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3740. Different axes of revolution Use either the washer

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs ISBN: 9780321947345 167

Solution for problem 37 Chapter 6.4

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Calculus: Early Transcendentals | 2nd Edition

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Problem 37

3740. Different axes of revolution Use either the washer or shell method to find the volume of the solid that is generated when the region in the first quadrant bounded by y = x2, y = 1, and x = 0 is revolved about the following lines. y = -2

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Risk%III Wednesday,*April*6,*2016 13:34 HW 1.Review*in*excel SACF(ret)*from*1*to*10:*correl(:,:)* 44>*graph 44>*no*relation*(today*known,*but*cannot*predict*tomorrow) Linear*Regression: Ret_t(t)=a+b*Ret_(t41) 1) OLS*Estimation: =linest*(selet*5*rows***N…) St.error:*if*n*is*big*enough,*nears*0*(be*cautious*when*n*is*big,*look*at*the*whole*regression) Look*at*R=0 b:*doesn't*explain*(cannot*predict*return* 4Rt;*but*can*predict*Rt 44correlation*graph*is*downward*sloping,*correlated:* cannot*forecast*the*sign,*but*can*forecast*the*range) 2) ML E1=… Same*normal*distribution MAX F(E1..)=F(Ei)= 44>*MAX*log4*4sum* (se2=0.00001,*a,*b*=*0)* 44>*solver: Constraints:*se2>=0.0000000000000001*(e^9) Uncheck*non 4negatives 44>*MAX*log4*4sum* (se2=0.00001,*a,*b*=*0)* 44>*solver: Constraints:*se2>=0.0000000000000001*(e^9) Uncheck*non 4negatives AR(P): T4stat*&*R :*all*are*significant*to*preditt*R 2.Lec*3*22 What*is*volatility t*known44>*to*predict*sigma*in*the*future!*) 10*years*ago:*GARCH*the*best* 4→ •*Realized*Volatility •*HAR*model SP500/Google/apple…:*historical*data*of*returns 10*years*ago:*GARCH*the*best* 4→ •*Realized*Volatility •*HAR*model SP500/Google/apple…:*historical*data*of*returns 1) Fluctuate*around*0* 2) Volatility:*changes*over*time*and*a*lot44 smaller*4 bigger*4 …(!not*constant,*but*stays*some*time/volatility*) Variance*( ! )*can*be*summed*up*(better*than*volatilit!) Rtcan*be*found*easily4*4>*!tcannot*be*seen*directly4*4>*predic!t+1 Rtcan*be*forecasted4*4>**! t Relation:*Var(X)*=*E(X2)* E(X) ,*E(X)=0 Thus,* If*Rt*is*large,*better*estimate Forecast*variance*(Moving*average*model):* 1)*Why*equally*important 2)*How*to*choose*m*m*should*be*big,*not*too*big*(if*m*is*1,*it's*too*noisy;*if*m*is*252,*it's*too*smooth) 3.Lec*3*2 RiskMetrics*model*(JP*Morgan) 0* Optimal*λ*:*0.94*(JP*Morgan) Infinity*4→ Optimal*λ*:*0.94*(JP*Morgan) Infinity*4→ Compared*with*moving*average*model:*better But*t+k Limitations:*the*same/a*constant*variance 4.Lec*3*2 ARCH*and*GARCH*model* One*equation:*1*44>*3*parameters Unconditional*mean: RiskMetrics*α+β=1,*but*: 2 If*k*is*large*enough,*the*best*guess*is*σ : 44>*Use*ML*(not*linear*regression,u*z*σ*like*ghost*we*don't*see Excel:*initial*guesses*should*be*decent* 44 ^w=0.00001 ^α=0.05 ^β=0.3 44 http://vlab.stern.nyu.ed: * projects*for*volatility*data Eg.*S&P Daily*Ret*Rt Daily*std=0.01 Daily*Variance=0.01 =0.0001 Average*var=0.0001*252 Ave*vol=sqr(0.0001*252)=0.158 4.Lec*3*22 beyond*GARCH Independent:* 5*returns*(sub4intervals) 44>*more*intervals 44>*more*intervals If*infinitely,*44>*Realized*variance*(more*frequently,*more*precise*sigma) Cf.*for*the*mean,*only*the*beginning*&*the*end: 0.2*unknown,*but*more*observations,*more*close*to*0.2 RV t* ! t 44>*RV t+! 5.Lec*3*22 HAR*model:*the*best*now*444 Corsi*(2009) =! t+1 Use*daily,*weekly,*monthly*Realized*Variance 44>*Linear*regression Example:*to*get*RV 44>www.google.com/finance/getpricesq=.DJI&x=INDEXDJX&i=60&p=10d&f=d,c,h,l,o,v q=.DJI/APPL… x=INDEXDJX/nasdaq… i=60*seconds,*interval Max:*10days Date,*close,*high,*low,*open,*volume Date:*in*unix*format* 44> Unix*timestamp:*number*of*second*from*01/01/1970. Excel*date4time:*number*of*days*from*01/01/1900.* 44>**=*(UnixDate/86400)*+*date(1970,*01,*01)*+*(TIME*OFFSET*∗ 60)/86400 44>*http://realized.oxford4man.ox.ac.uk Live*data:*from*2000*latest*live*data*(ABD*COLOUMN) <44 HW*(Final):*3*group*members*(1*to*submit);*Excel:*clean*&*precise*44 for*grading;*pdf:*short*is*good

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Chapter 6.4, Problem 37 is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

Since the solution to 37 from 6.4 chapter was answered, more than 226 students have viewed the full step-by-step answer. The answer to “3740. Different axes of revolution Use either the washer or shell method to find the volume of the solid that is generated when the region in the first quadrant bounded by y = x2, y = 1, and x = 0 is revolved about the following lines. y = -2” is broken down into a number of easy to follow steps, and 50 words. The full step-by-step solution to problem: 37 from chapter: 6.4 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2.

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3740. Different axes of revolution Use either the washer