Question

Good day. Hi I'm Joshua James A. Bravante taking up Bachelor of Science in Mathematics minor in Statistic second year student in Southern Luzon State University Lucban, Quezon Philippines. I have a project that in one of my subject that i need to change an idea in particular topic in my subject Mathematical Analysis III . I choose application of conic section. thank you very much.

Answer 1

A conic section is a two dimensional figure created by the intersection of a plane and right circular cone. All conics can be written in terms of the following equation: Ax2 + Bxy + Cy2 + Dx + Ey + f = 0

Answer 2

when the plane does intersect the vertex of the cone, the resulting conic is called a degenerate conic.

Answer 3

degenerate conics include a point, a line, and two intersecting line.

Answer 4

I have been wondering for some time, what does the xy term do?

Answer 5

to represent the xy axis. xy is use particularly in three dimensional

Answer 6

lets talk first and exchange our idea about parabola then lets proceed to the application of it. A parabola is the set of all points equidistant from a line. the line and a fixed point on the parabola is called the focus. The point on the parabola halfway between the focus and the directrix is the vertex,. The line containing the focus and the vertex is the axis. A parabola is symmetric wit respect to its axis.

Answer 7

can someone help me for my project, we need to exchange our idea in the application of the conic section.

Answer 8

parabola has the standard position x2 = 4cy , c> 0

Answer 9

one of the application of parabola

Heaters are sold which make use of the relection property of the parabola.
The heat source is at the focus and heat is concentrated in parallel rays.

Answer 10

An automobile headlight is another example of a Paraboloid of Revolution --
taking a parabola and rotating it about its axis of symmetry.
The smooth inner surface of the headlight is a glass reflector upon which
bright aluminum has been deposited. This part is a powerful reflector.

A parabolic reflector has the property that if a light source is placed at the
focus of the reflector, the light rays will reflect from the mirror as rays
parallel to the axis.
This is used in auto headlights to give an intense concentrated beam of light.

Answer 11

For safer night driving, we do not want all the light rays to be parallel
to the axis. Some light must be aimed far down the road, to the side, upward
for signs or bridges.
So we offset the filament from the focus and change the beam entirely.
In most of today's cars, a 4 Lamp System is used -- 2 filament sealed beam
units in 2 lamps.
The position of the filaments accomplishes most of the desired illumnination
patterns. The rest is taken care of by special lenses which contain prisms
to bend the light rays.

Answer 12

Parabola exhibit unusual and useful reflective properties. if a light is placed at the focus of a parabolic mirror ( a curved surface formed by rotating a parabola about its axis. in this way a straight beam of light is formed. It is for this reason that parabolic surfaces are used for headlamp reflector. The bulb is placed at the focus for the low beam.

Answer 13

McDonald's Arches
McDonald's Arches are parabolas.

Fountains
Bellagio's fountains at Las Vegas exhibit water in the shapes of parabolas.

Path of a Ball
Gallileo was the first to show that the path of an object thrown in space is a parabola.

Golden Gate Bridge
The cables that act as suspension are parabolas.

Answer 14

Le Four Solaire at Font-Romeur

There is a reflector in the Pyrenees Mountains that is 8 stories high.
It cost two million dollars to build and it took ten years to build it.
It is made of 9,000 mirrors arranged in a parabolic mirror.
It can reach 6,000 degrees Fahrenheit just from the Sun!

Answer 15

Parabolic mirror
A parabolic mirror at the Seattle Science Museum.

Answer 16

Parabolic Receivers

A person who whispers at the focus of one of the parabolic reflectors
can be heard by a person located near the focus of the other parabola.

Answer 17

Real world applications and problems of parabola.
Below is a picture of a rainbow that makes a perfect parabola. What is the vetex of the parabola?
Vertex of parabola is (0,40)
For the helicopter to fly above the rainbow parabola, how high must the copter fly? (In other words what is the maximum value of the parabola)
The helicopter must be above 40.

Answer 18

thank you very much for sharing your ideas

Answer 19

i believe alot of the arches you see in the world are actually caternarys