Ibraheem M.
asked • 09/08/23I got 0.167950 for E_m and it says it's wrong I figured out that K=13 can someone explain why it's wrong? this is the equation E_t K(b-a)^3/12n^2 and E_m is k(b-a)^3/12n^2
Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six decimal places.)
E_t= 0.335901 correct E_m= E_s=
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1 Expert Answer
Nicholas G. answered • 09/08/23
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Patient, Results-Oriented with 25+ Years Experience in Calculus
Hi, my first instinct is that you are confusing the actual errors (found by finding the real answer's difference from the approximating technique) and the upper bound estimation for the error, which are the formulae you referenced above. You also accidentally have the wrong number in the midpoint denominator but I think you used 24 not 12.
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Ibraheem M.
a) Find the approximations T10, M10, and S10 for integral lower bound 0 upperbound pi 13 sin x dx. (Round your answers to six decimal places.) T10 = 25.785805 Correct: Your answer is correct. M10 = 26.107229 Correct: Your answer is correct. S10 = 26.001423 Correct: Your answer is correct. Find the corresponding errors ET, EM, and ES. (Round your answers to six decimal places.) ET = 0.214195 Correct: Your answer is correct. EM = -0.107229 Correct: Your answer is correct. ES = -0.001423 Correct: Your answer is correct. here is the rest of it09/08/23