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What is a polynomial function?

Polynomial functions contain a degree that is equal to the greatest exponent on any single monomial. For the polynomial function F(x) = 4*x2 + 18, the degree is equal to the exponent 2. Polynomials can be solved for their root(s), which is the one or more values of the variable that cause the overall function to be equal to 0.

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How did Isaac Newton invent calculus?

Newton's development of calculus may have grown out of his need to explain the acceleration of falling bodies. He knew that the speed of a falling object increases by a tiny amount every split second that it falls. Average acceleration was easy to calculate, but there was no mathematical process available for describing the position or velocity of the object at any given point in time. Calculus gave him a way of describing not only derivative functions like the rate of change over time but also the curved motion caused by the force of gravity, which allowed him to explain the elliptical m..

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How many square feet are in a room measuring 10 feet by 16 feet?

Rooms that have more exotic shapes have different formulas for determining the number of square feet they contain. Most often these spaces are broken down into simpler shapes to find their total area. For example, the floor plan of an eight-sided room may be broken up into four triangles and one central rectangle to determine its total square footage with ease.

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What is the way to type the squared symbol?

In either Microsoft Word 2003 or 2007 edition, a way to write a mathematical term like x2 is to use the Microsoft equation tool. By clicking on the "Insert" tab and then the "pi" symbol with the word "equation" beneath it, the equation tools should be displayed. Clicking on the script tab will display rows of symbols and tabs. Click on the "Script" tab and click on the x squared symbol listed under "Common Subscripts and Superscripts."An alternative method is to use the "Design" tab instead of the "Insert" tab to access the equation tools.

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What is a misleading statistic?

Misleading statistics can also result from unfair poll questions, such as those that "fish" for a particular answer. Averages may also be misleading if a number of outliers are used; this tactic can bring the average up or down depending on what result is sought. Statistics are notorious for being misused, and people must analyze them to ensure they are not used in a misleading manner.

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What does a production possibilities curve show?

The production possibilities curve model assumes a simplified economy with a fixed amount of production technology and limited raw materials and labor, which is basically true of all economies under a very short time horizon. This model also assumes that the economy can only produce two types of goods. In the model, the quantity of the two goods produced are plotted on a graph.\nUtilizing all of the economy’s resources to produce the first commodity results in a limited quantity of goods, say 100 units. Utilizing all of the economy’s resources to produce the second commodity also results i..

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What does "order of operations" mean?

Calculations should be completed from left to right in the problem. The correct order of operations to use in a mathematical problem involves doing the calculations in parentheses first and those with exponents second, followed by those requiring multiplication and division in the order in which they occur in the problem and, finally, those with addition and subtraction in the order in which they occur. The acronym PEMDAS serves as a reminder of the order of operations.

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What are the properties of cosine?

Cosine is always a real number, which means it can be represented on a number line. The cosine function is also always a continuous number, which implies that it can consist of decimals, rational numbers or irrational numbers. The cosine value of zero is one.\nBecause cosine is an even function, cos(-p) is always equal to cos(p). The other primary property of the cosine function is that it is periodic in nature with a period of 2p. Mathematically, this means that cos(z) = cos(z + 2p). The limit of the cosine function ranges from -1 to 1.\nThe cosine function is positive in the first and the f..

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How to calculate the length of a curved line?

Differentiate the functionFor example, if the function given is y = (x - 1)^(3 / 2), the derivative is (dy / dx) = (3 / 2) * (x - 1)^(1 / 2).Plug the equation into the arc length formulaThe arc length formula is L = |(a..b) sqrt(1 + (dy / dx)^2) dx. Assuming the length to be analyzed ranges from x = 1 to x = 5, the given function, when plugged into this formula and simplified, looks like this: L = |(1..5) ((9 / 4)x - (5 / 4))^(1 / 2) dx.Integrate the formulaIntegrating the formula determines the arc length: L = ((4 / 9) * (2 / 3) * ((9 / 4)x - (5 / 4))^(3 / 2)) | (1..5) = (1 / 27) * sqrt(40)^3..

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What is the difference of 9 and the quotient of a number T and 6 which equals 5?

The difference between 9 and 30 is either 9 - 30 = -21 or 30 - 9 = 21. The difference refers to the result of the subtraction function. Since the question does not specify whether 9 is subtracted from T or whether T is subtracted from 9, both solutions are possible. The quotient refers to the result of a division problem.

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