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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
What happens to the graph of y equals x when the equation changes to y equals x - 9?
The graph shifts downward (negative y) by 9 units.
How can you use base ten blocks to model and understand how to divide whole numbers?
take 20 blocks group them into sets of 4. How many sets did you make? 20 / 4 = 5
Is it possible to list the last 3multiples of 5 why?
No. This is an infinite list. There is no end of the list, so there cannotbe the 'last 3'.
Why can't you divide 100 by zero?
Because zero has no multiplicative inverse (no real number multiplied by 0 produces 1).
What is the place and face values of 4 in 324372?
It is in the 1000's place and its face value is 4000
What is the perfect number less than 40?
The two perfect numbers less than 40 are 6 (1+2+3) and 28 (1+2+4+7+14).
How much topsoil do you need to fill an area 24feet long 8 feet wide and 16 inches deep?
The easiest way to calculate the amount of topsoil you'll need is to multiply the totals together to get the cubed feet.
If you notice you have two units of feet and one of inches. Since 16 inches is over one foot but less than two feet you'll still have to purchase an additional bag of topsoil to cover the extra 4 inches. So let's just round the 16 inches up to 24 inches or 2 feet.
24 ft x 8 ft x 2 ft = 384ft³.
Yes Because 46 is a even number because it has 6 at the back of it.
Is zero divided by zero equal to zero?
Actually 0/0 is undefined because there is no logical way to define it. In ordinary mathematics, you cannot divide by zero.
The limit of x/x as x approaches 0 exists and equals 1 so you might be tempted to define 0/0 to be 1.
However, the limit of x2/x as x approaches 0 is 0, and the limit of x/x2 as x approaches 0 does not exist .
r/0 where r is not 0 is also undefined. It is certainly misleading, if not incorrect to say that r/0 = infinity.
If r > 0 then the limit of r/x as x approaches 0 from the right is plus infinity which means the expression increases without bounds. However, the limit as x approaches 0 from the left is minus infinity.
What are the domain and range of y equals ex plus 2 - 1?
I would suggest you plot it using, say GeoGebra. (Very easy to use.) On the left side of the y-axis the graph never falls below y=-1, I think. It climbs indefinitely on the right side. It extends indefinitely to the left, and to the right. But, as I say, if you learn GeoGebra, many problems like these will become much easier.
What is TOPSIS method in Multi-criteria Decision making?
it stand for Technique For Order preference BY Similarity to Ideal Situation
The principle behind TOPSIS is simple: The chosen alternative should be as close to the ideal solution as possible and as far from the negative-ideal solution as possible. The ideal solution is formed as a composite of the best performance values exhibited (in the decision matrix) by any alternative for each attribute. The negative-ideal solution is the composite of the worst performance values. Proximity to each of these performance poles is measured in the Euclidean sense (e.g., square root of the sum of the squared distances along each axis in the "attribute space"), with
optional weighting of each attribute.
