Calculus, Mathematics

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Algebra, If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then ...

If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then find n. Answer:Arithmatic mean of a,b is =(a+b)/2  from the problem (a+b)/2=(a^n+1 +b ^n+1)/(a^n+b^n)  then (a+

Progressions, what value of k is he sequence 2k+4,3k-7,k+12 are in an arith...

what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is

Examples of logarithms, Examples of logarithms: log 2   8 = 3         ...

Examples of logarithms: log 2   8 = 3                                            since    8 = 2 3 log 10   0.01 = -2                                    since    0.01 = 10

Topological spease, let X be a nonempty set. let x belong to X. show that t...

let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U

Example of optimization , A piece of pipe is carried down a hallway i.e 10 ...

A piece of pipe is carried down a hallway i.e 10 feet wide.  At the ending of the hallway the there is a right-angled turn & the hallway narrows down to 8 feet wide. What is the lo

Describe laws of cosines, Q. Describe Laws of Cosines? The law of cosin...

Q. Describe Laws of Cosines? The law of cosines is used to find the missing piece of a triangle if we are given either 1. Two sides and the included angle (SAS) or  2. All t

Free - undamped vibrations, It is the simplest case which we can consider. ...

It is the simplest case which we can consider. Unforced or free vibrations sense that F(t) = 0 and undamped vibrations implies that g = 0. Under this case the differential equation

Completely factored polynomial, Factoring polynomials Factoring polynom...

Factoring polynomials Factoring polynomials is done in pretty much the similar manner.  We determine all of the terms which were multiplied together to obtain the given polynom

Probability, TWO PERSONS A AND B AGREE TO MEET AT A PLACE BTWEEN 11 TO 12 N...

TWO PERSONS A AND B AGREE TO MEET AT A PLACE BTWEEN 11 TO 12 NOON.  THE FIRST ONE TOARRIVE WAITS FOR 20 MIN AND THEN LEAVE. IF THE TIME OF THIR ARRIVAL BE INDEPENDET AND AT RNDOM,T

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