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Using the Runge-Kutta routine and g/l = 1.0, calculate the angle θ for the simple pendulum of Problem.
Problem
Plot the phase plane trajectory for the simple pendulum with the initial conditions
θ(0)=60° and θ' (0)=0.
Engineering Mathematics, Engineering
(1) This problem concerns of the proof of the NP-completeness of 300L a) Convert the formula F into a 300L graph b) Find a solution for the 300L instance of F and verify that it is a solution for F F = (Z 1 V Z 2 ) ^ (z ...
Question : (a) Suppose that you are given an instance of the MST problem on a graph G, with edge weights that are all positive and distinct. Let T be the minimum spanning tree for G returned by Kruskal's algorithm. Now s ...
All these questions should be answered in MATLAB !!! 1. Generate a set of 3 random patterns of dimension 12 where each value is +1 or -1.(3 random 12*12 matrix) 2. Create a 12-unit Hopfield network (a 12x12 matrix) from ...
Question : Suppose that G is a directed graph. In class we discussed an algorithm that will determine whether a given vertex can reach every other vertex in the graph (this is the 1-to-many reachability problem). Conside ...
(SHOW ALL YOUR WORK, not just the answers) When you multiply: 21 x 68 you most likely do: 8x1 + 8x20 + 60x1 + 60x20 = 1, 428 So, there are 4 multiplications and then 3 additions. How long would it take a computer to do t ...
Numerical Analysis Assignment - Q1. Define the following terms: (i) Truncation error (ii) Round-off error Q2. Show that if f(x) = logx, then the condition number, c(x) = |1/logx|. Hence show that log x is ill-conditioned ...
Assignment - 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y using on ...
Question : What is the signed binary sum of 1011100 and 1110101 in decimal? Show all of your work. What is the hexadecimal sum of 9A88 and 4AF6 in hexadecimal and decimal? Show all of your work.
CALCULUS ASSIGNMENT - Q1. Find the total differential of w = x 3 yz + xy + z + 3 at (x, y, z) = (1, 2, 3). Q2. Find the value of the double integral ∫∫ R (6x + 2y 2 )dA where R = {(x, y)| - 2 ≤ y ≤ 1, y 2 ≤ x ≤ 2 - y. Q3 ...
Question : A signal starts at point X. As it travels to point Y, it loses 8 dB. At point Y, the signal is boosted by 10 bB. As the signal travels to point Z, it loses 7 dB. The dB strength of the signal at point Z is -5 ...
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