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Numerical Methods

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Numerical Methods

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  1. NumericalMethods QUESTIONS AND ANSWERS Suppose an approximation to the irrational number ℼ is given as 3.14. Calculate the following by using short engineering number format representation in MATLAB and write your answers below. a. The true error, Answer= 1.5927×10-3 b. The true percent relative error. Answer= 50.6957×10-3 % 2. Let’s remember from Calculus. Instead of infinite sum, suppose we make nth degree approximation as For x=0.3 and n=3, calculate the following by giving your answers with 4 significant figures. a. the approximation value, Answer= 1.349 (chopping) or 1.350 (rounding) b. the percent relative approximation error. Answer = 0.02658% (chopping) 0.02659% (rounding) 3. Calculate the root of the function f (t) = sinh ( t+et ) in the interval t €[-1,1] with 3 significant figures. Answer = −0.567 4. Test the following pseudocode with the initial values a=0, b=1, N=5. Answer= 49 www.matlabassignmentexperts.com info@matlabassignmentexperts.com +1 (315) 557-6473

  2. FUNCTION Result(a,b,N) iter=0 DO a=a+b b=b+2 sum=a+b iter=iter+1 IF iter>N EXIT ENDIF ENDDO Result=sum END Result 5. Calculate the following by using short number format representation in MATLAB and write your answers below. sin(34.35°) Answer = 0.5642 2-10e (-5/2) Answer= 1.1792 Answer = 2.7317 d. Find the polynomial which has the roots 2, 1+3j , 1-3j Answer = p(x) = x3 – 4x2 + 14x – 20 www.matlabassignmentexperts.com info@matlabassignmentexperts.com +1 (315) 557-6473

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