A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are attached at the top of each tower.The cable from a parabolic curve and the lowest point of the cable is 15 meters from the surface of the bridge. Which set of information is true to the scenario described?

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A:

Q: The solid whose base is the triangle with vertices (0, 0), (2, 0), and (0, 2), and whose cross…

A:

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A:

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

A:

Q: 5. If the receiver is placed at the focus of the satelite dish shaped like a paraboloid which has a…

A: Let's find.

Q: What is the example formula equation for 3d satellite (elliptic paraboloid)

A: To find: Formula equation for 3D satellite(elliptic paraboloid).

Q: When Spherius dips through Flatland, his cross section appears as a circle whose circumference is…

A:

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (4,). %3D

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 208 feet.…

A:

Q: In your own words, explain the difference between a parametric bootstrap and a nonparametrio…

A: Parametric bootstrap - If the information about the population is completely known by means of its…

Q: What type of three-dimensional object will form from rotating this two-dimensional object around its…

A:

Q: A cooling tower, such as the one shown in the figure, is a hyperbolic structure. Suppose its base…

A: Let the tower be a hyperbola centered at the origin as shown in the figure. Since the lowest…

Q: Find an equation for the sphere centered at (1,-5, 4) with radius 4.

A:

Q: An arch is in the form of a semi-ellipse that has a span of 250 ft and with the greatest height of…

A: The equation of an ellipse is x2a2+y2b2=1. Here, 2a is the length of the major axis, and 2b is the…

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: What is the relation of the conic section to the oblong plate?

A: Key Points A conic section (or simply conic) is a curve obtained as the intersection of the surface…

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Here we have to calculate the height of cable

Q: A rod of given length (a+b) unit moves so that its ends are always on coordinates. Prove that the…

A: The two ends of the rod is always on coordinate axes. Let's take one end P of the rod is always on X…

Q: Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point?

A: The distance of a point from the yz-plane is given by the x coordinate of the point. Because, the x…

Q: What are the parametric equations for an ellipse centered at the origin with a major axis of length…

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Given information: The cables touch the road surface at the center of the bridge, Then image a graph…

Q: Find the orthogonal trajectories for the family of ellipses with centers at the origin and…

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: The general equation for a parabola is given as, y=kx2 Let the x-axis represents the road surface…

Q: The cables of a horizontal suspension bridge are supported from two towers 40 ft high and 150 ft…

A:

Q: The shape of the cable in a suspension bridge is parabolic when it is suspended between two towers…

A:

Q: Given a sphere in center-radius form, how will you get an equation tangent to only one of the…

A:

Q: The reflector of a searchlight is in the shape of a paraboloid of revolution. Its diameter is 16…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Give some typical parametrizations for lines, circles, parabolas, ellipses, and hyperbolas. How…

A: The equation of the line is in the form of ax+by=c. The parametric equation for the lines are as,…

Q: man at point A on the shore of a circular lake of radius 1 km wants to reach point B on the shore…

A:

Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

Q: satellite dish shaped like a paraboloid, has a diameter 2.4ft and depth 0.9ft. If the receiver is…

A:

Q: A satellite dish has a shape called paraboloid, where each cross section is parabola. Since the…

A:

Q: The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two towers…

A: Given:The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two…

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A: 3x2-7y2=z On simplification, we get ⇒z=x213-y217⇒z=x2132-y2172⇒z=x132-y172

Q: Find the equation of the sphere of radius at centered at (1, 4, 5)

A:

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A:

Q: How might the parametrized curve differ from the graph of its Cartesian equation?

A: Graph: In Cartesian equation you represent curve as a direct relationship between x, y coordinates.…

Q: Regarding the orbit of the planet Mercury, we know, according to the National Encyclopedia, that it…

A: Given information: The minimum distance to the sun is 0.31 AU and that the maximum distance is 0.47…

Q: Two children weighing 16 and 24 kilograms are sitting on opposite sides of a seesaw, both 2 meters…

A: Given,           Two children weighing 16 and 24 kilograms are sitting on opposite sides of a…

Q: Find the coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: A mirror for a reflecting telescope has the shape of a finite paraboloid of diameter 0.3 meters and…

A: Equation of a circular paraboloid  f=r24d here, f= focal length along the axis of symmetry from the…

Q: (a) Where does the normal line to the ellipse x2- x   y + y 2 = 3 at the point (1, -1) intersect the…

A:

Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: Given

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A:

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

Q: The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0…

A:

Q: Find the length of the arc of the curve 9y2 = 4x³ from the origin to the point (4, ). %3D

A:

Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

Q: A suspension bridge with weight uniformily distributed along its length has twin towers that extend…

A:

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.