integral calculus, Mathematics

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how to change order and variable in multiple integral

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Airthmetic progression series, Each of the series 3+5+7+..... and 4+7+10......

Each of the series 3+5+7+..... and 4+7+10.......... is continued to 100 terms find how many terms are identical. Ans) 48 terms would be common to both the series... first take co

What is the probability that |x| < 2 , A number x is chosen at random ...

A number x is chosen at random from the numbers -3, -2, -1, 0 1, 2, 3. What is the probability that  | x| Ans :    x  can take 7 values To get |x| Probability (| x |

Arithmetic sequence, find a30 given that the first few terms of an arithmet...

find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...

Circle, a wheel revolves 360 deegre revolution in one minute .Find how many...

a wheel revolves 360 deegre revolution in one minute .Find how many radians will the wheel subtend in one second

Algebra, 25 algebraic equations that equal 36

25 algebraic equations that equal 36

Variation of parameters, In this case we will require deriving a new formul...

In this case we will require deriving a new formula for variation of parameters for systems.  The derivation now will be much simpler than the when we first noticed variation of pa

Definition of minimum and maximum values, Definition 1.   We say that f...

Definition 1.   We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on. 2.  We say that at x = c ,

Quadratic equation, If roots of (x-p)(x-q) = c are a and b what will be th...

If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c please explain. Solution)  (x-p)(x-q)=c x2-(p+q)x-c=0 hence,   a+b=p+q  and    a.b=pq-c

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