help me with some real life applications for line, parabola, Hyperbola and Exponential Plzzzzzzz?

Answer 1

Artillery range finding may be based on the intersection of two hyperbolas. The Long range navigation system LORAN is used to locate ships at sea and is based on radio signals located at the foci of hyperbolas. The orbits of some comets are hyperbolas. The graphic representation of Boyle's law for gases is an equilateral hyperbola. Indicator diagrams for the horsepower of an engine contain arcs of hyperbolas.

Parabolic reflectors are use in flashlights and lighthouses to provide a focused beam of light. Conversely, light rays parallel to the parabola's axis, received at the parabolic reflector will be concentrated at the focus, giving a concentrated image. This is used in reflecting astronomical telescopes.

Exponential functions pop up everywhere. The rate of change of atmospheric pressure p at any height h is proportional to the pressure at that height. Newton's law of cooling is exponential as is certain chemical reactions, and the charge and discharge of current in a capacitor. There are many, many more examples.

The line is used constantly to draw schematics, blueprints, mathematical models, etc.

Answer 2

math has much greater application in life than most people realize. for example, architects need to know the slope to build a staircase at the certain angle or the idea of perpendicular lines to build a straight wall. did you know that if you threw a ball into the air, its path to the ground is a parabola? math is all around you. so just give it a thought, and i am sure you will come up with some great examples.

Answer 3

An object that is shot out of a cannon follows a parabolic path; an object that passes very close to the sun but is not gravitationally captured follows a hyperbolic path; the density of air falls off exponentially as you climb in altitude.