(b) Find the approximations M10, T10, S10 for this integral. (You will need a calculator. Presentyour calculations in the form of tables with points x; and values f(x;). If you use anyprogramming language, add the code to your homework.)(c) Find the actual absolute errors for these three cases.(d) Find the estimates for the errors that we discussed in class. Compare them with the actualabsolute errors. 1. Consider the integralsin x dx.

Solution for part (b) M10 denotes the midpoint rule with 10 subintervals. The formula is…

Find the approximations M10, T10, S10 for this integral. (You will need a calculator. Present your calculations in the form of tables with points x; and values f(x;). If you use any programming language, add the code to your homework.) Find the actual absolute errors for these three cases. Find the estimates for the errors that we discussed in class. Compare them with the actual absolute errors.

Find the approximations M10, T10, S10 for this integral. (You will need a calculator. Present your calculations in the form of tables with points x; and values f(x;). If you use any programming language, add the code to your homework.) Find the actual absolute errors for these three cases. Find the estimates for the errors that we discussed in class. Compare them with the actual absolute errors.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(b) Find the approximations M10, T10, S10 for this integral. (You will need a calculator. Present
your calculations in the form of tables with points x; and values f(x;). If you use any
programming language, add the code to your homework.)
(c) Find the actual absolute errors for these three cases.
(d) Find the estimates for the errors that we discussed in class. Compare them with the actual
absolute errors.

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