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Do online calculus problem solvers work?

Many online math problem solvers are capable of computing the correct answers to calculus problems, but user input errors often lead people to believe that the tools are not accurate. Wolfram Alpha, for example, can solve calculus problems accurately, but a misplaced set of parentheses or an incorrect operational command can lead the program to compute the answer to a different problem entirely.

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How many diagonals does an octagon have?

The formula for finding the diagonals of a polygon with n-sides is n(n-3)/2. In the case of an octagon, n equals eight, and so the equation would be 8(8-3)/2.\nA diagonal is the line that connects two vertices, or points where two sides connect. These lines can be used to divide a segment into pieces evenly and can help mathematicians better understand the way that various shapes work. Diagonals can also be used in reverse to help determine the sides of a particular shape. When drawing diagonals to a shape, the lines will never be on the same plane as the sides. The diagonals will never align ..

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What are some real-life examples of polynomials?

If a 5,800-square-meter piece of land has a width that’s 15 m wider than its length, it’s possible to calculate its length and width by expressing the problem as a polynomial. Since the area of a rectangle is given by L x W, L (L+15) = 5800. Further manipulation gives L squared + 15L – 5800 = 0. On factoring, the equation becomes (L-80) (L+95) = 0. Thus, L+95 = 0 or L-80 = 0. Since length can’t be negative, L= 80m is the correct length for the piece of land.\nIf an operator reduces the bus fare by $0.25 for every additional passenger he gets, he has to figure out the point to stop doin..

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Are decimals integers?

Decimal fractions have denominators that are 10 or a power of 10. For example, the decimal 4.75 is not a whole number because it means four and 75/100. Since it is not a whole number, it is not an integer. However, decimals do belong to the set of rational numbers, which in addition to decimals also includes fractions and integers.

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What is square to plane as cube is to?

The terms "square" and "cube" are occasionally used interchangeably, but in reality, they refer to mathematical objects of different dimensions. Two-dimensional objects like squares have the dimensions length and width, but not height. Three-dimensional objects like cubes have length and width as well as height. Whereas two-dimensional objects have only surface area as a measure of size, three-dimensional objects have surface area and volume.

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What are the rules for rounding in math?

Rounding is useful in academic mathematics courses as well as in practical situations in real life. For example if an item costs $1.99 and another item costs $2.49, it is beneficial to estimate their respective costs as $2.00 and $2.50, especially when keeping track of a fixed amount of money available to make purchases.

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What is the standard form of a parabola?

The given point is on the axis of symmetry, which is the vertical line that has exactly half of the parabola on either side; it has the equation x = -b/2a. In the standard form of the equation, "a" determines whether the parabola opens up or down. If a > 0 the parabola opens up, and if a < 0 it opens down. If b = 0, then "c" is the shift of the parabola up or down from the x-axis.

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How many million are there in a billion?

It is very difficult to comprehend the sheer volume that large numbers represent. For example, a person bringing home a $40,000 annual salary would earn $1 million in 25 years, $1 billion in 25 thousand years and $1 trillion in 25 million years. With a United States population of 305 million people, each person would have to contribute $3,280 to make a combined total of $1 trillion.

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Are all integers rational numbers?

An integer is any whole number regardless of whether it is positive, negative or zero. A rational number is considered a ratio or division of two different integers. Any integer can be expressed in the form a/b, where "a" and "b" are integers. The rational representation of any integer "n" can be described as n/1, because any real number divided by 1 is equal to itself.

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How do you find the surface area of a rectangular prism?

Calculate the width of one faceMeasure the lengths of any two edges that come together at one corner. Multiply them together to get the surface area of the face that is common to those two edges.Calculate the width of a second face sharing a common edge with the firstMeasure the length of the third edge coming from that corner, and multiply it by either of the previously measured edges. The answer is the surface area of the face that is common to those two edges.Calculate the width of a third face sharing a common corner with the first twoMultiply the length of the edge measured in the previou..

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