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Write following in terms of simpler logarithms. (a) log 3 (9 x 4 / √y) Solution log 3 (9 x 4 / √y) =log 3 9x 4 - log y (1/2) =log 3 9 + log 3 x 4
Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of
Discontinuous Integrand- Integration Techniques Here now we need to look at the second type of improper integrals that we will be looking at in this section. These are integr
Impediments in time series analysis Accuracy of data in reflecting a) Drastic changes for illustration in the advent of a major competitor, period of war or unexpected chan
Natural exponential function : There is a extremely important exponential function which arises naturally in several places. This function is called as the natural exponential fun
/3x-5/-x-7=0
Q. Difference between Probability and statistics? Ans. Probability and statistics are used in many different aspects of life. What are they and why are they so popular?
How to creates Factor by Substitution ? Can you factor this polynomial? x 2 + 3x + 2 (For this tutorial, I'm going to assume that you know how to do some basic factorin
Definition 1. Given any x 1 & x 2 from an interval I with x 1 2 if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2. Given any x 1 & x 2 from an interval
A polynomial satisfies the following relation f(x).f(1/x)= f(x)+f(1/x). f(2) = 33. fIND f(3) Ans) The required polynomial is x^5 +1. This polynomial satisfies the condition state
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