The coordinates in miles for the orbit of the artificial satellite Explorer VII can be modeled by

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The coordinates in miles for the orbit of the artificial satellite Explorer VII can be modeled by the equationx2 y2 1, a? b2


where a = 4465 and b = 4462. Earth’s center is located at one focus of the elliptical orbit.

(a) Graph both the orbit of Explorer VII and the Earth’s surface on the same coordinate axes if the average radius of Earth is 3960 mi. Use the window [-6750, 6750] by [-4500, 4500].

(b) Find the maximum and minimum heights of the satellite above Earth’s surface to the nearest mile.

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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