Stitz-Zeager_College_Algebra_e-book

Interchange the position of any two equations replace

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Unformatted text preview: d the distance in AU between the sun and perihelion. 5. The graph of an ellipse clearly fails the Vertical Line Test, Theorem 1.1, so the equation of an ellipse does not define y as a function of x. However, much like with circles and horizontal parabolas, we can split an ellipse into a top half and a bottom half, each of which would indeed represent y as a function of x. With the help of your classmates, use your calculator to graph the ellipses given in Exercise 1 above. What difficulties arise when you plot them on the calculator? 2 One might also say that the ellipse is “tangent to the axes” at those two points. 7.4 Ellipses 429 6. With the help of your classmates, research whispering galleries and other ways ellipses have been used in architecture and design. 7. With the help of your classmates, research “extracorporeal shock-wave lithotripsy”. It uses the reflective property of the ellipsoid to dissolve kidney stones. 430 7.4.2 Hooked on Conics Answers 1. (a) (b) (c) (d) x2 y2 + =1 169 25 Center (0, 0) Major axis along y = 0 Minor axis along x = 0 Vertices (13, 0), (−13, 0) Foci (12, 0), (...
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