A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 64 feet across at its opening and 4 feet deep at its center, where should the receiver be placed? Find the equation of the parabola How far above the vertex should the receiver be placed?

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: The cables that hold up a suspension bridge form a parabola. The distance between the towers is 600…

A: Given that, the distance between towers as 600 feet and the height of each tower is 500 feet from…

Q: The Arecibo Observatory in Puerto Rico was just decommissioned after sustaining a lot of damage, but…

A: It is given that, the height of the focus from the vertex is 500 feet and it is 1000 feet wide at…

Q: Two LORAN radio stations A and B are 170 kilometers apart and send a simultaneous radio signal to a…

A: Given that Distance between two stations =170km The signal from B arrives 0.0002 seconds before the…

Q: (a) (y – A)2 (x – C)? = 1 B2 D2 where A = where B = where C = where D =

A: We will use standard equation for ellipse.

Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

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Q: Graph the ellipse with the given equation (x-1)² (y+2)² 9. = 1 4 and identify the 1. direction…

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Q: Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular…

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Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.