Application of numerical integration and differentiation in real life
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This document discusses applications of numerical integration and differentiation in real life. Numerical integration was used in designing the PETRONAS Towers and Sydney Opera House. Historically, integration was used to find volumes of wine casks and other curved surfaces. Numerical differentiation is used in speedometers, odometers, and police radar guns to calculate speed and distance from tire rotations or time and distance measurements. Derivatives are also used in business to analyze profit and loss from graphed data.
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- 1. Application of Numerical Integration and differentiation in real life.
- 2. Academic Description Course Name: Numerical Methods Course Code: CSE234 Course Teacher Name: Mr. Omar Sharif Presenter Name: Md. Ashaf Uddaula ID: 161-15-7473 Section: P Level:2 Term:3
- 3. Application of Numerical Integration in real life Integration was used to design the PETRONAS Towers making it stronger. Many differential equations were used in the designing of the Sydney Opera House.
- 4. Application of Numerical Integration in real life Historically, one of the first uses of integration was in finding the volumes of wine-casks (which have a curved surface). Finding areas under curved surfaces, Centers of mass, displacement and Velocity, and fluid flow are other uses of integration.
- 5. Application of Numerical Differentiation in real life In an Automobile there is always an odometer and a speedometer. These two gauges work in tandem and allow the driver to determine his speed and his distance that he has traveled. Electronic versions of these gauges simply use derivatives to transform the data sent to the electronic motherboard from the tires to miles per Hour(MPH) and distance(KM).
- 6. Application of Numerical Differentiation in real life Keeping with the automobile theme from the previous slide , all police officers who use radar guns are actually taking advantage of the easy use of derivatives. When a radar gun is pointed and fired at your care on the highway. The gun is able to determine the time and distance at which the radar was able to hit a certain section of your vehicle. With the use of derivative it is able to calculate the speed at which the car was going and also report the distance that the car was from the radar gun.
- 7. Application of Numerical Differentiation in real life In the business world there are many applications for derivatives. One of the most important application is when the data has been charted on graph or data table such as excel. Once it has been input, the data can be graphed and with the applications of derivatives you can estimate the profit and loss point for certain ventures. The most common application of derivative is to analyze graphs of data that can be calculated from many different fields. Using derivative one is able to calculate the gradient at any point of a graph.
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