1300 Math Formulas
CHAPTER 9. INTEGRAL CALCULUS fÑ=p=áë=ÖáîÉå=ÉñéäáÅáíäó=Äó=íÜÉ=ÑìåÅíáçå=ò(ñIó)I==íÜÉå==íÜÉ==ëìê- Ñ~ÅÉ=~êÉ~=áë== () ∫∫ ...
CHAPTER 9. INTEGRAL CALCULUS =∫∫ μ() p O fK=ñò ó ñIóIòÇp = jçãÉåíë=çÑ=fåÉêíá~=~Äçìí=íÜÉ=ñ-~ñáëI=ó-~ñáëI=~åÇ=ò-~ñáë= =∫∫()+ μ( ...
CHAPTER 9. INTEGRAL CALCULUS ïÜÉêÉ=î()ê rr =áë=íÜÉ=ÑäìáÇ=îÉäçÅáíóK= == j~ëë=cäìñ=E~Åêçëë=íÜÉ=ëìêÑ~ÅÉ=pF= Φ=∫∫ρ ()⋅ p îê Çp rr ...
Chapter 10 Differential Equations = = = = cìåÅíáçåë=çÑ=çåÉ=î~êá~ÄäÉW=óI=éI=èI=ìI=ÖI=ÜI=dI=eI=êI=ò== ^êÖìãÉåíë=EáåÇÉéÉåÇÉåí=î~êá~ ...
CHAPTER 10. DIFFERENTIAL EQUATIONS ^ÅÅÉäÉê~íáçå=çÑ=Öê~îáíóW=Ö= `ìêêÉåíW=f= oÉëáëí~åÅÉW=o= fåÇìÅí~åÅÉW=i= `~é~Åáí~åÅÉW=`= = = 10. ...
CHAPTER 10. DIFFERENTIAL EQUATIONS eçãçÖÉåÉçìë=bèì~íáçåë= qÜÉ= ÇáÑÑÉêÉåíá~ä= Éèì~íáçå= Ñ()ñIó Çñ Çó = = áë= ÜçãçÖÉåÉçìëI= áÑ= ...
CHAPTER 10. DIFFERENTIAL EQUATIONS bñ~Åí=~åÇ=kçåÉñ~Åí=bèì~íáçåë= qÜÉ=Éèì~íáçå== j() ()ñIóÇñ+kñIóÇó=M== áë=Å~ääÉÇ=Éñ~Åí=áÑ== ñ ...
CHAPTER 10. DIFFERENTIAL EQUATIONS mçéìä~íáçå=aóå~ãáÅë=EiçÖáëíáÅ=jçÇÉäF= = − j m âmN Çí Çm I== ïÜÉêÉ=m =áë=éçéìä~í ...
CHAPTER 10. DIFFERENTIAL EQUATIONS λN=α+βáI=λO=α−βáI=ïÜÉêÉ== O é α=− I= O Qè−éO β= I== íÜÉå=íÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë== ó=Éαñ()`NÅ ...
CHAPTER 10. DIFFERENTIAL EQUATIONS aáÑÑÉêÉåíá~ä=bèì~íáçåë=ïáíÜ=ñ=jáëëáåÖ= ó′′=Ñ()óIó′K== pÉí= óì= ′K=páåÅÉ== Çó Çì ì Çñ Çó Çó ...
CHAPTER 10. DIFFERENTIAL EQUATIONS `~ëÉ=NKγO>Qâã=EçîÉêÇ~ãéÉÇF= ó()í =^ÉλNí+_ÉλOíI== ïÜÉêÉ== Oã O Qâã N −γ− γ − λ = I= Oã O Qâ ...
CHAPTER 10. DIFFERENTIAL EQUATIONS ïÜÉêÉ=f=áë=íÜÉ=ÅìêêÉåí=áå=~å=oi`=ÅáêÅìáí=ïáíÜ=~å=~Å=îçäí~ÖÉ= ëçìêÅÉ=s()í =bMëáå(ωí)K=== = qÜÉ ...
CHAPTER 10. DIFFERENTIAL EQUATIONS ~ééäáÉë= íç= íÜÉ= íÉãéÉê~íìêÉ= ÇáëíêáÄìíáçå=ì =áå=íÜÉ=ñó(ñIó) - éä~åÉ=ïÜÉå=ÜÉ~í=áë=~ääçïÉÇ=íç ...
Chapter 11 Series = = = = 11.1 Arithmetic Series = fåáíá~ä=íÉêãW=~=N kíÜ=íÉêãW=~=å aáÑÑÉêÉåÅÉ=ÄÉíïÉÉå=ëìÅÅÉëëáîÉ=íÉêãëW=Ç= kìãÄÉ ...
CHAPTER 11. SERIES 11.2 Geometric Series = fåáíá~ä=íÉêãW=~N= kíÜ=íÉêãW=~=å `çããçå=ê~íáçW=è= kìãÄÉê=çÑ=íÉêãë=áå=íÜÉ=ëÉêáÉëW=å= pì ...
CHAPTER 11. SERIES 1193. ( ) O åå N N O P å + + + +K+ = = = O+Q+S+K+Oå=å(å+N)= = N+P+R+K+()Oå−N=åO= = ()() ( ) ( ) O åOâ å ...
CHAPTER 11. SERIES 11.4 Infinite Series = pÉèìÉåÅÉW={}~å = cáêëí=íÉêãW=~=N kíÜ=íÉêãW=~=å = = fåÑáåáíÉ=pÉêáÉë= ∑ = + +K+ +K ∞ = ...
CHAPTER 11. SERIES 1208. ()~ Ä ~ Ä ^ _ åN å åN å åN ∑ å+ å =∑ +∑ = + ∞ = ∞ = ∞ = = = 1209. Å~ Å ~ Å^ åN å åN ∑ å= ∑ = ∞ = ∞ = K= ...
CHAPTER 11. SERIES fÑ= =∞ →∞ å å å Ä ~ äáã =íÜÉå=∑ ∞ å=N Ä ÇáîÉêÖÉåí=áãéäáÉë=íÜ~í=å ∑ ∞ å=N ~=áë=å ~äëç=ÇáîÉêÖÉåíK= = é-ëÉêáÉ ...
CHAPTER 11. SERIES qÜÉ=oççí=qÉëí= iÉí=∑ ∞ å=N ~å=ÄÉ=~=ëÉêáÉë=ïáíÜ=éçëáíáîÉ=íÉêãëK= fÑ=äáãå~å N å < →∞ =íÜÉå=∑ ∞ å=N ~ =áë ...
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