6 - Prob. 2ECh. 12.6 - Prob. 3ECh. 12.6 - Prob. 4ECh. 12.6 - Prob. 5ECh. 12.6 - Prob. 6ECh. 12.6 - Prob. 7ECh. 12.6 - Prob. 8ECh. 12.6 - Prob. 9ECh. 12.6 - Prob. 10ECh. 12.6 - Prob. 11ECh. 12.6 - Prob. 12ECh. 12.6 - Prob. 13ECh. 12.6 - Prob. 14ECh. 12.6 - Prob. 15ECh. 12.6 - Prob. 16ECh. 12.6 - Prob. 17ECh. 12.6 - Prob. 18ECh. 12.6 - Prob. 19ECh. 12.6 - Prob. 20ECh. 12.6 - Prob. 21ECh. 12.6 - Prob. 22ECh. 12.6 - Prob. 23ECh. 12.6 - Prob. 24ECh. 12.6 - Prob. 25ECh. 12.6 - Prob. 26ECh. 12.6 - Prob. 27ECh. 12.6 - Prob. 28ECh. 12.6 - Prob. 29ECh. 12.6 - Prob. 30ECh. 12.6 - Prob. 31ECh. 12.6 - Prob. 32ECh. 12.6 - Prob. 33ECh. 12.6 - Prob. 34ECh. 12.6 - Prob. 35ECh. 12.6 - Prob. 36ECh. 12.6 - Prob. 37ECh. 12.6 - Prob. 38ECh. 12.6 - Prob. 39ECh. 12.6 - Prob. 40ECh. 12.6 - Prob. 41ECh. 12.6 - Prob. 42ECh. 12.6 - Prob. 43ECh. 12.6 - Prob. 44ECh. 12.6 - Prob. 45ECh. 12.6 - Prob. 46ECh. 12.6 - Prob. 47ECh. 12.CR - Prob. 1CCCh. 12.CR - Prob. 2CCCh. 12.CR - a Give the geometric definition of a hyperbola. b...Ch. 12.CR - Prob. 4CCCh. 12.CR - Prob. 5CCCh. 12.CR - Prob. 6CCCh. 12.CR - Prob. 7CCCh. 12.CR - Prob. 8CCCh. 12.CR - Prob. 1ECh. 12.CR - Prob. 2ECh. 12.CR - Prob. 3ECh. 12.CR - Prob. 4ECh. 12.CR - Prob. 5ECh. 12.CR - Prob. 6ECh. 12.CR - Prob. 7ECh. 12.CR - Prob. 8ECh. 12.CR - Prob. 9ECh. 12.CR - Prob. 10ECh. 12.CR - Prob. 11ECh. 12.CR - Prob. 12ECh. 12.CR - Prob. 13ECh. 12.CR - Prob. 14ECh. 12.CR - Prob. 15ECh. 12.CR - Prob. 16ECh. 12.CR - Prob. 17ECh. 12.CR - Prob. 18ECh. 12.CR - Prob. 19ECh. 12.CR - Prob. 20ECh. 12.CR - Prob. 21ECh. 12.CR - Prob. 22ECh. 12.CR - Prob. 23ECh. 12.CR - Prob. 24ECh. 12.CR - Prob. 25ECh. 12.CR - Prob. 26ECh. 12.CR - Prob. 27ECh. 12.CR - Prob. 28ECh. 12.CR - Prob. 29ECh. 12.CR - Prob. 30ECh. 12.CR - Prob. 31ECh. 12.CR - Prob. 32ECh. 12.CR - Prob. 33ECh. 12.CR - Prob. 34ECh. 12.CR - Prob. 35ECh. 12.CR - Prob. 36ECh. 12.CR - Prob. 37ECh. 12.CR - Prob. 38ECh. 12.CR - Prob. 39ECh. 12.CR - Prob. 40ECh. 12.CR - Prob. 41ECh. 12.CR - Prob. 42ECh. 12.CR - Prob. 43ECh. 12.CR - Prob. 44ECh. 12.CR - Prob. 45ECh. 12.CR - Prob. 46ECh. 12.CR - Prob. 47ECh. 12.CR - Prob. 48ECh. 12.CR - Prob. 49ECh. 12.CR - Prob. 50ECh. 12.CR - 43-54 Indentifying and Graphic a conicDetermine...Ch. 12.CR - Prob. 52ECh. 12.CR - Prob. 53ECh. 12.CR - Prob. 54ECh. 12.CR - Prob. 55ECh. 12.CR - Prob. 56ECh. 12.CR - Prob. 57ECh. 12.CR - Prob. 58ECh. 12.CR - Prob. 59ECh. 12.CR - Prob. 60ECh. 12.CR - Prob. 61ECh. 12.CR - Prob. 62ECh. 12.CR - Prob. 63ECh. 12.CR - Prob. 64ECh. 12.CR - Prob. 65ECh. 12.CR - Prob. 66ECh. 12.CR - Prob. 67ECh. 12.CR - Prob. 68ECh. 12.CR - Prob. 69ECh. 12.CR - Prob. 70ECh. 12.CR - Prob. 71ECh. 12.CR - Prob. 72ECh. 12.CR - Prob. 73ECh. 12.CR - Prob. 74ECh. 12.CR - Prob. 75ECh. 12.CR - Prob. 76ECh. 12.CR - Prob. 77ECh. 12.CR - Prob. 78ECh. 12.CR - Prob. 79ECh. 12.CR - Prob. 80ECh. 12.CT - Prob. 1CTCh. 12.CT - Prob. 2CTCh. 12.CT - Prob. 3CTCh. 12.CT - Prob. 4CTCh. 12.CT - Prob. 5CTCh. 12.CT - Find an equation for the hyperbola with foci (0,5)...Ch. 12.CT - 7-9 Find an equation for the conic whose graph is...Ch. 12.CT - Prob. 8CTCh. 12.CT - Prob. 9CTCh. 12.CT - Prob. 10CTCh. 12.CT - 10-12 Determine whether the equation represents...Ch. 12.CT - Prob. 12CTCh. 12.CT - Prob. 13CTCh. 12.CT - Find an equation for the parabola with focus (2,4)...Ch. 12.CT - A parabolic reflector for a car headlight forms a...Ch. 12.CT - aUse the discriminant to determine whether the...Ch. 12.CT - Prob. 17CTCh. 12.FOM - Prob. 1PCh. 12.FOM - Prob. 2PCh. 12.FOM - Prob. 3PCh. 12.FOM - Prob. 4PCh. 12.FOM - Prob. 5PCh. 12.FOM - Prob. 6P
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- Discovery and Writing Describe a hyperbola.arrow_forwardDISCUSS: Light from a Lamp The light from a lamp forms a lighted area on a wall, as shown in the figure. Why is the boundary of this lighted area a hyperbola? How can one hold a flashlight so that its beam forms a hyperbola on the ground?arrow_forwardProperty of a Hyperbola Use the figure to show that d2d1=2a.arrow_forward
- Road Design Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is 32 feet wide and 0.4 foot higher in the center than it is on the sides (see figure). (a) Write an equation of the parabola with its vertex at the origin that models the road surface. (b) How far from the center of the road is the road surface 0.1 foot lower than the center?arrow_forwardWindow Design A church window is bounded above by a parabola (see figure). Write an equation of the parabola.arrow_forwardDesign of a suspension bridge The cable between the tower of the suspension bridge shown in the illustration has the shape of a parabola with vertex 15feet above the roadway. Find an equation in standard form of the parabola.arrow_forward
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