Examples of scientific calculator in the following topics:
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- For numerical calculations and graphing, scientific calculators and personal computers are commonly used in classes and laboratories.
- For numerical calculations and graphing, scientific calculators and personal computers are commonly used in classes and laboratories.
- A scientific calculator is a type of electronic calculator, usually but not always handheld, designed to calculate problems in science, engineering, and mathematics.
- In certain contexts such as higher education, scientific calculators have been superseded by graphing calculators , which offer a superset of scientific calculator functionality along with the ability to graph input data and write and store programs for the device.
- These days, scientific and graphing calculators are often replaced by personal computers or even by supercomputers.
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- They can be created with graphing calculators.
- Mathematica is an example of proprietary computational software program used in scientific, engineering, and mathematical fields and other areas of technical computing.
- A graphing calculator (see ) typically refers to a class of handheld scientific calculators that are capable of plotting graphs, solving simultaneous equations, and performing numerous other tasks with variables.
- Most popular graphing calculators are also programmable, allowing the user to create customized programs, typically for scientific/engineering and education applications.
- Some calculator manufacturers also offer computer software for emulating and working with handheld graphing calculators.
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- Volumes of complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary.
- The volumes of more complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary.
- of the constant function $1$ calculated on the cuboid itself.
- of the function $z = f(x, y) = 5$ calculated in the region $D$ in the $xy$-plane, which is the base of the cuboid.
- Calculate the volume of a shape by using the triple integral of the constant function 1
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- Shell integration (also called the shell method) is a means of calculating the volume of a solid of revolution when integrating perpendicular to the axis of revolution .
- Integration, as an accumulative process, can then calculate the integrated volume of a "family" of shells (a shell being the outer edge of a hollow cylinder), giving us the total volume.
- By adding the volumes of all these infinitely thin cylinders, we can calculate the volume of the solid formed by the revolution.
- Calculating volume using the shell method.
- Use shell integration to create a cylindrical shell and calculate the volume of a "solid of revolution" perpendicular to the axis of revolution.
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- Both exponential and logarithmic functions are widely used in scientific and engineering applications.
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- Area and arc length are calculated in polar coordinates by means of integration.
- Their length can be calculated with calculus.
- The area of the region $R$ can also be calculated by integration.
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- The rules of differentiation can simplify derivatives by eliminating the need for complicated limit calculations.
- This method becomes very complicated and is particularly error prone when doing calculations by hand.
- In many cases, complicated limit calculations by direct application of Newton's difference quotient can be avoided by using differentiation rules.
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- Arc length and speed in parametric equations can be calculated using integration and the Pythagorean theorem.
- In order to calculate the arc length, we use integration because it is an efficient way to add up a series of infinitesimal lengths.
- The arc length is calculated by laying out an infinite number of infinitesimal right triangles along the curve.
- Calculate arc length by integrating the speed of a moving object with respect to time
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- Defined integrals are used in many practical situations that require distance, area, and volume calculations.
- Definite integrals appear in many practical situations that require distance, area, and volume calculations.
- If you know the velocity $v(t) $ of an object as a function of time, you can simply integrate $v(t) $ over time to calculate the distance the object traveled.
- However, you can also use integrals to calculate length—for example, the length of an arc described by a function $y = f(x)$.
- Apply integration to calculate problems about the area under a graph, or the distance of an arc
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- However, diverse problems, sometimes originating in quite distinct scientific fields, may give rise to identical differential equations.