******************************** THE CORRECT ANSWERS FOR THE FIRST ROW ARE AS FO

Question

********************************

THE CORRECT ANSWERS FOR THE FIRST ROW ARE AS FOLLOW:

0.53334961 0.53331658 1.63x10^-5 1.68x10^-5

if your methods don't result in these answers for n=4, you are doing something wrong.

THANKS!

Compare the errors in the Midpoint and Trapezoid Rules with n 4, 8, 16, and 32 subintervals when they are applied to the following integral (with its exact value siven). 12 cos*x dx Complete the following table. Express each value of M(n) and T(n) as a decimal rounded to eight decimal places. Express each error in scientific notation, rounding to two decimal places. (Use the multiplication symbol in the math palette as needed.) Absolute Error in Absolute Error in M(n) T(n) In) 4 16 32

Explanation / Answer

Above calculations are done using calcuator

n Mid (n) T(n) Absolute Error M(n) Absolute Error T(n) n=4 0.53334961 0.53331658 1.63 X10-5 1.68 X 10-5 n=8 0.53333356 0.53333310 2.27 X 10-7 1.68 X 10-7 n=16 0.53333337 0.53333333 3.67 X 10-8 3.30 X 10-9 n=32 0.53333333 0.53333333 3.30 X 10-9 3.30 X 10-9

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