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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
Where can you find a site for selective school sample test papers?
In the UK, selective state schools use National Foundation for Educational Research (NFER) exams whereas independent selective schools exams are set by the Independent Schools Examinations Board (ISEB). Their web sites can offer some samples. More may be obtained from the sites for the individual schools.
Prime Factorization of:
41 = 41
26 = ........2 x 13
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LCM=41 x 2 x 13 = 1066
Does p V (q r) and (p V q) r mean the same thing?
The browser which is used for submitting questions is crap (to be polite)! It is therefore likely that I cannot see the question as you would have wished. But, as far as I can make out, the answer is probably not.
Why does a calculator give misleading results for numeric derivatives?
You don't normally calculate derivatives with a calculator. Please clarify what calculation you were trying to do.
Will painting the glass covering a coil of PVC pipe with black paint reduce the heating efficiency?
The glass covering on what?
How many cubic meter of gas when compressed makes one kilo gram by weight?
Depends on the density of the gas.
What does it integers mean in algebra?
Counting numbers are 1,2,3....
If you include 0 and the opposites .... -3,-2,-1, 0,1,2,3 .... this creates the integers.
Integers do not include decimals or fractions.
What property of multiplaction allows you to break a problem into partial products?
distributive property, and substitution property.
EX: 42 x 20 = (40 + 2) x 20 = (40 x 20) + (2 x 20)
Is every real number a whole number?
No. Real numbers are equivalence classes of cauchy sequences of rational numbers, which in turn are equivalence classes of pairs of integers (or whole numbers). Examples of real numbers that are not rational and therefore not integer are sqrt(2) and pi. Examples of real numbers that are rational but not integer are 1/2 and 13/17.
What shapes can an triangle be divided?
By a single straight line only into triangles or quadrilaterals.
How many ways can you make twelve cents with coins?
There are several countries that use cents as a minor currency unit and they use different coinage. It is, therefore, not possible to answer the question without knowing which country it refers to.
Why you accept the definition of Empty set?
For reasons similar to those which explain why mathematicians accept the definition of zero as a number.
It provides an identity for unions of sets, provides for closure of sets under taking complements.
What is the angle formed by the hands of a clock at 1021?
I like your question. The hour hand is 10/60 from vertical, which reduces to 1/6. Converting to degrees (there are 360 degrees in a circle), would mean 1/6 of 360, resulting in 60. 21 minutes from vertical is 21/60, but since degrees are 6 times more than minutes, the product of 21 and 6 is 126. The clockwise angle is therefore 60 + 126 = 186.
Since 186 is larger the a straight line, one might also answer that the angle formed on the Southwest side of the two hands is 174 (360 - 186). There are two angles formed by the hands in the circle.
What numbers 1 and 55000 are divisible by 3?
There are 18,333 multiples of 3 between 1 and 55,000. They are 3,6,9,12 and keep adding three until you get to 54,999.
1000 grams = 1 kilogram so 198 g = 198/1000 kg = 0.198 kg. Simple!
