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Here we have considered the following points. 1. Mathematics is omnipresent, powerful and beautiful. 2. Mathematics is useful in all spheres of life. 3. Mathematics can al
Longer- Term Forecasting Moving averages, exponential smoothing and decomposition methods tend to be utilized for short to medium term forecasting. Longer term forecasting is
writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
Calculate the Kendaul''s correlation cofficient for a given data.
Three shirts and five ties cost $23. Five shirts and one tie cost $20. What is the price of one shirt? Let x = the cost of one shirt. Let y = the cost of one tie. The ?rst part
Given two functions f(x) and g(x) which are differentiable on some interval I (1) If W (f,g) (x 0 ) ≠ 0 for some x 0 in I, so f(x) and g(x) are linearly independent on the int
Get the Delta H (Enthalpy) and Delta V (Volume) of the both components below and compare by ratio. You need to use clapeyron equation and also need to draw the graphs. S A LG
How we calculate region for curve tracing
We want to find the integral of a function at an arbitrary location x from the origin. Thus, where I(x=0) is the value of the integral for all times less than 0. (Essenti
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