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Mathematical Analysis

Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.

2,575 Questions

Can 12 be divided by zero?

No. I have heard it described as "The Eleventh Commandment" : "Thou Shalt Not Divide By Zero". Attempts to do so result in an "infinity".

Which one is heavier 3.5 oz or 0.80 oz?

3.5 oz is heavier because you have a whole number in front of the decimal... :)

How much energy dose it take to move 90 kg 8 meters per second?

An object that has 90 kg of mass and is moving at 8 meters per second

already has 2,880 joules of kinetic energy. In order to get the mass moving

at that speed, those joules had to come from somewhere. But now that it's

already moving, it doesn't need any more energy to keep going in a straight

line at the same speed. You only have to come up with some more energy

if you want to speed it up, or turn it in a different direction. And if you want to

slow it down, the object gives you energy, which you can take home with you

and use for other activities.

A fewer graps then 12?

There is insufficient information for us to even begin to understand this question. Please edit the question to include more context or relevant information.

Do you put repeating sign over 6.667?

To show a repeating decimal you put a dot above the digit that repeats.

What is a 15 percent tip of 34.99?

If you pay $34.99, then the tip you pay is $34.99*0.15 or $5.25(rounded).

How to find the longest path in a graph?

To find the longest path in a graph, you can use dynamic programming or backtracking techniques, particularly in Directed Acyclic Graphs (DAGs). First, perform a topological sort of the graph. Then, initialize a distance array and relax the edges in topological order, updating the longest distance to each vertex. For undirected graphs or those with cycles, the problem is NP-hard, and heuristic or approximation algorithms may be necessary.

What weight is same as 200g?

200 g is a mass, not a weight

0.2 kg = 200 g

Why will a tapered cup roll in a circular path?

Because there is a difference between the circumferences of the top lip and the base of the cup.

What is basic concepts of set theory?

The basic concepts are:

  • a set
  • some elements, and
  • a rule which can be used to decide whether or not a particular element belongs to the set.

Why zero divided by 0 equals to two?

Actually, zero divided by zero is a non-real number, not two. This has to do with some complicated rules of math, but the simplified rule is division by zero is not possible.

Is time and a half more pay than double pay?

No. Time and a half is 1 and a half times normal, double is twice normal pay.

What is a solution of 4x plus 9 equals 25?

Since 'x' appears only to the 1st power, this is a linear equation,

and there's only one solution.

4x + 9 = 25

Subtract 9 from each side:

4x = 16

Divide each side by 4:

x = 4