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Why do you study calculus write its at least five applications?
Integral calculus allows you to determine area under a curve, something that in probability, statistics, and physics finds very important.Calculus is important because of some of the key concepts of integration and differentiation and the countless applications they have, but also the new ideas, and new ways of looking at things.First me have to say that "Calculus" is that branch which deals with the integral calculus e.g. calculation area under the curve and the deferential calculus that deals with the motion calculation, and that all are the part of our practical life. Calculus is deeply integrated with the physical science and such as physics and Bio science, so now we can say that it is more important in every aspects of life some of them we'll here discuss.It is found in computer science, statistics, and engineering; in economics, business, and medicine. Modern developments such as architecture, aviation, and other technologies all make use of what calculus can offer. Graph visualization are also based on that, we can easily graph the function with the help of it. Finding average of function one example is the path of an airplane. Using calculus you can calculate its average cruising altitude, velocity and acceleration.Calculus is a very versatile and valuable tool. It is a form of mathematics which was developed from algebra and geometry. It is made up of two interconnected topics, differential calculus and integral calculus. Finding the Slope of a CurveCalculus can give us a generalized method of finding the slope of a curve. The slope of a line is fairly elementary, using some basic algebra it can be found. Although when we are dealing with a curve it is a different story. Calculus allows us to find out how steeply a curve will tilt at any given time. This can be very useful in any area of study· . Calculate Complicated X-interceptsWithout an idea like the Intermediate Value Theorem it would be exceptionally hard to find or even know that a root existed in some functions. Using Newton's Method you can also calculate an irrational root to any degree of accuracy, something your calculator would not be able to tell you if it wasn't for calculus.· Visualizing GraphsUsing calculus you can practically graph any function or equation you would like. In fact you can find out the maximum and minimum values, where it increases and decreases and much more without even graphing a point, all using calculus.· A function can represent many things. One example is the path of an airplane. Using calculus you can calculate its average cruising altitude, velocity and acceleration. Same goes for a car, bus, or anything else that moves along a path. Now what would you do without a speedometer on your car?· Calculating Optimal ValuesBy using the optimization of functions in just a few steps you can answer very practical and useful questions such as: "You have square piece of cardboard, with sides 1 meter in length. Using that piece of card board, you can make a box, what are the dimensions of a box containing the maximal volume?" These types of problems are a wonderful result of what calculus can do for us.· Physics makes particular use of calculus; all concepts in classical mechanics and electromagnetism are interrelated through calculus. The mass of an object of known density, the moment of inertia of objects, as well as the total energy of an object within a conservative field can be found by the use of calculusSo at the end that branch cover a lot of area of our practical life to overcome them we'd have good knowledge of it.
Why is calculus interesting?
Calculus is interesting because it is incredible that human intelligence has discovered a way to solve a problem using a formula that can be repeated. Calculus is not necessarily about the numbers, but about the fact that we can apply rules and theories to numbers in a variety of situations.
What type of object could you best measure using calculus?
Finding the volume of many odd shapes is only possible with integral calculus. Google " volume of revolution. "
What Example problems using calculus?
You can find LOTS of problems, often with solution, by a simple Google search, for example, for "calculus problems". Here is the first hit I got:https://www.math.ucdavis.edu/~kouba/ProblemsList.html
Why is calculus so hard?
Calculus in itself is not hard, it is usually remembering the algebra and previous math classes that is hard. New concepts are introduced in Calculus, but isn't it the same with any new subject? For example, many problems in integration, the actual calculus is not the hard part, it is using all of the algebra and other concepts you have used your whole life to simplify the problem so it is easy to solve.
