find-the-first-four-nonzero-terms-of-the-maclaurin-expansions-of-the-given-functions-by-using-eqs-19

Name: find the first four nonzero terms of the maclaurin expansions of the given functions by using eqs 19
Uploaded: 2021-06-08
Duration: 1 min 11 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).$$f(x)=\sin \left(-x^{4}\right)$$.

Question

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

Wendi Zhao · Accepted Answer

To find the macro being series of this expression, we can use a second formula and we substitute acts with minors. Extra force hence is equals more nurse Extra force miners, minors access to the force and then killed. Or three factorial. Yes. My nurse Extra force and then to face Over five factual real miners, miners, Extra Force cameras intra sevens Over seven sectorial. An example the Sequels, minors act to force Plus, extra 12 Overstreet. Factorial Miners adds to the 20s or five factorial plus Starts to the 28th Over seven sectorial and accepted.

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 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

Wen Zheng · Answer

so for the function. Cool Science backs squired him, Siah. Lex Rested were rude like dysfunction as co sign a box on small half sighing A to X then co sign. Wax is equal to one minus x wire. But true factorial last acts to force with warm factorial minus nice to six or six. Bacterial us of the film. Uh huh. You know what put we have here? Science Two axes to Chula backs minus two backs to three over three factorial us. She lacks para far bullet found material minus two acts. The part of seven over seven factorial started All so this is equally true. We&#x27;ll have your backs. Plus I&#x27;m active. Well, half times two minus shooting. Three over three factorial. Thanks, Q Us one off or factorial times two us. I know what two times? 2 2 to 3 over three Factory oh, plus 2 to 5 were found factorial. Thanks. Just how far? Us? Negative one over six. Factory Oh, house too minus won over. Or factorial hams. Shoe to three. Over three. Back terminal minus one over to factorial Taps 1 2 to 5 or found factorial minus 2 to 7. Over seven. Victorio. Thanks to pop seven. A simplification we have. This is equal to thanks. Minus seven over six house locks, three plus 61 over 120 sacks to the par five minus for Salome. Over, uh, year old. I was there all thanks to talk someone hospitable.

Jaida L · Answer

So the model in Syria&#x27;s generated by sign of eggs is equal to and the Sigma from an equal zero to infinity Negative 12 part end about a bite to impossible on factorial times x the power of to in plus one This serious converges on negative infinity to infinity he series generated by, um X time Senate X squared is going to be so let me just read it. Also f X equals x times, um, sort of X and in squared. So you&#x27;re going to replace son of ex with what we found right up here. And so it is gonna look like X times. So we&#x27;re just refining the, uh, serious. So an equal zero to infinity Negative wants the party end by the bite to and plus one factorial times exit, part two in plus one. Remember, there&#x27;s a squared right here, so we&#x27;re going to add a squared. And so once we simplify, we get X cubed minus 1/3 x tooth there plus two divided by 45 times x, the seventh minus one divided by 3 15 Excellent. Nine plus dot dot Doc, This convergence on negative infinity to infinity and so here are the first few terms. The first few terms we&#x27;re going to be X cubed minus one. That expects, plus to to buy the 45 access seventh. So right up here, These are the 1st 3 terms, and the interval of convergence is negative. Infinity to infinity.

Linh Vu · Answer

so we noticed that this function come written down is one of the one minus x times with this side of X. And we know one of the one minus tanks can be written as a series of one blessed express X squared plus extreme was expelled from class, not the top and sigh of x camera. And now is this sign actually made the power on the time will be Thanks. And then after we remind us experiment remember to return a mi six and after would be a plus expo of finding Robbie Find Victorio. So blessed dot dot So once you have one of the one minus x times with this X. So they go Jo Jo factor Mountain climbing. Do you ever So one glass? Thanks. Plus X squared less expert travelers. Ex Well, for breast other Down here we have the x minus. Thanks. About treated by my six plus doesn&#x27;t stop because we don&#x27;t need about five. Only about follow be enough. So listen, we go Jew Lynn dude expansion will have one first When the one first wish again, huh, Ax And then we reserved a space for the Expo Jew here so on Dan Menace Expert Judy, November 6 Now we&#x27;re done for that one. Move onto the X here, Which again? The X Square here on den. We&#x27;re gonna minus Thanks. Better funding of every six. And the next time we were not consider now the next one will be X square for the ex queen. We again, Uh, thanks. About three would be here and now after will be expert. If I so we don&#x27;t need to write down on last one will be expert three when expert tree moving with the extra one Expo Far and blessed Mother thought that started last time. Listen, just the top so we wouldn&#x27;t lie now. And we should get this when we go to the ANC&#x27;s Class X Square And here we have one of mine. It&#x27;s one of the six plus one is gonna my blessed fire under six expert three. And here we And together we have the man is 106 plus one again. We&#x27;ve gone the rest five of six expelled for class. Not a tough doesn&#x27;t mean being, uh Cy. Thank. The fighting by one man is Thanks

Problem

Find the first four nonzero terms of the Maclauri…

Problem 6 Easy Difficulty

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

Answer

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