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1. The number of milligrams of Vitamin D in a person's body ...

1. The number of milligrams of Vitamin D in a person's body after t, hours can be modelled using a 30 exponential model. Also, predict the concentration of Vitamin D after 6 hours using the exponential model. D(mg) 1 2 3.5 4.5 5.4 6.5 7.2 8.5 9 9.5 t ...

ASSIGNMENT 4 - EXTENDED VERSION Problem 1. (12 points) (i)...

ASSIGNMENT 4 - EXTENDED VERSION Problem 1. (12 points) (i) (6 points) Calculate the DFT of the vector x = - (ii) (6 points) Calculate the inverse DFT of x = 2, 3, - -1, 1]T. Problem 2. (25 points) Let x = [x0,x1, be a vector of length N whose DFT is given by x = [xo,a Use x to determine the DFT...

PROJECT D/2 This project focuses on Numerical Methods for ...

PROJECT D/2 This project focuses on Numerical Methods for Ordinary Differential Equations (Existence, Univeress and stability theory, Euler's Method , Multistep Method , Midpoint Method , the Trapezoidal Method , A Low-order Predicter. - Corrector Algarith Text: Kendall E. Attinson : An Introd...

Consider the Leapfrog method for numerical solution of the h...

Consider the Leapfrog method for numerical solution of the heat equation.Determine the order of accuracy of the method Consider the Leapfrog method for numerical solution of the heat equation given by Wj.m+1-Wjn-1 - Wj+1,n - 2wj,n + Wj-1,n - = 2k h2 Determine the order of accuracy of the me...

Write a C++ program that can solve the following Boundary-Va...

Write a C++ program that can solve the following Boundary-Value Second Order Differential Equation: y" + 4y' + 4y = 0, with y(0) = 0 and y(1) =3 Your program must use the Shooting Method. The program must prompt the user to provide a first guess of the slope of the solution at X = 0. Y...

# I Find the best degree 2 polynomial approximation of f(x...

# I Find the best degree 2 polynomial approximation of f(x) under 2-distance induced by weight function w(x)=1 on [-1,1] for f(x)=sin(pi x/2). Sketch the graphs of f and this approximation. #2 * Find the best degre.e 2 polynomial approximation of f(x) under 2-distance induced by weight functi...

#4 (20pts). Consider the error term of the Composite Trapez...

#4 (20pts). Consider the error term of the Composite Trapezoidal Rule, 1 b-a 5E (a,b). 12 Given error tolerance 104, find the minimum n in approximating integral e sinx dx such that the absolute error 12 (Hint: #3. (20pts) Use 3-Point Formula: to determine, as accurately as possible, approx...

TEXT : Kendall E. Atkinson : An Introduction to Numerical A...

TEXT : Kendall E. Atkinson : An Introduction to Numerical Analysis Problem # 4. 13 Find the value of x that minimizes Steral x dx What is the minimum ? This is a simple illustration of yet another of to measure the error of an approximation and opy the resulting best approximation Problem # ...

Question 2 (Quadrature) 1. Recall the formula for a (compo...

Question 2 (Quadrature) 1. Recall the formula for a (composite) trapezoidal rule Tn (u) for I = 2: u(x) da which requires n function evaluations at equidistant quadrature points and where the first and the last quadrature points coincide with the integration bounds a and b, respectively. 2. For...

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