"Why do we study calculus,write its at least three applications"
Calculus is Latin for stone, and the ancient Romans used stones for counting and arithmetic. In its most basic sense, calculus is just that a form of counting. After advanced algebra and geometry, it is the next step in higher mathematics, and is used for solving complex problems that regular mathematics cannot complete.
Calculus is the mathematics of change, of calculating problems that are continually evolving. This is possible by breaking such problems into infinitesimal steps, solving each of those steps, and adding all the results. Rather than doing each step individually, calculus allows these computations to be done simultaneously.
Calculus is useful for solving non-linear equations. For example, say you were looking for the area inside a flat rectangle.
Calculus is deeply integrated in every branch of the physical sciences, such as physics and biology. 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. This page is designed to out line some of the applications of calculus and give you some idea of why calculus is so important and useful.
Calculus 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 we do have standard methods to calculate the area of some shapes, calculus allows us to do much more. 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.
Calculus is Latin for stone, and the ancient Romans used stones for counting and arithmetic. In its most basic sense, calculus is just that a form of counting. After advanced algebra and geometry, it is the next step in higher mathematics, and is used for solving complex problems that regular mathematics cannot complete.
Calculus is the mathematics of change, of calculating problems that are continually evolving. This is possible by breaking such problems into infinitesimal steps, solving each of those steps, and adding all the results. Rather than doing each step individually, calculus allows these computations to be done simultaneously.
Calculus is useful for solving non-linear equations. For example, say you were looking for the area inside a flat rectangle.
Calculus is deeply integrated in every branch of the physical sciences, such as physics and biology. 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. This page is designed to out line some of the applications of calculus and give you some idea of why calculus is so important and useful.
Calculus 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 we do have standard methods to calculate the area of some shapes, calculus allows us to do much more. 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.
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Calculus is a form of counting and used for complex problems e.g. non-linear equations and also useful to find high and low point’s of maxima and minima, slope, concavity and inflection points and also can be used to find approximate solutions to equations, in methods such as Newton’s method, fixed point iteration and linear approximation. The fundamental theorem of Calculus is one of the biggest achievements in the history of Calculus. This valuable theorem bestowed a new life to Calculus field. Everyone who want to find the area bounded by x=a, x=b, x-axis, must find it by doing some “limit of sum of delta(x).”We can use integral to find it. In economics, calculus allows for the determination of maximal profit by providing a way to easily calculate both marginal cost and marginal revenue.
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