i understood the whole elementary  probability theorem well, except bayes's theorem.plz explain it formaly(in ur own  words). with when to apply it.

a simple example is much appreciated.

thanx

plz explain the meaning(definition) of these types of relations in a formal way. i could not understand the book definition.so plz explain in ur own words(an example will be appreciated)

1)transitive relation

2)symmetric and anit-symmetric relation

3)reflexive relation

thnx

rates assured :)

what is the general approach for solving these types of problems using diff.

find max/min value of

sin⁴x+cos⁷x

thnx

can any 1 explain when and how to use integration for summation of binomial co-efficients with example.

thnx

what is the easy/shortcut method for finding co-factors,inverse etc of  matrices in MCQ(objective) type exams?

thnx

plz mention the generic approach for solving these types of problems(taking below as example)

find the remainder of 5⁹⁹ divided by 13

thnx

i wanna know when to exactly use substitution method for integration, can it be used with every integral problem?