Answered: Part 3 (a) Find the standard form of…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section: Chapter Questions

Problem 3CC

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Topic to be discussed: Ellipses and hyperbolas

Part 3
(a) Find the standard form of the equation of the hyperbola, (b) find the center, vertices, foci, and asymptotes of the hyperbola, (c) draw the hyperbola and use a graphing utility to verify your graph.
1.4x2-9y2= 36
2.9x2-y2-36x -6y + 18 = 0

Part 6

You and a friend live 4 miles apart (on the same "east-west" street) and are talking on the phone. You hear thunder produced by lightning in a thunderstorm, and 18 seconds later your friend hears thunder. Find an equation that gives the possible locations where the lightning could have occurred. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second).

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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