The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely resemble parabolas. The left side of the arch is close to parabolic in shape all the way to the floor. On the righ side of the arch, it is parabolic in shape until 2.09 meters from the floor. Then the arch drops vertically at this point. The equation of the parabola that closely models these arches is 17 (y - 2.96) 2, where x and y are measured in meters. %3D 100 How tall is the arch? meters How wide is the floor? meters

Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: You told me that an ellipse centered at the origin has vertices at (-5, 0) and (5, 0), so I was able…

A: Given, vertices -5,0, (5,0) we know the equation of ellips is: x2a2+y2b2=1 if we draw the graph of…

Q: b)(y-4)^2=-12(y-2)

A: b) Given equation of parabola is: (y-4)2=-12(x-2) 4a = 12 a = 3 Therefore we get, The vertex of the…

Q: How do I write an equation for a hyperbola that looks like this?

A: Hyperbola equation..

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: John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to…

A:

Q: How can we tell from the equation if the ellipse will have a major axis that is parallel to the…

A: our objective is to describe.

Q: Explain how to decide whether a parabola opens upward or downward.

A:

Q: Adjust the equations to create three different parabolas that pass through the points.

A:

Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

Q: what is the tallest truck that can pas

A: Given , Height= 15 feet, Width- 40 feet, Truck width= 12 feet.

Q: Determine whether statement, "Find the standard form of the equation of an ellipse with vertices at…

A: Vertices of the ellipse are 0, -6 & 0, 6 and it passes through the point 2, -4. Since the…

Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

A:

Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

A:

Q: write in standard(vertex) form the equation for the parabola which has the following properties:…

A: Given, Parabola equation has zeros at x=1 and x=7. Maximum value = 12 The standard form of the…

Q: Construct an ellipse having length of major axes and minor axes equal to 12 cm and 9 cm…

A: Given: major axes=2a=12  cmminor axes=2b=9  cm

Q: a racetrack is in the shape of an ellipse 100 feet long and 90 feet wide what is the width 10 feet…

A:

Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse

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.