Numerical Analysis and Simulation

You need to know the lengths of a few sides, but check out the link for clear calculations.

Ideally, quadratic. Please see the link.

A conditional statement is much like the transitive property in geometry, meaning if:

P>Q and ~N>P then you can conclude: if ~N>Q

The Fourier transfer of the signum function, sgn(t) is 2/(iω), where ω is the angular frequency (2πf), and i is the imaginary number.

necessity of linear programming on organization.

2,75,00,000 27,500,000

55.3

Very often because no analytical solution is available.

This is the asker speaking: there is a typo in the question, the real question is:

Is there a possible answer to x^2+1=0?

We still need to know the width of the tank to calculate the volume. You have given only the length and the height of the tank.

A continuous function is one where there are no discontinuities or step changes in the function, i.e. for a small change in input value, as that small change approaches zero, there is a progressively smaller change in output value.

There are many definitions, some formal and some intuitive, for continuous functions. The definition given above is intuitive.

The same definition can be give to the deriviatives or the integrals of a function. Continousness does not depend on being a deriviative or integral.

I found an equation and pluged in the numbers and I came up with

16,804 different sandwiches!

Because they are disjoint, (ie. they contain none of the same elements) their intersection (what they both share in common) is the empty or null set.

It is 15 degrees.

Analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series and analysis functions.

Kwan has modeled a number that is less than 999. His model has twice as many 100-blocks as 10-blocks. It has twice as many 10-blocks as 1-blocks. What is the number?

Numerical analysis has numerous applications in all fields of science and some fields of engineering, and essentially any type of work that requires calculations to give very precise solutions.

The point of numerical analysis is to analyse methods that are used to give approximate number solutions to situations where it is unlikely to find the real solution quickly, and to try and improve upon these methods so as to reduce the amount of error generated by computer calculation.

It is essential in work that requires precise numbers to get very good approximations with very little error in them, if approximations with just even 1 or 2% error are used in another calculation, and the answer of that calculation used in another, and so on, the errors will build up and you end up with very unreliable numbers. This is why it is a good idea to study numerical anlysis if you intend to go into any area of work requiring precise calculations, so as to be able to identify if there are areas you can improve so as to better your methods in finding solutions and reducing error.

Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method

2x1+3x2+7x3 = 12 -----(1)

x1-4x2+5x3 = 2 -----(2)

4x1+5x2-12x3= -3 ----(3)

Answer:

I'm not here to answer your university/college assignment questions. Please refer to the related question below and use the algorithm, which you should have in your notes anyway, to do the work yourself.

The square roots (not sqare route!) of 99999999999999999999999 are ±316,227,766,016.8 approx.

It is the order of arithmetical operations and is known as BODMAS or BIDMAS meaning brackets, indices, division, multiplication, addition and subtraction

1-2 is not a function because there is no defined function, such as f(n)=0n+1-2. Also, it does not contain a variable.

There is no such thing as an average 18 tear old. Some have no school at all. Those who attend school the time would be about 7 hours to the local high school, that includes their lunch, and time between classes. Actual class time is about 6 hr 20 min.

Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.

The relative error puts the size of the error into context.

An absolute error of 10, in a number whose value is 1 indicates a range of -9 to 11 for the true value. This means that telling you that the value is 1 is near enough pointless. On the other hand, an absolute error of 10 in a number whose value is 1 billion means that the true value is somewhere in the range 999,999,990 and 1,000,000,010. I suggest that the discrepancy is not significant.

The relative error in the first case is 1000% and in the second, it is 1 millionth of 1%.