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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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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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 - 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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Mathematics- Algebraic Geometry Problem Let K denotes an algebraically closed field and let P 1 be constructed as in Example 5.5(a) in Gathmanns notes, i.e. P 1 is the gluing of X 1 = A 1 and X 2 = A 1 along the open su ...
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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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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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Assignment - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3x dx 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 ...
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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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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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