reasoning, Mathematics

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logical reasoning

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Differentiate y = x x using implicit differentiation, Differentiate y = x ...

Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1                                 d (a x ) /dx= a

Assigment, Q1: Find three positive numbers whose sum is 54 and whose produc...

Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.

The definite integral- area under a curve, The Definite Integ...

The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out

Indices, 4n to the power 3/2 = 8 to the power minus 1/3. find the value of ...

4n to the power 3/2 = 8 to the power minus 1/3. find the value of n.

Generate pairs of vertices at random , Generate a 1000 vertex graph adding ...

Generate a 1000 vertex graph adding edges randomly one at a time.  How many edges are added before all isolated vertices disappear?  Try the experiment enough times to determine ho

Examples on probability, 1. A machine comprises of three transformers A, B ...

1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di

Solve the second order differential equations, Solve the subsequent IVP ...

Solve the subsequent IVP Y'' - 9 y = 0, y(0) = 2, y'(0) = -1 Solution First, the two functions  y (t ) = e 3t  and  y(t ) = e -3t That is "nice enough" for us to

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