Calculus

A:

A Pythagorean triple is a set of three positive integers, (a, b, c), such that a right triangle can be formed with the legs a and b and the hypotenuse c. The most common Pythagorean triples are (3, 4, 5), (5, 12, 13), (8, 15, 17) and (7, 24, 25).

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  • How is calculus used in medicine?

    Q: How is calculus used in medicine?

    A: According to class notes from Bunker Hill Community College, calculus is often used in medicine in the field of pharmacology to determine the best dosage of a drug that is administered and its rate of dissolving. Usually, the drug is slowly dissolved in the stomach.
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  • How is the class midpoint calculated?

    Q: How is the class midpoint calculated?

    A: The class midpoint, or class mark, is calculated by adding the lower and upper limits of the class and dividing by two. The class midpoint is sometimes used as a representation of the entire class.
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  • What is a nonlinear function in math?

    Q: What is a nonlinear function in math?

    A: A nonlinear function in math creates a graph that is not a straight line, according to Columbia University. Three nonlinear functions commonly used in business applications include exponential functions, parabolic functions and demand functions. Quadratic functions are common nonlinear equations that form parabolas on a two-dimensional graph.
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  • How many millimeters equal 1 meter?

    Q: How many millimeters equal 1 meter?

    A: One thousand millimeters is equal to 1 meter. The meter is the standard unit of length in the International System of Units, also known as the metric system. "Metre" is the standard spelling for all English-speaking countries except the United States. "Meter" is the accepted U.S. spelling.
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  • How are logarithms used in the world?

    Q: How are logarithms used in the world?

    A: A few examples of how logarithms are used in the real world include measuring the magnitude of earthquakes or the intensity of sound and determining acidity. A logarithm explains how many times a number is multiplied to a power to reach another number. It is expressed as loge(x) and is commonly written as ln(x).
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  • How do you calculate the midpoint Riemann sum?

    Q: How do you calculate the midpoint Riemann sum?

    A: A Riemann sum is a method of approximating the area under the curve of a function. It adds together a series of values taken at different points of that function and multiplies them by the intervals between points. The midpoint Riemann sum uses the x-value in the middle of each of the intervals.
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  • What are the meanings of "sin", "cos", "tan", "csc", "sec" and "cot"?

    Q: What are the meanings of "sin", "cos", "tan", "csc", "sec" and "cot"?

    A: The abbreviations "sin," "cos," "tan," "csc," "sec" and "cot" stand for the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. Each function represents a particular relationship between the measure of one of the angles and the ratio between two sides of a right triangle.
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  • What is the precise definition of a limit in calculus?

    Q: What is the precise definition of a limit in calculus?

    A: The definition of a limit in calculus is the value that a function gets close to but never surpasses as the input changes. Limits are one of the most important aspects of calculus, and they are used to determine continuity and the values of functions in a graphical sense.
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  • How do you calculate bulk density?

    Q: How do you calculate bulk density?

    A: To calculate bulk density, simply weigh the sample and divide its mass by its volume. Bulk density is commonly used when referring to solid mixtures like soil. Just like particle density, bulk density is also measured in mass per volume.
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  • What are some common Pythagorean triples?

    Q: What are some common Pythagorean triples?

    A: A Pythagorean triple is a set of three positive integers, (a, b, c), such that a right triangle can be formed with the legs a and b and the hypotenuse c. The most common Pythagorean triples are (3, 4, 5), (5, 12, 13), (8, 15, 17) and (7, 24, 25).
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  • Q: What is the derivative of secant squared?

    A: The derivative of the function secant squared of x is d/dx(sec^2(x)) = 2sec^2(x)tan(x). This derivative is obtained by applying the chain rule of differentiation and simplifying the result.
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  • What is a linear function?

    Q: What is a linear function?

    A: A linear function is a function whose graph is a line in the plane. The characteristic property of these functions is that when the value of the input variable is changed, the change in the output is a constant multiple of the change in the input variable.
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  • Q: How can you teach yourself calculus?

    A: To learn calculus outside of a classroom, develop a plan or a schedule to follow. Gather all the materials that you will need, both in print and online. Finally, stick to the schedule.
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  • Q: Is calculus hard?

    A: Calculus is hard, and the level of difficulty depends on the individual student. A student who is not well-versed in the prerequisites for calculus may find the subject more difficult than someone who has strong mathematical preparation.
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  • Q: What is the antiderivative of sec(x)?

    A: The antiderivative of sec(x) is equal to ln |sec(x) + tan(x)| + C, where C represents a constant. This antiderivative, also known as an integral, can be solved by using the integration technique known as substitution.
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  • Q: What is taught in the Math 180 UIC class?

    A: University of Illinois at Chicago's Math 180 class covers Calculus I. The course is a requirement to earn a Bachelor of Science degree in mathematics, the teaching of mathematics or mathematics and computer science. It is also required for minor degrees in mathematics or mathematics and computer science.
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  • Q: How do you calculate antilog?

    A: Calculating the antilog of a number is the inverse of calculating the logarithm of a number. One is capable of determining the base "b" antilog of a number "x" by calculating the value b^x, or b to the power of x.
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  • What is the mean absolute deviation formula?

    Q: What is the mean absolute deviation formula?

    A: The mean absolute deviation formula is Σ|x - μ| / N. The symbol Σ is used to denote the sum of a series of numbers, while μ represents the mean, x represents each value and N represents the total number of values. The formula takes the absolute value of the difference between a value and the mean and divides it by the number of values.
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  • Q: What is relative extrema?

    A: Relative extrema is a term used in calculus to describe points on the graph of a function where there are minimums and maximums. It can be visualized as representing the peaks and valleys on a line graph.
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  • What is the midpoint rule in calculus?

    Q: What is the midpoint rule in calculus?

    A: The midpoint rule of calculus is a method for approximating the value of the area under the graph during numerical integration. This is one of several rules used for approximation during numerical integration.
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  • What is latent function?

    Q: What is latent function?

    A: A latent function is an unintended or unrecognized consequence of an institution or social phenomenon. Unexpected negative consequences are typically called latent dysfunctions. School, for example, has the explicit, or manifest, function of educating individuals, but a latent function of teaching students about navigating social structures and relationships and keeping children off the streets for six to 10 hours a day.
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