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IEEE(Institute of Electrical and Electronics Engineers )
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The first manner of calculating the required probability which you cited is flawed. If say, each of these 6 combinations can be recycled, the probability would be computed as (1/42)^6 = 1/5489031744.
The problem is a first order differential equation, and can be reduced directly by integration. Integrating both sides wrt x: y = - x^(-2+1)/ (-2+1) - 3 x^ (-4+1)/ (-4+1) +12x +C = 1/x + 1/(x^3)
Let x and y denote the lengths of the sides of the rectangle. Then xy=400 =====> y=4000/x -------(1) Total cost involved in enclosing rectangular region C= 30(2x)+ 30(y) + 10 (y) = 60x +
Let the number of units remaining vacant as a result of the rent hike be x. Then the rental price per unit would be 500+20x Total number of occupied units as a result of the above would be equivalent
For continuity to happen, you simply need to assert that at the point x=1, both x^2-3 and cx+2 yield the same y value. Thus, substituting x=1 into both expressions and equating them together gives