Bro please solve Q 3.10 in Matlab i only need the final answer just capture it t

Question

Bro please solve Q 3.10 in Matlab i only need the final answer just capture it the screen

Many thanks

Evaluate the error and compare with part (a). Calculate the random access memory (RAM) in megabytes necessary to store a multidimensional array that is 20 times 40 times 120. This array is double precision, and each value requires a 64-bit word. Recall that a 64-bit word = 8 bytes and 1 kilobyte = 2^10 bytes. Assume that the index starts at 1. Determine the number of terms necessary to approximate cos x to 8 significant figures using the Maclaurin series approximation cos x = 1 - x^2/2 + x^4/4! - x^6/6! + x^8/8! - .... Calculate the approximation using a value of x = 0.3 pi. Write a program to determine your result.

Explanation / Answer

Solution:

n = 8; %Significant Digits

x = .3*pi;

epsilon_s = (.5*10^(2-n));

Res(1,1) = 1;

Res(2,1) = 1 - x^2/2;

Res(3,1) = 1 - x^2/2 + x^4/factorial(4);

Res(4,1) = 1 - x^2/2 + x^4/factorial(4) - x^6/factorial(6);

Res(5,1) = 1 - x^2/2 + x^4/factorial(4) - x^6/factorial(6) + x^8/factorial(8);

Res(6,1) = 1 - x^2/2 + x^4/factorial(4) - x^6/factorial(6) + x^8/factorial(8) -x^10/factorial(10);

Res(7,1) = 1 - x^2/2 + x^4/factorial(4) - x^6/factorial(6) + x^8/factorial(8) -x^10/factorial(10) + x^12/factorial(12);

for i = 1:6

Res(i,2) = (Res(i+1,1) - Res(i,1))/Res(i+1,1);

Res(i,3) = Res(i,2) - epsilon_s;

end

disp(' maclaurin_i e_i e_i-e_s')

disp(Res)

for j = 1:6

if abs(Res(j,2)) < epsilon_s

disp('Error is OK for i ='); disp(j)

end

end

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