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Applications 14: Functions and Conics 1. Astronomy A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is approximately 10 AU and the furthest is approximately 70 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the planet. 70 AU (-40, 0) 10 AU (40.) X (30, 0) 2. Manufacturing The function D(p) gives the number of items that will be demanded when the price is p. The production cost C(x) is the cost of producing x items. Interpret each of the following in a complete sentence using correct units. A. D(C(6)) B. C(D(6)) C. D(C(x)) = 6 D. C(C(p)) = 6