0
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
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.
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
What is the maximum depth a water spill will be on a flat surface?
Any, depending on the volume of water spilt and the area of the flat surface.
The specific height is also constrained by the surface tension of the water, the atmospheric pressure above it, and the gravity below it.
Why is anything divided by zero undefined?
because it would be every positive number and there are infinaty numbers so people don't do it.
draw it out for ease.
data:
ab + 2 = ac
bc-1 = ac
therefore ab +2 = bc - 1
ab - bc = -3
perimeter is 62. /3 as most values are small difference. average distance is ~21.
ab is smallest, guess it is 19. if so, ac would be 21. bc would be 22. does this add up?
it actually does. i guess there is a mathematical way of doing this other than trial and error like the way i just did it, but i cannot see it right now
