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Numerical Analysis and Simulation

The study of algorithms for problems related to continuous mathematics

818 Questions

What is the area of the base of the cylinder with the diameter of 8?

Diameter is 8, hence radius is 4

the base of a cylinder is also a circle. so we take the formula for area of a circle which isπr2

3.14 x (4)2= 3.14x 16= 50.24

How many different triangles exist so that any side-length is less than 4 units long and the sum of all three sides is equal to 5?

Let's ignore 'triangles' with sides of length zero. I assume that you mean triangles with sides of whole-number length; otherwise, the possibilities are infinite.

The sides have to add to five. There are only two ways of doing this:

1 + 1 + 3

1 + 2 + 2

Both of these possibilities satisfy the other constraint mentioned in the question.

How do you determine the optimum number of CNG refueling stations?

That will and has been determined by the market. If there is no demand, there will be no stations. EX: By government intervention one was opened in my area about 15 years ago. (There was some federal funding to get it started.) But in less than 5 years it was closed due to lack of use. This will be determined by demand. If more CNG vehicles are sold to something other than governmental operations, then some company will respond by installing them to make a profit.

What is the value of relative error if the absolute error is 10?

The relative error depends on the true value of the measurement. That information has not been provided.

What is the sequence to 2 9 5 13 10 19 17?

This is a two-phase sequence.

Add a number - start with 7 and increase by 1 at each addition.

Subtract a number - start with 4 and decrease by 1 at each subtraction.

2 + 7 = 9

................9 - 4 = 5

5 + 8 = 13

...............13 - 3 = 10

10 + 9 = 19

...............19 - 2 = 17

17 + 10 = 27

...............27 - 1 = 26

What is a multiplicative especially as it relates to a multiplicative inverse?

Multiplicative means pertaing or related to the mathematical opration known as multiplication.

HOW you can simulat the poisson random measure?

A simple way of generating poisson random numbers is given by Knuth, in his book "The Art of Computer Programming" in the chapter on Seminumerical Algorithms. I can't quote it directly here, due to copyright and plagarism limitations, but the Related Link below contains a reference to it.

How do you determine the decimal number in the binary system?

It's a bit like long division. The site that I linked below has a good explanation. You can also use specialty calculators, or the programming mode of the Windows calculator.

If the true value is 21.751 grams what is the absolute error and the percent error?

In order to determine the absolute error of this you would have to have a measurement or an estimate of whatever this object is. at which point you would take the difference between the two.

For example: 21.571 is the True value 20.000 is the Recorded Value.

Thus: (True value) - (Recorded Value) = Absolute error (21.571) - (20.000) = 1.571

To determine the Percent value, applying the skills learned above, it is represented by the following equation

(Recorded value - True value) / True value*100%

(20.000 - 21.571) / 21.751*100% = -7.28%

It is possible to have multiple points of absolute error for instance. If you have 3 measurements one above the true value, the true value, and one below the true value. (e.g 20, 21.571, 22.571) can be represented as +/- 1.571g

Can a set be infinity large?

Yes, a set can be infinitely large. For instance, the set of all odd integers is infinitely large.

What is 123.7 x 123.7 x 138.4 calculated as feet and inches?

There is insufficient information in the question to properly answer it. You did not specify the units of the three constants 123.7, 123.7, and 138.4. Please restate the question.

How many cars long is 882ft and 9inches?

The answer depends on the lengths of individual cars which varies from model to model.

The number system decimal evolved because?

Perhaps the ancient men counted on fingers. If we got 6 fingers per hand, many things would be easier - since we have 12 months in year, 12 hours on clock, 12 semitones in musical scale, division of 12 can be done more ways than ten (we can divide 12 in 2,3,4,6 without rest) etc.