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 32 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: The x-axis and the y-axis are asymptotes of the equilateral hyperbola whose equation is xy = 9. Find…

A: Given: xy=9 we know that length of transverse axis and conjugate axis is equal for rectangular…

Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: A sealed-beam headlight is in the shape of a paraboloid of revolution (parabolic shaped). The bulb,…

A:

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A:

Q: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

A: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

Q: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

A:

Q: Find the equation of a hyperbola with center at (3,-1) if the transverse axis is horizontal, the…

A: Given Centre = (3,-1) Focal distance = 20 units Length of transverse axis = 16 units

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

A:

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y2 + 4x = 36 and…

A:

Q: A racetrack is in the shape of an ellipse 100 feet long and 50 feet wide. What is the width 10 feet…

A: Given that shape of ellipse is 100 feet long and 50 feet wide. Draw a rough sketch showing the given…

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y? + 4x = 36 and…

A: Given :-  An equation for the ellipse that shares a vertex and focus with the parabola y2 + 4x = 36…

Q: What is the eccentricity of a hyperbola with major and minor axes of 8 and 6 units, respectively?…

A: For the solution of the problem follow the next step.

Q: 27x2 + 9y2 - 81 = 0 %3D

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Parabola is a locus of such points whose distance is equal from a fixed point and fixed line. The…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The casting has diameter 8  inches. Hence 2x=8, we have, x=4 inches Also depth = 1 inch, hence, y=1

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 8…

A: Since, it is given that the reflector of the flashlight has the shape of parabola.Suppose the…

Q: Find the equation of the ellipse whose foci are at (7,3) and ( 21,3),and the length of its major…

A:

Q: A cable TV receiving dish is in the shape of a paraboloid of revolution (3D parabola). Find the…

A:

Q: A satellite dish is being designed so that it can pick up radio waves coming from space. The…

A:

Q: Suppose that two people standing 2 mi (10,560 ft) apart at points A and B hear a car backfire. The…

A:

Q: The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable…

A:

Q: The cables of a suspension bridge are in the shape of a parabola.The towers supporting the cable are…

A: A parabola is a type of curve which where the distance of any point of the curve is same from one…

Q: Jim and Bob want to exchange secrets from across a crowded whispering gallery. (A whispering gallery…

A:

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: The distance from the center to a vertex of the hyperbola 4 16 is

A:

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…

A: Solution is here

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: It is given in the question that for x=64(end-to-end), y=8. Assuming the general equation of the…

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

A: Option B is correct.

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A:

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Given: A satellite dish is shaped like a paraboloid of the revolution. this means that it can be…

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: How far from the vertex should the light bulb be placed?

Q: given the directrix of y = 6 and focus of (0, 4) which is the equation of the parabola

A:

Q: The cables of the suspension bridge are in the shape of a parabola. The towers supporting the cable…

A:

Q: car is traveling at night along a highway shaped like parabola with its vertex at the origin (see…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Here we use the concept of conic section

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Explanation: According to the given situation,  center of the parabola is (0,0) It means two points…

Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

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Q: For Exercise, find the standard form of the equation of the ellipse or hyperbola shown. 41 S 10

A:

Q: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid,…

A: Given: A sound receiving dish used at outdoor sporting events is constructed in theshape of a…

Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Given data: The diameter of the reflector is 4 inches and a depth of 1 inch. it means x=2 and y=1.…

Q: The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable…

A: Given that, The cables of the suspension bridge are in the shape of parabola. The towers supporting…

Q: The cross section of a power plant cooling tower is in the shape of a hyperbola.  the base diameter…

A:

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

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.