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 ...
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Math Assignment - Q1. Let f(x) = -x 3 -cos(x), and p 0 = 1. Use Newton's method to find p 2 . Could p0=0 be used? Q2. Perform two iterations by Newton's method and the secant method to each of the following: a. e x + 2 - ...
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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 ...
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Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Use inverse DFT and apply it on the Fourier components X ...
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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.
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Problem - Consider a closed convex set X ⊂ R d , a function H : X x Ξ ι→ R d , and a deterministic nonnegative sequence {α n } such that n=0 ∑ ∞ α n = ∞ and n=0 ∑ ∞ (α n ) 2 = ∞. Consider an inner product (·, ·) on R d , ...
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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 ...
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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 ...
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(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 ...
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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 ...
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