Mathematics Homework Solutions

Lagrange Interpolating Polynomial

We are given the Lagrange polynomial in the form: P_n(x)= y_0*L_0(x)+...+y_n*L_n(x) and y_i = f(x_i) and L_i(x)= ((x-x_0)***(x-x_n)) / ((x_i-x_0)***(x_i-x_n)). We must show that L_0(x) + ... + L_n(x) = 1 for all x and n=3. Later we are to generalize this for all n>0. But let's just focus on n=3 for now; I may be able t ...continues

Numerical Analysis

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Excel Solver - linear programming model.

Need help with the following problem, am stuck trying to set it up correctly. Can you help with the objective function and constraints, also the formulas for solver. The Arden County, Maryland, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to ...continues

Transportation Model linear programming model. Need help setting up problem for Excel solver.

Having real problems setting up transportation problems in Excel's Solver. Please help with objective function, constraints, formulas, etc. Spreadsheet would be wonderful soI can see how to do it! The Krampf Lines Railway Company specializes in coal handling. On Friday APril 13, Krampf needed empty coal cars to be moved from ...continues

Need help with Excel Solver Linear Programming Model

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Numerical Analysis

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Numerical Analysis

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Power Series

Consider the power series ∑anxn for which each coefficient an is an integer. Prove that this series has a radius of convergence, R, where either R=positive infinity or R≤1 See attached file for full problem description.

Calculate mean and standard deviation

height of 50 oak trees were measured, but due to problems only partial results were obtained. it was found that 6 trees had a height of less than 9 metres, while 18 trees had a height of less than 15 metres. calculate mean and standard deviation of the heights of oak trees.

Numerical Analysis

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