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Finding the number of Permutations of 'n' dissimilar things taken 'r' at a time: After looking at the definition of permutations, we look at how to evolve a
how do you subtract 2 1\8 from 5\16
Consider the following system of linear equations. X 1 +x 3 +x 4 = 2 X 1 +x 2 +x 3 = 6 X 2 +x 3 +x 4 = 3 X 1 +x 2 +x 4 = 0 (a) Write out the augmented matrix fo
verify liouville''s theorem for y''''''-y''''-y''+y=0
Example Sketch the graph of following f( x ) = 2x and g( x ) = ( 1 /2) x Solution Let's firstly make a table of values for these two functions. Following is
Factoring Polynomials with Degree Greater than 2 There is no one method for doing these generally. However, there are some that we can do so let's take a look at a some exa
An insurance company/organization takes a keen interest in the age at which a person is insured. Thus a survey conducted on prospective clients indicated that for clients having th
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1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving
Find out the area of the region bounded by y = 2 x 2 + 10 and y = 4 x + 16 . Solution In this case the intersection points (that we'll required eventually) are not going t
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