Question: 1. What is the nth order approximation using Taylor series? 2. What is Error Propagation? 3. Please explain what the total numerical error is? Please illustrate how the change of step size will affect the total ...
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Assignment - Solving the five question in the very details, thanks a lot. Question - Let a ∈ P n be a point. Show that the one-point set {a} is a projective variety, and compute explicit generators for the ideal I p ({a} ...
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Instructions The aim of the assignment is that the student/group studies and applies numerical methods such as Euler's method, the Improved Euler's method and the Runge-Kutta method to solve first-order differential equa ...
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Maths Assignment - 1. Analysis of a data set Using a continuous data set you are requested to collect in the types of data and gathering data section, perform a statistical analysis on your data. You have opportunities t ...
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Clarity, succinctness, writing your name and Netid: 1 Indistinguishability 1. If {X n }n is computationally indistinguishable from {Y n } n , {Y n } n is computationally indistin- guishable from {Z n } n, then (select th ...
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Assignment - Question 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 ...
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Question 1 - For the I.V.P of ODE y' = (t-1)e -y , y(1) = 0, find an approximation to y(1.2) using the following numerical methods with Δt = 0.1. Compare the numerical solution with the exact solution and compute the err ...
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Assessment Task Practical Investigation - Question 1 requires selecting reference points from the graph. It is expected that each student will choose different reference points to other students. Take note of the criteri ...
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Questions - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3xdx Q2. If , then for what value of α is A an identity matrix? Q3. The line y = mx + 1 is a tangent to the curve y 2 = 4x. Find t ...
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1. Suppose that n = 10088821 is a product of two distinct primes, and Φ(n) = 10082272. Determine the prime factors of n. 2. It is easy to show that the converse of Fermat's Theorem does not hold; i.e., the congruence a n ...
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