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Numerade Educator



Problem 26 Medium Difficulty

Find the approximations $ L_n $, $ R_n $, $ T_n $, and $ M_n $ for $ n = 5 $, 10, and 20. Then compute the corresponding errors $ E_L $, $ E_R $, $ E_T $, and $ E_M $. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when $ n $ is doubled?

$ \displaystyle \int_1^2 \frac{1}{x^2}\ dx $



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Video Transcript

problem. 26. I want to compute our Artie and and or unethical to 5 10 honey and to compute the corresponding harassed. First we need to know how to compute our Archie and am here the formula. There's a book. This is Al. Oh, it is just Ah, left hand side. Did this one is now left endpoint approximation on are the right hand side. Yeah, right. It's the sunrise here for each and you need to compute their toe acts and effects I for tea and am Here is a function of teeth. Here's a moment off. Just compute. There's no other ways too. There's no tricks here. Just compute. You know everything. Just control And you don't know your equal. No. Sure, your answer is cracked. Just just compared them with the real answer because you can compute the eye. Exactly. Right. Eyes equal to 12 x square. Yes. Right. And these people to my sex What? 21? That's Ah, Newton Nablus. Right, because the directive off dysfunction is just six function, So it's just, uh, minus Woz. Uh, sorry. One minus one or two. This huh? Your answer. If your approximation is close to one, huh? Then you're on crack. Just just calculate them and yell yarn itchy! And I am just It's equal to ay minus he or are or I'll write because calculate, there's no other way.