Radiation is focused to an unhealthy area in a patient’s body using a parabolic reflector, positioned in such a way that the target area is at the focus. If the reflector is 30 cm wide and 15 cm deep at the center, how far should the base of the reflector be from the target area?

Q: 4. Determine the equation of an ellipse having foci (0, ±9) and major axis length 22.

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Q: 60 cm in diameter and 5 cm deep, find the focus

A: diameter of parabolic reflector = 60cm & 5 cm

Q: The following hyperbola has a vertical transverse axis: (x+2)² (+7) _ =1. 17 16

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Q: 6. Find the Equation of the Ellipse whose Vertices and Foci are at (0, ±17) and (0, ±9)…

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Q: If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus

A: We have to find the focus of the given parabola.

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Q: I. Graph the curve of hyperbola given its standard form of equation. 1. y? - x2 = 1 9 16 2. (x+ 1)?…

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Q: Pz/ for hyperbola find vertices ? ye 5 =1

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Q: A satellite dish in the shape of a paraboloid is 10 ft across, and 4 ft deep at its vertex. How far…

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Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

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Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: Hi there! I'm trying to figure out how far from the vertex of the parabolic reflector should the…

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Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

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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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Q: Find the equation of the ellipse with the given properties: Vertices at (+9, 0) and (0, ±25) 1

A: Solution:-

Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem…

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda…

Q: As the graph of a parabola becomes wider , what will happen to the distance between the focus and…

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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.