Quadratic functions have their general form as the one shown below:
f(x) = a.x2 + b.x + c
Here we can see how quadratic functions are used in in the real world.
In the coordinate Geometry when this equation is plotted we get a parabola. And the shape, size and other dimensions are decided by the coefficients of the variables in the quadratic function i.e on a, b and c. And the solution of the equation in the general form is given by:
x = ( -b ± √(b2 - 4ac)) / (2a)
where discriminant d = (b2 - 4ac)
A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots
Quadratic Functions in the Real World- Physics and Maths
Quadratic Functions in Physics:
Projectile: A projectile is an object upon which the only force acting is gravity. A stone when thrown upwards with a velocity returns to ground after sometime. When the path of the projectile is traced it's a parabola. So when something is thrown up and allowed to fall down freely later we get the projective path as a parabola.
Basing on the properties of the parabola and the path traversed further observations are done for studying the body motion in physics.
The volcanic eruptions also generally follow the projectile motion since the hot fluid masses or the lava is pumped out with great velocities. So Quadratic equations also have a dominant role in estimating the safe zones in case of an eruptions and for further assistance and analysis.
Quadratic Functions in Maths:
Non-normal distributions in probability cover good applications of parabolas when plotted. The distribution plots mostly have their distribution curves as parabolas.
Other real life applications would be parabolic mirror, shape of a spillway for a dam and sound reflector.
Another application of a quadratic equation used in higher math and engineering, where a second-order differential equation is solved for a spring-damper system. This sounds scary but actually has real-world application. This example also shows how the "imaginary" number "i" is used in a real-world application. The fact that the exponent is ^2 while the inputs are ^1 indicates that it would solve perimeter vs area (fencing) problems, or bill of materials issues for tanks and containment etc.
Quadratic Functions in the Real World -networking
Quadratic Functions in Computers Networking
Quadratic equations are used considerably in computer networking. They're used for all sorts of error checking, as well as encryption. They're also used in the mathematics of Quality of Service (Qos), the concepts of understanding how to dynamically allocate and share bandwidth.
In this way we can have lot many Quadratic Functions in the real World.
f(x) = a.x2 + b.x + c
Here we can see how quadratic functions are used in in the real world.
In the coordinate Geometry when this equation is plotted we get a parabola. And the shape, size and other dimensions are decided by the coefficients of the variables in the quadratic function i.e on a, b and c. And the solution of the equation in the general form is given by:
x = ( -b ± √(b2 - 4ac)) / (2a)
where discriminant d = (b2 - 4ac)
A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots
Quadratic Functions in the Real World- Physics and Maths
Quadratic Functions in Physics:
Projectile: A projectile is an object upon which the only force acting is gravity. A stone when thrown upwards with a velocity returns to ground after sometime. When the path of the projectile is traced it's a parabola. So when something is thrown up and allowed to fall down freely later we get the projective path as a parabola.
Basing on the properties of the parabola and the path traversed further observations are done for studying the body motion in physics.
The volcanic eruptions also generally follow the projectile motion since the hot fluid masses or the lava is pumped out with great velocities. So Quadratic equations also have a dominant role in estimating the safe zones in case of an eruptions and for further assistance and analysis.
Quadratic Functions in Maths:
Non-normal distributions in probability cover good applications of parabolas when plotted. The distribution plots mostly have their distribution curves as parabolas.
Other real life applications would be parabolic mirror, shape of a spillway for a dam and sound reflector.
Another application of a quadratic equation used in higher math and engineering, where a second-order differential equation is solved for a spring-damper system. This sounds scary but actually has real-world application. This example also shows how the "imaginary" number "i" is used in a real-world application. The fact that the exponent is ^2 while the inputs are ^1 indicates that it would solve perimeter vs area (fencing) problems, or bill of materials issues for tanks and containment etc.
Quadratic Functions in the Real World -networking
Quadratic Functions in Computers Networking
Quadratic equations are used considerably in computer networking. They're used for all sorts of error checking, as well as encryption. They're also used in the mathematics of Quality of Service (Qos), the concepts of understanding how to dynamically allocate and share bandwidth.
In this way we can have lot many Quadratic Functions in the real World.
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