All steps please Find the Taylor series for f(x) = 1/x^2 about x = -1 and find the interval of convergence
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- By using hamiltonian equations. Find the solution of harmonic oscillator in : A-2 Dimensions B-3 dimensionsFor each function, use our techniques to sketch the graph. Include asymptotes, at least one intercept,and a derivative chart.The Newton–Raphson method for finding the stationary point(s) Rsp of a potential energy surface V is based on a Taylor-series expansion around a guess, R0. Similarly, the velocity Verlet algorithm for integrating molecular dynamics trajectories [xt, vt] is based on a Taylor-series expansion around the initial conditions, [x0, v0]. Both of these methods rely strictly on local information about the system. How many derivatives do we need to compute in order to apply them?
- Find the volume of the solid cut from the thick-walled cylinder 4≤x^2+y^2≤7 by the cones z=±(4x^2+4y^2)^1/2.Suppose function fhas the graph as shown belowSuppose that you have a potential V (x) x2 + 6x – 8. Using a Taylor Series around Xo = 3, approximate the potential as a harmonic oscillator. O + (= – 3)? 7-2 (포-3)2 | (x – 3)? ||