Recent content by Ryuuken

Homework Statement Derive a method for approximating f'''(x0) whose error term is of order h^{2} by expanding the function f in a fourth taylor polynomial about x0 and evaluating at x_{0} \pm h and x_{0} \pm 2h. Homework Equations The Attempt at a Solution I'm not sure where to...

Well my book says the results were given by the three-point formula (or some n-point formula) so I'm trying to figure out how to apply it to get the same result although using di/dt = (y_1-y_0)/(x_1- x_0) works. Do you know if the way I got di/dt = 7 is correct? If so, why? Thanks.

Homework Statement Kirchoff's first law gives the relationship E(t) = L * (di/dt) + R*i where L is the inductance, R is the resistance and i is the current. \begin{tabular}{|c|c|c|c|c|c|} \hline $\emph{t}$ & 1.00 & 1.01 & 1.02 & 1.03 & 1.04\\ \hline $\emph{i}$ & 3.10 & 3.12 & 3.14 &...

Homework Statement 1. In the manufacture of commercial license plates, a valid identifier consists of four digits followed by two eltters. Among all possible plate identifiers how many contain only the letters W, X, Y, or Z with a four digit number divisible by 5? 2. All the vertices of...

Homework Statement Prove the following identity by mathematical induction: \sum_{i=1}^n \frac{1}{(2i - 1)(2i + 1)} = \frac{n}{(2n + 1)} Homework Equations The Attempt at a Solution Let P(n) = \sum_{i=1}^n \frac{1}{(2(1) - 1)(2(1) + 1)} = \frac{1}{(2(1) + 1)} P(1) =...