Download Ellipses, Pre calculus, Mathematics and more Exercises Mathematics in PDF only on Docsity!
**Precalculus WEEK 3 Answer Sheet Name: _____________________________________ Section:
What I have LEARNED** Find the standard equation of the ellipse which satisfies the given conditions.
- foci (-7,6) and (-1, 6), the sum of the distances of any point from the foci is 14
- center (5,3), horizontal major axis of length 20, minor axis of length 16
- major axis of length 22, foci 9 units above and below the center (2,4) What I can DO Read each problem carefully then solve for what is asked. Show your solution on the space provided.
- A semielliptical tunnel has height 9 ft and a width of 30 ft. A truck that is about to pass through is 12 ft wide and 8.3 ft high. Will this truck be able to pass through the tunnel?
- A truck that is about to pass through the tunnel from the previous item is 10 ft wide and 8.3 ft high. Will this truck be able to pass through the tunnel?
POST – ASSESSMENT
I. In the graphs below, determine the coordinates of the^ center (C) ,^ foci (F 1 ,F 2 ), vertices (V 1 ,V 2 ) and covertices(W 1 ,W 2 ). Label these points, then write its standard form.
II. Find the standard equation of the parabola which satisfies the given conditions. 1. covertices (-4,8) and (10,8), a focus at (3,12) 2. vertices (-10,-4) and (6,-4), and covertices (-2,-9) and (-2,1). III.Read the problem carefully then solve for what is asked. Show your solution on the space provided. 1. An orbit of a satellite around a planet is an ellipse, with the planet at one focus of this ellipse. The distance of the satellite from this star varies from 300,000 km to 500,000 km, attained when the satellite is at each of the two vertices. Find the equation of this ellipse, if its center is at the origin, and the vertices are on the x-axis. Assume all units are in 100,000 km.
