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Exercise 3.2 How to evaluate p(x) = 2 + 3x - 4x +8x- 11x2 at a given value of x using only 6 multiplications? Exercise
Exercise 3.2 How to evaluate p(x) = 2 + 3x - 4x +8x- 11x2 at a given value of x using only 6 multiplications? Exercise 3.3 Count how many multiplications (as a function of n) are used in the following Matlab code. Write down the number of multiplications in the bid-O notation. Hint: A ka n(n+1) (2n+1)/6. for k=1:n for i=k+1:n A(i, k+1:n)=A (i, k+1:n)-A(k,k+1:n)*A(1,k)/Ak,k); end end Exercise 3.4 Find the Taylor polynomial T3(x) of degree 3 for f(x) = 1+4x+3x2+2x about a = 1. Show that 73(x) = f(x) in this case
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