abstract algebra, Mathematics

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Interpretations of definite integral, Interpretations of Definite Integral ...

Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

Relation is not a function, The following relation is not a function.   ...

The following relation is not a function.                   {(6,10) ( -7, 3)  (0, 4)  (6, -4)} Solution Don't worry regarding where this relation came from.  It is only on

Velocity problem, Velocity Problem : Let's look briefly at the velocity pr...

Velocity Problem : Let's look briefly at the velocity problem.  Several calculus books will treat it as its own problem.  .  In this problem we are given a position function of an

Geometry, finding missing values from given triangle diagra m..

finding missing values from given triangle diagra m..

Probability of chosen number from 1st 500 divisble by 3or5 , IN THIS WE HAV...

IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5  occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466

If 1/x+2, if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5...

if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 =>  1/x 2 +5x+6  = 2/ x 2 +8x +15 =>  On solving we get x

Forced - damped vibrations, It is the full blown case where we consider eve...

It is the full blown case where we consider every final possible force which can act on the system. The differential equation in this case, Mu'' + γu'  + ku = F( t) The displ

Variance, Variance Consider the example of investment opportunities. Th...

Variance Consider the example of investment opportunities. The expected gains were Rs.114 and Rs.81 respectively. The fact is that an investor also looks at the dispersion befo

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