find-the-first-four-nonzero-terms-of-the-maclaurin-expansions-of-the-given-functions-by-using-eqs-21

Name: find the first four nonzero terms of the maclaurin expansions of the given functions by using eqs 21
Uploaded: 2021-06-08
Duration: 1 min 34 s
Channel: Numerade
Description: Find the first four nonzero terms of the Maclaurin expansions of the given functions by using Eqs. (30.6) to (30.10).$$f(x)=\sqrt{1-x^{4}}$$

Question

Find the first four nonzero terms of the Maclaurin expansions of the given functions by using Eqs. (30.6) to (30.10).$$f(x)=\sqrt{1-x^{4}}$$

Wendi Zhao · Accepted Answer

We can write this expression as one miner&#x27;s extra force and then to a powerful house. Hence we can use this formula with an eco&#x27;s half and we substitute X with minors. Extra forms has the echoes one plus a half times miners. Extra falls class. Uh huh harms minors. How over to times miners? Extra flaws squared plus mm hmm. Miners have minor three has overseas times minus X. To force killed and etcetera. They see girls. one miners half gets to a force miners one AIDS. Yeah. Acts to the 8th and minors. One over 16 times. Acts two trails and accept.

Linh Vu · Answer

So we know by the binomial Terram we have one blessed angst about after I called you the submission Angus from such infinity a juice and and then extra. And in extension, we got to go to one plus i x plus y times a minus one divided by ju X square. Plus many times I am honest Quantum&#x27;s I&#x27;m honest ud vibe A tree for the Ohio Times expert tree. Just yell it out. Here we have the a echoed your ministry on with you. So we should have the same thing here. Why? I&#x27;m blessed Bauer Monastery. Our ju must echo ju won and I&#x27;II go Jew ministry on with ju and thanks. Blast Yeah minus three on Ju Ministry of a Jew minus one Divine Bijou X Square and US Ministry on June Times Ministry on with Ju minus one Times Ministry and with humanist you ex military divide by sixth and last lethal degree phone have ministry and with ju Times Ministry and with humans. One Times Ministry and with your Minister Times Ministry and with Germans three times Expel for inviting by far Victoria record usually far so we can signify this warm fondos time here so we can get you Could juju ministry. And would you? Thanks. And we shouldn&#x27;t have here. Would be if it didn&#x27;t ever aid Blessed fitting over eight X square And the next time will be minus 35 of 16 minus 35 of us 16 Experiment tree and pressed another Don&#x27;t we can complete is on by yourself

Linh Vu · Answer

you know does Sayigh off. Thanks Has the macron expansion under form? Thanks. Minus an ex military divine by drift a toria. And then my blessed Expo finding vibrate. Five Toyo just double down. And because we only Campbell about off maximums and we don&#x27;t care about this one. So I only came about this one. Now Andi here instead of the accident. And we had to replace the angst by this gun today. So have the sign off. Expelled Ji Min&#x27;s ex ico June. Now instead of dark one hand, we should have the expert Jim Innis tanks minus I get in stunning about three inside and the acceleration have exploded. Three minutes. Thanks. Inside. Divide by three for trying to six at the top. Now my expansion. Which again? Expert G minus X minus one out of six. Inside. Ana Inside. Wish again, huh? About Jewish again. X power. Ah, thanks, bro. And nine. And then Ah, minus three. Thanks. Well, three square on duh Expert three. That&#x27;s three. Thanks. About three and minus. Expel it tree. Let&#x27;s not go down. And by expanding everything should get money. Thanks. On mine, as this one is about knows we don&#x27;t care about this one on the next one will be. Ah! Oh, there&#x27;s another about three. So I did a mistake here. This is gonna be the square off that one. So we&#x27;ll be six on one would be 7 December seven. And now the next one will be one and square Were about five here on DDE. Doesn&#x27;t only about $9 7 above, five away. I don&#x27;t care about that. So only camera this time here. Expert tree. So blessed one. I&#x27;m look six. Experiment tree. And please don&#x27;t Don&#x27;t don&#x27;t. So we don&#x27;t have about for him. Only that, uh I understand what you&#x27;re getting. A good Jew. Manus acts on this one. A listen together. We should get Geico, Jude. Uh ah. Bless seven other angst about three less. Don&#x27;t doubt

Linh Vu · Answer

So we know that this one would be the binomial formula will be one place. Thanks. Now I could use a mission off and goes from Serge Infinity Any twos and times expel And here we have I&#x27;II go to one of a far so we should get one. Just X Uh, when I&#x27;m a fun, we go Jew submission of angles from the to infinity One of a far juice and the Times Expo. And so we should have equal to the first time would be the one love Uh, listen, you can write down here as well You go do one blessed I angst. Plus any times I am I just wonder if I&#x27;m with you X square less eight times I am honest one times I am honest Jew divine by tree Fattah Times X poetry Just don&#x27;t doubt. So we have the same thing here So we can judge only way from the NAFTA. So ego ego do one blessed I could you have angered You are one of a far So we should get one Were here right now and then we&#x27;re going here So we should get one of our four banks and we have done here. And then we go to this one and we have a blast. I would be a quanta. Times will 1/4 months one divided by Jude and x square, plus quanta times are quite honest. One times a quanta minus two. You&#x27;re running by grief. A terrible could you six x poetry and plus quanta times a quantum minus one times that quota minus Jew times acquired the minus three. The fighting by far Victoria opportunity for expel for another job. So anyway, ego, June 1 plus one of our far thanks, class. There&#x27;s only so again ah ah, this one would be Ah, this one will be one with Julia and quite the minus one B minus three out of four. So here we should get minus now on. Ah, here. It was not. Shouldn&#x27;t good down here at this. So this one will be, uh, three doesn&#x27;t go echo Thio miners Three out of far And we terms when? One out of five. B minus three out of 16. So a monastery on top, 16 times to bay 6 32 x square and plus yeah, we have on about Expect three dozen will be ministry after far this it will be minus. So when I went up far and then which again? The plus Genting one off the for about three on 10 6 equal to three i d fall and plus vision again. Monastery under far isn&#x27;t Uncle Joe minus seven out of far is a Nico Jew minus 11. Now don&#x27;t go far so we should get equal Jew minus now. So we have 21 times 11 to Uganda to 31 they fighting by 121234 far by far Times window gente far 6144 Exposure for doesn&#x27;t concern If I this from Waco to Genting one dividing by doing Eddie far I was getting equal just seven 1 28 Experiment tree You were gonna to 31 day fighting by 61 for far So you got me go Joe 77 divided by two out for eight x bow Far they were bringing this anything and here one less one of a far x

Ahmed Kamel · Answer

in this question. 40. We&#x27;re expert mention or negative X. Where will sign eggs? The teachers is a Taylor series off function if off X and E is defined as if Frank&#x27;s equal and before e plus the over the X your coffee over Cody and one and so on. So by finding the directives off, give off X, which is, as we said before, E board negative excess square, we&#x27;ll sign X and let equals zero. So we will have one plus the year over factory in one X plus negative city, over factory to Access Square and so on. If we simply fight, we can get one minus city over to export toe plus 25/24 export four and so on. Similarly, in fourth B, we will get that Len one plus X over one minus. That&#x27;s thank you.

Linh Vu · Answer

so energy for the most part, under my emissaries on a function we need to find f off there are Jeff. Thanks for No. So every big e Belus I also So he could you ah, stay up equal to one on APB round a bank, we go to a sigh Thanks. Go assigned x and isn&#x27;t a blast that the at Bram undeserved where it could you one times course I observed it could you want? So you go to war after, But Brenda Thanks. Where you going? To aged This, uh, on then terms with the ghosts I square acts on, then minus Cy. Thanks. Time&#x27;s sakes. Uh, ex. So we can simplify this one by speech of this, uh, thanks. And then goes I square. Thanks. Minus, uh, act doesn&#x27;t implies that half number prime. Observe where you go to one. And then we got one hand and we have got one square course way Got you 11 square. But you won. So we have going on a swell if, ah, tip of brand X. What you going to do, June? Uh, Cy? Thanks on, Dan. Yeah. Sign on the X course I square on the axe minus I X no less. Get a sigh. Thanks. They&#x27;re even the look. Of course I square would you do goes, uh, ex and, uh, x minus and minus co signed X. So we have half the footprint on the zero. Ah, doesn&#x27;t we consider if I and we can&#x27;t get in country, eh, Cy? Thanks. And that since I was get you go, Joe. Ah Course. Huh? Thanks about tree. My Nothing. Sorry. Thanks, Gus, I Thanks, um, minus to uh huh. Both sides. Thanks. Minus go. So thanks. All right. This is a blessed f to program. Does, uh, going to one times one menace man is no minus one. So they could use, though Now we need your computer in the next time Will be the fourth derivative of the axe. Great. Ain&#x27;t going to do this, baby. Oh, yeah, but we have no choice to do it. So doesn&#x27;t think that we can do this. And, ah, ministry Cy Ex Course X and doesn&#x27;t answer it Tuned my nest dream on. Would you? So your ex So it doesn&#x27;t really safe. Shocker. So go have a So thanks. Now we won&#x27;t remember everything here goes I about three x minus a tree on, would you? So thank you, X. And then Ah, we have a minus. Go side. Thanks. Plus a ah. Then we temps with the go side. Thanks. Yes. Well and now the other one we saw. Thanks on Now the river till under constable through a tree course that square. Thanks. Minus sorry. Thanks. And the minus three Go, Cy. Do it. Thanks. And minus plus. So next. So f 40 equal Jew, they&#x27;re gonna one. Isn&#x27;t one this? Well, so one here. And so we have 10 So one minus one citizen become and plus you know isn&#x27;t zero Doesn&#x27;t passenger one. So my mystery becomes the, uh yeah, yeah, yeah. Who is it? Tell me so because of ministry. So the ISS I Thanks, but Seiko Ji the first time could you won the next time it go to plus one ex off one for Tyra. The next time will be one this Well, so a blessed one. Ex grand of average. Over. Tyler. Andi, We minus the three X before you will be for Victoria. Um, best even if I was you getting caught, You one glass Thanks. Bless X square on with ju and mine was, uh, three. So we expel for you, Ryan by far, Vittorio, so far. Come to me and we&#x27;ll be dr dot

Problem

Find the first four nonzero terms of the Maclauri…

Problem 8 Easy Difficulty

Find the first four nonzero terms of the Maclaurin expansions of the given functions by using Eqs. (30.6) to (30.10).$$f(x)=\sqrt{1-x^{4}}$$

Answer

Related Courses

Basic Technical Mathematics with Calculus

Related Topics

Discussion

Top Calculus 2 / BC Educators

Kayleah T.

Caleb E.

Samuel H.

Michael J.

Calculus 2 / BC Courses

Integration Review - Intro

Definite vs Indefinite

Recommended Videos

Watch More Solved Questions in Chapter 30

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Kayleah T.

Caleb E.

Samuel H.

Michael J.

Integration Review - Intro

Definite vs Indefinite

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Basic Technical Mathematics with Calculus

Kayleah T.

Caleb E.

Samuel H.

Michael J.

Integration Review - Intro

Definite vs Indefinite

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Kayleah T.

Caleb E.

Samuel H.

Michael J.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus