integration, Mathematics

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Find out the greater of two consecutive positive is 143, Find out the great...

Find out the greater of two consecutive positive odd integers whose product is 143. Let x = the lesser odd integer and let x + 2 = the greater odd integer. Because product is a

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Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)

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Derivatives of Hyperbolic Functions : The last set of functions which we're going to be looking at is the hyperbolic functions.  In several physical situations combinations of e

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A telephoned dialled number 0 to 9.if 0 is dialled first the caller is connected to the international exchange system.find the number of local calls that can be rung if a local num

Find the interval of validity for the solution, Solve the subsequent IVP an...

Solve the subsequent IVP and find the interval of validity for the solution xyy' + 4x 2 + y 2 = 0,       y(2) = -7,          x > 0 Solution: Let's first divide on both

Properties of dot product - vector, Properties of Dot Product u → • (v...

Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w →          (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →

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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