directand inverse varations, Mathematics

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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

Prove that one of three consecutive integers divisible by 3, Prove that one...

Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +

Inequalities, I want to complete my assignment, please explain me what is I...

I want to complete my assignment, please explain me what is Inequalities?

Find out the taylor series for f (x) = ex about x = 0, Find out the Taylor ...

Find out the Taylor Series for f (x) = e x about x = 0. Solution In fact this is one of the easier Taylor Series that we'll be asked to calculate.  To find out the Taylor

Compute the dot product for the equation, Compute the dot product for each ...

Compute the dot product for each of the subsequent equation  (a) v → = 5i → - 8j → , w → = i → + 2j →  (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →

Determine if the three vectors lie in similar plane or not, Determine if th...

Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al

Determine series is convergent or divergent by radio test, Determine if the...

Determine if the following series is convergent or divergent by using Radio Test. Solution With this first illustration let's be a little careful and ensure that we h

Standard form of a complex number, Standard form of a complex number So...

Standard form of a complex number So, let's start out with some of the basic definitions & terminology for complex numbers. The standard form of a complex number is

Example of integration strategy - integration techniques, Evaluate the subs...

Evaluate the subsequent integral. ∫ (tan x/sec 4 x / sec 4 x)  dx Solution This kind of integral approximately falls into the form given in 3c.  It is a quotient of ta

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