Other Math Answers

So if your centre was aiming to create a 8 x 3 x 2 league, what is the minimum amount of people that would need to be approached in order to floor your desired amount of bowlers?

given an instance where the values of n – 1 of the variables are known, how would you go about
determining the most likely value of the nth variable?

Determine a unique polynomial f(x) of degree ≤ 3 such that f(x0)=1, f'(x0)=2, f(x1)=2, f'(x1)=3 where x1-x0=h

Determine the spacing h in a table of equally spaced values for the function f(x)= (2+x)^4 , 1≤x≤2, so that the quadratic interpolation in this table satisfies | error | ≤ 10^-6.

Find the solution of the difference equation y [(k+2) subscript] - 4y [(k+1) subscript] +4y [(k) subscript] =0 k =0,1,...... Also find the particular solution when y[(0) subscript] =1 and y[(1) subscript] = 6.

Use Runge-Kutta method of order four to solve y'=x+y. Start with x=1, y=0 and carry to x = 1.5 with h = 0.1

Using sin(0.1)= 0.09983 and sin (0.2)=0.19867, find the approximate value of sin(0.15) by using Langrange interpolation. obtain a bound on the truncation error.

Find the minimum number of intervals required to evaluate ∫(0,1) e^(-x)^2 dx with an accuracy of 0.5 X 10^-4 , by using the Trapezoidal rule.

Obtain an approximate value of ∫0-1 (dx)/(1+x^2) using composite Simpson’s rule with h =0.25 and h = 0.125 . Find also the improved value using Romberg integration.