College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 7.3, Problem 30E
To determine
To find:
The equation of hyperbola.
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Chapter 7 Solutions
College Algebra
Ch. 7.1 - A parabola is the set of all points in the plane...Ch. 7.1 - The graph of the equation x2=4py is a parabola...Ch. 7.1 - The graph of the equation y2=4px is a parabola...Ch. 7.1 - Label the focus, directrix, and vertex on the...Ch. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Graphs of Parabolas Match the equation with the...Ch. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Graphing Parabolas An equation of a parabola is...Ch. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Graphing Parabolas Use a graphing device to graph...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Finding the Equation of a Parabola Find an...Ch. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Finding the Equation of a Parabola Find an...Ch. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Finding the Equation of a Parabola Find an...Ch. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Parabolic Reflector A lamp with a parabolic...Ch. 7.1 - Satellite Dish A reflector for a satellite dish is...Ch. 7.1 - Suspension Bridge In a suspension bridge the shape...Ch. 7.1 - Reflecting Telescope The Hale telescope at the...Ch. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.2 - An ellipse is the set of all points in the plane...Ch. 7.2 - The graph of the equation x2a2+y2b2=1 with a >b >...Ch. 7.2 - Prob. 3ECh. 7.2 - Label the vertices and foci on the graphs given...Ch. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - 7Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 7.2 - Graphing Ellipses An equation of an ellipse is...Ch. 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 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 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 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Perihelion and Aphelion The planets move around...Ch. 7.2 - Prob. 66ECh. 7.2 - Lunar Orbit For an object in an elliptical orbit...Ch. 7.2 - Plywood Ellipse A carpenter wishes to construct an...Ch. 7.2 - Sunburst Window A “sunburst” window above a...Ch. 7.2 - Prob. 70ECh. 7.2 - DISCUSS: Light Cone from a Flashlight A flashlight...Ch. 7.2 - DISCUSS: Is It an Ellipse? A piece of paper is...Ch. 7.3 - A hyperbola is the set of all points in the plane...Ch. 7.3 - Prob. 2ECh. 7.3 - The graph of the equation x2a2+y2b2=1 with a > 0,...Ch. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 7.3 - Graphing Hyperbolas An equation of a hyperbola is...Ch. 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 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 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 - Perpendicular Asymptotes Show that the asymptotes...Ch. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Navigation In the figure on the next page, the...Ch. 7.3 - Comet Trajectories Some comets, such as Halley’s...Ch. 7.3 - Ripples in Pool Two stones are dropped...Ch. 7.3 - Prob. 59ECh. 7.3 - DISCUSS: Light from a Lamp The light from a lamp...Ch. 7.4 - Suppose we want to graph an equation in x and y....Ch. 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 - Prob. 64ECh. 7.4 - Prob. 65ECh. 7.4 - Prob. 66ECh. 7.4 - Orbit of a Satellite A satellite is in an...Ch. 7.4 - DISCUS: A Family of Confocal Conics Conics that...Ch. 7 - Prob. 1CCCh. 7 - Prob. 2CCCh. 7 - Prob. 3CCCh. 7 - Prob. 4CCCh. 7 - Prob. 5CCCh. 7 - Prob. 1ECh. 7 - Graphing Parabola An equation of a parabola is...Ch. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 7ECh. 7 - Prob. 8ECh. 7 - Prob. 9ECh. 7 - Prob. 10ECh. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Prob. 37ECh. 7 - Prob. 38ECh. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - Prob. 55ECh. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - Prob. 59ECh. 7 - Prob. 60ECh. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - LORAN A ship is located 40 mi from a straight...Ch. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Find an equation for the ellipse with foci (3,0)...Ch. 7 - Find an equation for the hyperbola with foci (0,5)...Ch. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Find an equation for the ellipse with center (2,...Ch. 7 - Prob. 14TCh. 7 - A parabolic reflector for a car headlight forms a...Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6P
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- Discovery and Writing Describe a hyperbola.arrow_forwardWrite the equation of a parabola that opens up or down in standard form and the equation of a parabola that opens left or right in standard form. Provide a sketch of the parabola for each one, label the vertex and axis of symmetry.arrow_forwardWhen an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane. If the airplane is flying parallel to the ground, then the sound waves intersect the ground in a hyperbola with the airplane directly above its center, and a sonic boom is heard along the hyperbola. You hear a sonic boom that is audible along a hyperbola with the equation (x2/100)(y2/4)=1, where x and y are measured in miles. What is the shortesthorizontal distance you could be from the airplane?arrow_forward
- Fill in the blanks. The line segment connecting the vertices of a hyperbola is the , and its midpoint is the of the hyperbola.arrow_forwardWriting equation of the parabolas Derive the equation of the parabolic arch shown.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
- 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_forwardSuspension Bridge Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are 1280 meters apart. The top of each tower is 152 meters above the roadway. The cables touch the roadway at the midpoint between the towers. (a) Sketch the bridge on a rectangular coordinate system with the cables touching the roadway at the origin. Label the coordinates of the known points. (b) Write an equation that models the cables.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_forward
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