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Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]
Differentiate following functions. (a) R ( w) = 4 w - 5 log 9 w (b) f ( x ) = 3e x + 10x 3 ln x Solution : (a) It will be the only example which doesn't includ
The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.
Illustration of Rank Correlation Coefficient In a beauty competition two assessors were asked to rank the 10 contestants by using the professional assessment skills. The resul
Now come to addition and subtraction of rational expressions. Following are the general formulas. (a/c) + (b/c) = (a + b)/c
The radius of the in circle of a triangle is 4cm and the segments into which one side is divided by the point of contact are 6cm and 8cm. Determine the other two sides of the tria
show that all primes except 2, are of the form 4n-1 or 4n+1.
Characteristics of Exponential Smoothing 1. More weight is described to the most recent data. 2. All past data are incorporated not like in moving averages. 3. Les
Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify not
In a group of 85 people, 33 own a microwave, 28 own a DVD player and 38 own a computer. In addition, 6 people own both a microwave and a DVD player, 9 own both a DVD player and a c
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