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What is the integral of sin^2?

Sine squared can be integrated using the half-angle integration technique. According to the half-angle rule, the sine squared of x is equal to one-half minus one-half of the cosine of 2x. The half-angle formula is considered a sum formula in calculus, as is the double angle formula used to find the integral of cosine squared. The half-angle formula makes use of the Pythagorean Theorem.

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What is the arithmetic sum formula?

In mathematics, such a series of numbers is called an arithmetic progression. There are two types of progressions or series. The other progression is called a geometric progression.\nFor instance, the series of numbers 5, 10, 15, 20, 25 and 30 form an arithmetic progression. Here, the first term is five and the common difference is also five. The sum of the first six terms can be obtained as follows.\nSn = n/2 {2a + (n-1) d}\n= 6/2 x {2x5+ (6-1) (5)}\n= 3 x {10 + (6-1) (5)}\n= 3 x 35\n= 105

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Where can you find free online Venn diagram templates?

Classtools.net and SoftSchools.com allow the user to create an online Venn diagram by choosing the number of circles and inputting the necessary information. Classtools.net provides a full-page template with room for a title, factors and notes about the diagram. SoftSchool.com has the user choose the desired number of circles, a title and a subtitle. The user creates a Venn diagram by dragging and dropping circles of various colors into a template. Education World does not have interactive templates, but it offers downloadable and printable templates of diagrams of up to four circles.

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What is a constant in math?

For example, in the equation "6x - 4 = 8," both 4 and 8 are constants because their values are fixed. In the equation "7x2 - 3x + 6," the number 6 is a constant, whereas 7 is the multiplying coefficient and\n"x" is referred to as the variable, not known until the equation is solved. The operator (such as "+" or "-") illustrates the function performed to satisfy or solve the equation.

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How do you use the quadratic formula?

Write down the equationWrite down the equation and the problem being solved.\n\nax2 + bx + c = 0\nx = [ -b ± sqrt(b2 - 4ac) ] / 2a for the problem x2 + 3x - 9 = 0\n\n\nFill in known variablesThe next step is filling in all of the known variables, which are a, b and c. The variables a, b and c are the coefficients of each respective term. In the example x2 + 3x - 9 = 0, a equals 1, b equals 3, and c equals -9. In quadratic form, that looks like: x = [ -3 ± sqrt(32 - 4(1)(-9)] / 2(1).Start solving Use the order of operations: parentheses, exponents, multiplication, division, addition and subtr..

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What is a cube root function?

The cube root function is usually written with a 3 to the left of the radical sign, which is the symbol used for roots. It can also be expressed by taking a number or function to the exponent 1/3. Unlike the square root function, which can only find a real number root for positive numbers, the cube root function can find a real root for all real numbers except for zero.

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What nine-digit number can be divided by 2, 3, 4, 5, 6, 8, 9 and 10?

Other nine-digit numbers divisible by the above list of factors include 340,122,240 and 265,420,800. These numbers are found by first multiplying all of the factors together to get 518,400. This number is then multiplied by one or more of the factors. The multiplication by additional factors is repeated until the resulting product is greater than 99,000,000 and contains nine digits.

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Are printable blank grids available online?

While many online sources of printable grids and graph paper have a small assortment of pre-made documents to choose from, most have the ability to generate printable grids according to user-defined specifications. Both pre-made and generated grids are most commonly found in the form of downloadable .pdf files that require the appropriate software to view and print.

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How do you add mixed fractions?

Convert the mixed fractions into improper fractionsAn improper fraction is one where the numerator, or upper number, is larger than the denominator, or lower number. To convert a mixed fraction to an improper fraction, multiply the denominator by the whole number. Then add the numerator. This value becomes the new numerator, with the denominator remaining the same. Do this to all the mixed fractions being added together.Convert all improper fractions so that the denominators are equalIn order to add fractions together, the denominators need to be the same. Do this by finding a common multiple ..

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What is the multivariable chain rule?

For example, the equation y = sin(10x) can be solved using the multivariable chain rule by substituting w for 10x. After the substitution, the equation can be written as y(w(x))=sin(w(x)). Using the chain rule to solve this equation results in (dsin(w)/dw) * (dw/dx). The equation can then be further simplified to cos(w)*10 = 10cos(10x).

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