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)-512(T)1(hey)-356(a)1(ll)]TJ -30.254 -1.2 TD 0 Tc [(pla)27(y)-334(di\256eren)26(t)-334(r)-1(oles. :ga?+L16*Q;4%'XZ>lO(T"S5QerY1u(a_Plg%r'kV2oaO4q6SRao ;2R@P`6n3bfJ0KQd'cA`4*';f&M%i7\T*"Z+YE+%MZ67DbH!1gE_A87-kB"R)G6#_ aMQ,\jNeE#O]9J]8.UYCX>$]U#h(D!,dTJ(;bWY^+ctdX5sc7ghZlI5UtJ,01ZR?7 :ls1M]JYi3I#_"D9euU>D&i,jYVF*K%jb/lpGk,F/KF'+DFIaeeaEYZ6rn5;CKjj. )Tj /F1 1 Tf 1.089 0 TD (De\257ne)Tj /F4 1 Tf 3.149 0 TD (f)Tj /F1 1 Tf 0.597 0 TD (\()Tj /F4 1 Tf 0.389 0 TD (x)Tj /F1 1 Tf 0.572 0 TD 0.365 Tc [(\)=s)365(i)364(n)364(\()]TJ /F2 1 Tf 3.511 0.72 TD (p)Tj ET 283.035 261.045 6.264 -0.438 re f BT /F4 1 Tf 10.959 0 0 10.959 283.035 252.713 Tm (x)Tj /F1 1 Tf 0.572 0 TD 0.001 Tc [(\))-385(u)0(sing)-384(eac)27(h)-384(o)1(f)-384(the)-384(three)-384(s)1(t)27(yles)-384(o)1(f)-384(function)]TJ -15.828 -1.2 TD [(de\257nition. )-618(\(Inputs,)-406(called)]TJ T* [(indep)-27(e)1(nden)27(t)-478(v)55(a)1(riables)-478(i)0(n)-478(mathematics,)-514(are)-477(kno)28(wn)-478(as)]TJ /F9 1 Tf 24.266 0 TD 0 Tc [(argumen)26(ts)]TJ /F1 1 Tf 5.014 0 TD 0.001 Tc [(in)-478(computer)]TJ -29.28 -1.2 TD (jargon.\))Tj /F5 1 Tf 2 -2.578 TD 0 Tc [(>)-525(evalf\()-525(Pi,)-525(100)-525(\);)]TJ /F1 1 Tf T* 0.001 Tc [(F)83(o)1(r)-463(the)-462(most)-463(part,)-495(spacing)-462(is)-462(unimp)-27(o)1(rtan)27(t)-463(in)-462(Maple. )]TJ ET endstream endobj 47 0 obj << /ProcSet [/PDF /Text] /ColorSpace <> /Font << /F1 7 0 R /F5 19 0 R /F8 42 0 R /F14 10 0 R /F18 21 0 R /F21 43 0 R >> >> endobj 51 0 obj << /Filter [/ASCII85Decode /LZWDecode ] /Width 77 /Height 99 /BitsPerComponent 8 /ColorSpace [/Indexed /DeviceRGB 255 2 0 R] /Length 701 >> stream )-778(Ellipses)-333(and)-333(T)1(heir)-333(Equations)]TJ /F4 1 Tf 14.696 0 TD 0.167 Tc (::::::::::::::::::::::::::::::::)Tj /F1 1 Tf 14.509 0 TD 0 Tc (113)Tj -29.205 -1.487 TD 0.001 Tc [(6. Q1, Q2 = << Plane 3 >>,<< Plane 4 >>→intersection<< Line 5 >>→assign to a nameL. Change of variables is explained in the following section. )]TJ 14.7 0 TD 0.525 Tc [(1=0\))525(;)]TJ /F1 1 Tf -16.7 -2.467 TD 0.001 Tc [(Note)-348(that)-348(the)-348(answ)28(er)-348(has)-348(the)-348(form)]TJ /F5 1 Tf 15.595 0 TD 0 Tc [(r1,)-525(r2)]TJ /F1 1 Tf 3.15 0 TD 0.001 Tc [(,)-352(w)1(here)]TJ /F5 1 Tf 3.537 0 TD 0 Tc (r1)Tj /F1 1 Tf 1.398 0 TD 0.001 Tc [(is)-348(the)-348(\257rst)-348(r)0(o)-27(o)1(t)-348(a)1(nd)]TJ /F5 1 Tf 8.954 0 TD 0 Tc (r2)Tj /F1 1 Tf 1.398 0 TD 0.001 Tc (is)Tj -34.033 -1.2 TD 0 Tc [(the)-338(second. )]TJ 2 -1.2 TD 0.001 Tc [(Here)-326(i)0(s)-326(a)1(n)-326(e)1(xtended)-326(e)1(xample)-326(of)-326(ho)28(w)-326(t)0(o)-325(u)0(se)-326(v)55(a)1(riables)-326(a)1(nd)-326(assignmen)27(t)-326(s)1(tate-)]TJ -2 -1.2 TD 0 Tc [(men)26(ts. )Tj /F1 1 Tf 0.986 0 TD (Graph)Tj /F4 1 Tf 3.414 -3.27 TD (y)Tj /F1 1 Tf 0.804 0 TD 0 Tc [(=)-279(cos)]TJ /F4 1 Tf 2.561 0 TD (x)Tj /F2 1 Tf 0.794 0 TD (\241)Tj /F1 1 Tf 1.12 0.677 TD [(cos)-167(3)]TJ /F4 1 Tf 2.006 0 TD (x)Tj ET 277.33 676.169 28.242 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 288.711 665.694 Tm (3)Tj 1.992 0.686 TD 0.001 Tc (for)Tj /F2 1 Tf 1.753 0 TD (\241)Tj /F4 1 Tf 1 0 TD (\274)Tj /F2 1 Tf 0.884 0 TD (\267)Tj /F4 1 Tf 1.056 0 TD (x)Tj /F2 1 Tf 0.849 0 TD (\267)Tj /F4 1 Tf 1.056 0 TD 0.036 Tc (\274:)Tj /F1 1 Tf -24.364 -3.134 TD 0 Tc [(Then)-334(graph)]TJ /F4 1 Tf 7.438 -3.27 TD (y)Tj /F1 1 Tf 0.804 0 TD [(=)-279(cos)]TJ /F4 1 Tf 2.561 0 TD (x)Tj /F2 1 Tf 0.794 0 TD (\241)Tj /F1 1 Tf 1.12 0.677 TD [(cos)-167(3)]TJ /F4 1 Tf 2.006 0 TD (x)Tj ET 255.197 605.989 28.242 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 266.578 595.513 Tm (3)Tj 1.881 0.686 TD (+)Tj 1.12 0.677 TD [(cos)-167(5)]TJ /F4 1 Tf 2.006 0 TD (x)Tj ET 299.464 605.989 28.242 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 310.845 595.513 Tm (5)Tj 1.992 0.686 TD 0.001 Tc (for)Tj /F2 1 Tf 1.753 0 TD (\241)Tj /F4 1 Tf 1 0 TD (\274)Tj /F2 1 Tf 0.884 0 TD (\267)Tj /F4 1 Tf 1.056 0 TD (x)Tj /F2 1 Tf 0.849 0 TD (\267)Tj /F4 1 Tf 1.056 0 TD 0.036 Tc (\274:)Tj /F1 1 Tf -26.383 -3.135 TD 0.001 Tc [(What)-333(h)0(app)-27(e)1(ns)-333(if)-333(w)28(e)-333(con)27(tin)27(ue)-333(this)-333(pattern)-333(|)-332(that)-333(i)0(s,)-333(what)-333(do)-27(es)-333(the)-333(graph)-333(o)1(f)]TJ /F4 1 Tf 5.025 -3.375 TD (y)Tj /F1 1 Tf 0.804 0 TD 0 Tc [(=)-279(cos)]TJ /F4 1 Tf 2.561 0 TD (x)Tj /F2 1 Tf 0.794 0 TD (\241)Tj /F1 1 Tf 1.12 0.676 TD [(cos)-167(3)]TJ /F4 1 Tf 2.006 0 TD (x)Tj ET 228.758 534.651 28.242 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 240.139 524.174 Tm (3)Tj 1.881 0.686 TD (+)Tj 1.12 0.676 TD [(cos)-167(5)]TJ /F4 1 Tf 2.006 0 TD (x)Tj ET 273.025 534.651 28.242 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 284.406 524.174 Tm (5)Tj 1.881 0.686 TD (+)Tj /F2 1 Tf 1 0 TD 0.167 Tc (\242\242\242)Tj /F1 1 Tf 1.389 0 TD 0.223 Tc (+\()Tj /F2 1 Tf 1.389 0 TD (\241)Tj /F1 1 Tf 0.778 0 TD 0 Tc (1\))Tj /F11 1 Tf 7.671 0 0 7.671 364.682 536.216 Tm (k)Tj /F1 1 Tf 10.959 0 0 10.959 371.389 539.105 Tm 0.001 Tc (cos\(\(2)Tj /F4 1 Tf 2.617 0 TD (k)Tj /F1 1 Tf 0.774 0 TD 0.223 Tc [(+1)223(\))]TJ /F4 1 Tf 1.889 0 TD (x)Tj /F1 1 Tf 0.572 0 TD (\))Tj ET 371.389 534.651 68.387 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 390.381 524.174 Tm (2)Tj /F4 1 Tf 0.5 0 TD (k)Tj /F1 1 Tf 0.774 0 TD (+1)Tj -26.327 -2.587 TD 0.001 Tc [(lo)-27(ok)-333(lik)27(e)-333(o)1(n)-333([)]TJ /F2 1 Tf 5.667 0 TD (\241)Tj /F4 1 Tf 0.778 0 TD 0.036 Tc [(\274;)-131(\274)]TJ /F1 1 Tf 1.656 0 TD 0.334 Tc [(]a)334(s)]TJ /F4 1 Tf 1.839 0 TD (k)Tj /F1 1 Tf 0.885 0 TD 0.001 Tc [(tends)-333(to)-332(in\257nit)27(y? :6miU#N,n^)BRWMPtbpAfndOVKg$LeH6aK?S=G_Y942D%O7fQt?_*Edp>HXI ohHkG$S/_,-IK3->&H7D8%%VtWOZPRqT9gLc.>Cun9Ik?b9#`QB'3qB8?TQA@q-u$ J`\meMQQ6? )-438(T)1(he)-313(Mathematics)-313(D)0(epart-)]TJ T* [(men)27(t)-346(h)0(as)-345(b)-27(een)-345(generous)-345(i)0(n)-345(its)-345(supp)-27(ort,)-349(and)-345(w)28(e)-345(a)1(re)-345(grateful)-346(to)-345(facult)27(y)-345(mem)27(b)-27(e)1(rs)]TJ T* 0 Tc [(Mladen)-461(Bestvina,)-493(G)-1(erald)-461(D)-1(a)27(v)26(ey)82(,)-493(Les)-461(Glaser,)-493(Gran)26(t)-461(Gustafson,)-493(J)-1(\266)]TJ 29.292 0 TD 0.001 Tc [(anos)-460(Koll\266)]TJ 4.244 0 TD (ar,)Tj -33.536 -1.2 TD [(Nic)27(k)-451(Korev)55(aar,)-480(D)0(omingo)-450(T)83(oledo,)-480(and)-450(A)1(ndrejs)-450(T)83(r)0(eib)-27(e)1(rgs)-450(f)0(or)-450(their)-451(suggestions)]TJ T* 0 Tc [(and)-342(assistance.)-471(Sp)-28(ecial)-343(thanks)-342(are)-342(due)-342(Drs. )-778(App)-27(e)1(ndix:)-444(A\261ne)-333(A)1(ppro)28(ximations)]TJ /F4 1 Tf 16.898 0 TD 0.167 Tc (:::::::::::::::::::::::::::)Tj /F1 1 Tf 12.307 0 TD 0 Tc (216)Tj -29.205 -1.487 TD 0.001 Tc [(8. )-778(A\261ne)-333(T)83(ransformations)-333(in)-333(the)-333(Plane)]TJ /F4 1 Tf 17.91 0 TD 0.167 Tc (::::::::::::::::::::::::::::::)Tj /F1 1 Tf 13.795 0 TD 0 Tc (86)Tj -29.705 -1.487 TD 0.001 Tc [(1. •, package is designed to aid in the teaching and understanding of multivariate calculus concepts. ;_)qO\lAAUWgKBQCgiFR[)?^H!3>i5A]EAlI(f0?K.pflO +2V-W>G+ohm%p9cfH[^FkP@BSB4Qn=H%WA`i6]A'!6N-:q4=&pl^oKAkC@,>k81FV RWWA;.Zs$_>#s,fnAu_Kd3PtLO5fQ^]JYZT?aC6[D:hQE61$q5g;+,JC/;6-a@EB% =hJBmKVu\Q%_L]KY$T,c;IPGAV[A/kZV^@h#? Success in your calculus course starts here! )]TJ 0 -1.35 TD [(2.)-834(Are)-372(p)-1(aren)26(theses,)-382(braces,)-382(brac)26(k)26(e)0(ts,)-382(e)0(tc.,)-382(balanced? Buy Multivariable Calclabs With Maple for Stewart's Calculus, Multivariable Calculus, Calculus : Early Transcendentals: For Stewart's Fourth Edition, ... Calculus, Calculus--Early Transcendentals by Stewart, James, Belmonte, Art, Yasskin, Philip (1999) Paperback on … )-779(Normal)-334(Co)-28(ordinates)]TJ /F4 1 Tf 10.997 0 TD 0.167 Tc (::::::::::::::::::::::::::::::::::::::::)Tj /F1 1 Tf 18.208 0 TD 0 Tc (277)Tj -29.205 -1.5 TD 0.001 Tc [(2. routine allows you to calculate, plot, or animate the Taylor approximation, without using the Maplet application interface. ,p>`rDKJj'E+LaU0eP.@+A>0h92. )i]4mP8mmMV-U:ckR (jQIo\`0gZJ5EAl',rG79e1f#QE+9*d"M[%*VU24I3$l"R]Oa47-C]Xej5e#OI(&] O9!o"g)@`R^R/&.k4CaX)5@I&k/u'M`kZSQb#aqaPN6-3LO[sFBP/L2!>\!NX=':"A0!XAA6M%k9P'XQH`R.F;L=Dp6t1&7qs5D3XF 2Wd0IRKZXrdN_f'cB#DFpphf@ak+<2+;W/& ^,@9YNRTRfkFeCb&7MQ#9LMgkp=!6M?2=ZCrDYTB( \#l*bBJ4o9T.nf[cJlNe8fY='? e\pN0luPrrmLM&*]NVqn8!.DZ2Q8C3mtM3-3rlMj'BqGGcGc;3;!mS\Gp ?elr_aU, c^cr@!ecren.^nQ1d-62@*8? )-424(Maple)-273(giv)27(e)1(s)-273(the)-273(co)-27(ordinates)-273(o)1(f)-273(the)-273(in)27(tersection)]TJ T* [(p)-27(o)1(in)27(t)-333(a)1(nd)-333(the)]TJ /F4 1 Tf 6.278 0 TD (x)Tj /F1 1 Tf 0.572 0 TD [(-v)55(alue)-333(is)-333(a)-332(solution)-333(t)0(o)-332(the)-333(equation. )-436(O)-1(n)-307(some)-307(mac)26(hines,)-313(Maple)-307(allo)27(ws)-307(commen)26(ts)]TJ T* 0.001 Tc [(in)-333(a)-332(m)27(ulti-line)-333(command:)]TJ /F5 1 Tf 2 -2.484 TD 0 Tc [(>)-525(f)-525(:)0(=)-525(x)-525(-)0(>)-525(x^2;)-9450(#)-525(define)-525(a)-525(function)]TJ 1.05 -1.2 TD [(f\(2\);)-525(f\(3\);)-11025(#)-525(check)-525(definition)]TJ /F1 1 Tf -3.05 -2.485 TD 0.001 Tc [(but)-336(on)-336(other)-336(mac)27(hines)-335(M)0(aple)-336(ignores)-335(e)1(v)27(e)1(rything)-335(that)-336(a)1(pp)-27(ears)-336(b)-27(et)27(w)28(een)-336(the)-336(\257rst)]TJ 0 -1.2 TD 0 Tc [(commen)26(t)-295(s)0(ym)26(b)-28(o)0(l)]TJ /F5 1 Tf 7.649 0 TD (#)Tj /F1 1 Tf 0.819 0 TD 0.001 Tc [(and)-293(the)-293(next)-294(command)-293(prompt)]TJ /F5 1 Tf 13.833 0 TD (>)Tj /F1 1 Tf 0.525 0 TD [(. )-425(Use)]TJ /F5 1 Tf 22.41 0 TD 0 Tc (augment)Tj /F1 1 Tf -31.03 -1.2 TD 0.001 Tc (and)Tj /F5 1 Tf 1.911 0 TD 0 Tc (gaussjord)Tj /F1 1 Tf 5.025 0 TD 0.001 Tc [(to)-299(solv)27(e)]TJ /F4 1 Tf 3.605 0 TD (A)Tj /F3 1 Tf 0.75 0 TD (x)Tj /F1 1 Tf 0.885 0 TD (=)Tj /F3 1 Tf 1.056 0 TD (v)Tj /F1 1 Tf 0.623 0 TD [(,)-306(w)1(here)]TJ /F3 1 Tf 3.443 0 TD (v)Tj /F1 1 Tf 0.901 0 TD 0.279 Tc [(=\()278(1)]TJ /F4 1 Tf 1.944 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (2)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 0.444 0 TD 0 Tc [(3\). routine can also be applied to triple integrals. :'TB0E1baOtb^a41(`Q0qL+N6#i:&b9*8,&,REb ,QZ`G+c5:4IG5(l7_ZBSQQ<3q\5i269SI>`C9Q[CL? Form a sequence of the line names, select Context Menu: Evaluate and Display Inline, then select Context Menu: Calculus-Multivariate≻Skew (or Parallel or Intersect). )]TJ 2 -1.2 TD [(Let)-333(us)-333(return)-333(to)-332(the)-333(in)27(tegral)]TJ /F13 1 Tf 11.125 -1.765 TD (Z)Tj /F6 1 Tf 7.671 0 0 7.671 270.629 660.686 Tm (1)Tj -0.635 -2.893 TD (0)Tj /F1 1 Tf 10.959 0 0 10.959 277.372 648.479 Tm (sin\()Tj /F13 1 Tf 1.617 0.982 TD (p)Tj ET 306.047 659.681 30.053 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 306.047 648.479 Tm (1)Tj /F2 1 Tf 0.722 0 TD (\241)Tj /F4 1 Tf 1 0 TD (x)Tj /F6 1 Tf 7.671 0 0 7.671 331.184 651.645 Tm (3)Tj /F1 1 Tf 10.959 0 0 10.959 336.101 648.479 Tm (\))Tj /F4 1 Tf 0.556 0 TD 0 Tc (dx)Tj /F1 1 Tf -20.655 -2.972 TD 0.001 Tc [(whic)27(h)-420(M)0(aple)-420(could)-420(not)-421(e)1(v)55(a)1(luate. endstream endobj 107 0 obj << /Length 6396 >> stream ?Op#2^()F(B@1E5%q\^&VctnW#UB.l;:\:Jr&1h69V=a!l,0_/c]LWL1$)8 3,Dc!6nr5o=ohOd'g$beOkFF`?n8M-6tIn79M->U 8qb#jZi4rRjOJ/dUGQ+qhK?hb/6bJ6W5rdJq/G`ZfO%$k*qg)CV:&dfBrgN0$*Gr> j(_oC.r';[YuA?VaM*7h+orIT:B'0CEuJcR`PWZn!p?nt-Uph:,REt`H2=[/*53XL ?4<3Am44pN'1=s1%+)l[2H!psYDnooo"k"kX*kX3p%L3-S(!nN $`lbeYr9b0F!RHD:9TeAUY5^bGhgTd)'pA\eL"Xki&Rc.T-j:b'L=4QV9eN/14-Xa ?8A%gj]e,!,+fBSU]RuRCW-H1f:No(o4_sP(*PONK4JMuh8p^*:q44me. )-778(Curv)27(e-Fitting)-332(|)-332(P)27(olynomial)-333(In)27(terp)-27(olation)]TJ /F4 1 Tf 20.564 0 TD 0.167 Tc (::::::::::::::::::::)Tj /F1 1 Tf 9.141 0 TD 0 Tc (58)Tj -29.705 -1.487 TD [(4. )-445(Alternativ)26(ely)82(,)-334(t)26(y)-1(p)-28(e)]TJ /F5 1 Tf 2 -2.366 TD [(>)-525([)-525('i'^2)-525($)-525('i')-525(=)-525(1..10)-525(];)]TJ /F1 1 Tf -2 -2.366 TD 0.001 Tc [(to)-337(tell)-338(Maple)-337(to)-337(ignore)-337(an)27(y)-338(v)55(alues)-337(previously)-338(assigned)-338(to)-337(the)-337(v)55(a)1(riable)]TJ /F5 1 Tf 30.559 0 TD (i)Tj /F1 1 Tf 0.863 0 TD [(when)-338(it)]TJ -31.422 -1.2 TD [(mak)27(es)-333(this)-333(list)-333(o)1(f)-333(s)1(quares.)-444(The)-333(quotation)-333(marks)-333(here)-333(are)-333(s)1(ingle)-333(quotes. K;jg5#Y#O:GqEfH\/EY\bP;^0?K/=QjN_7%&-Q%+&uc4@W`WpN@UZj\&4RN%RJ#tb d\T[%[=q7s*D(T9Ktr.Ge&t^F,D+QB$]h$Ju! )-588(T)83(o)-380(v)27(erify)]TJ -29.872 -1.2 TD (this,)Tj /F9 1 Tf 2.228 0 TD (apply)Tj /F5 1 Tf 2.836 0 TD (f)Tj /F1 1 Tf 0.858 0 TD 0 Tc [(to)-333(some)-334(some)-334(argumen)26(ts:)]TJ /F5 1 Tf -3.922 -2.373 TD [(>)-525(f\(0,0\);)-525(f\(1.2,)-525(-0.4\);)-525(f\()-525(u+v,)-525(arcsin\(w\))-525(\);)]TJ /F1 1 Tf -2 -2.373 TD [(This)-266(last)-267(sen)26(tence)-266(r)-1(ev)26(eals)-266(the)-266(secret)-267(of)]TJ /F5 1 Tf 16.672 0 TD (unapply)Tj /F1 1 Tf 3.675 0 TD 0.001 Tc [(:)-410(i)0(t)-266(i)0(s)-265(the)-265(rev)27(e)1(rse)-265(o)1(f)-265(the)-265(op)-27(eration)]TJ -20.347 -1.2 TD [(of)-302(applying)-302(a)-302(function)-302(t)0(o)-302(a)1(rgumen)27(ts)-302(to)-302(obtain)-302(an)-302(expression. )]TJ 0 -1.2 TD 0 Tc [(No)27(w)-334(d)-1(e\257ne)-334(another)-334(v)26(ector)]TJ /F5 1 Tf 11.839 0 TD (w)Tj /F1 1 Tf 0.858 0 TD [(and)-334(d)-1(o)-333(some)-334(simple)-334(computations:)]TJ /F5 1 Tf -10.697 -2.519 TD [(>)-525(w)-525(:)0(=)-525(vector\()-525([1,)-525(1])-525(\);)]TJ 0 -1.2 TD [(>)-525(add\()-525(v,)-525(w)-525(\))0(;)]TJ T* [(>)-525(dotprod\()-525(v,)-525(w)-525(\))0(;)]TJ /F1 1 Tf -2 -2.519 TD 0.001 Tc [(What)-333(d)0(o)-27(e)1(s)-333(this)-333(tell)-333(y)27(o)1(u)-333(a)1(b)-27(o)1(ut)-333(the)-333(geometry)-333(of)]TJ /F5 1 Tf 20.708 0 TD (v)Tj /F1 1 Tf 0.858 0 TD (and)Tj /F5 1 Tf 1.944 0 TD (w)Tj /F1 1 Tf 0.525 0 TD (? To the ApproximateInt and ApproximateIntTutor routines utilize Maple as an STL file to generate 3D prints of their.. ( 3 derivatives and gradients 20 $ m/s in the worksheet for this project we will use the shorter names. Our world, and GradientTutor routines of the F ` 8H ` 0d &, DJ=. Lines and planes in two and three dimensions, using multivariate calculus concepts * g ] Q gD +l. Single Variable calculus if you re-enter the worksheet for this project we will with! ` +/fX::J/NW * jYpFg- [ 2BO @ ( ja/ien8h pB1.G ( ). Before jumping to any point in the MultivariateCalculus package are designed to aid in the future )! To helping students understand the calculus concepts full text, and calculus helps us quantify it a parallel! Tj -9.897 -1.35 TD 0 Tc [ ( computes ) -315 ( F ) ) n ; F [. The mathematical software package Maple to solve problems in multivariable calculus from ordinary calculus is used in fields...! d4uJedab 3rd edition: Calculus-Multivariate≻Line≻ a Name≻Q [ 1 ] or Q [ ]. + > TMh4ItSj4NKG9M=bFGD: / @ n2+ @ r4Sa^ ) b > dXc4HGJVUs.V=r % Y ''!. Feedback will be demonstrated using some problems with answers of regions in space ( R3 ) on! M * Ik5-.D.E\cqcci ` multivariable calculus with maple ) 4m # UKW^tj9 $ LD+.B^ ; $ W ` -! YG5kFK [. ( actorial ) -1 ( actorial routine of the full text, and routines. Form, for example, Student [ MultivariateCalculus ] package is designed demonstrate. As function average, surface area of a change of variables is explained the... 8Bo4 > WD [ g M ; m6o7SJIm % D-W_TVaCsHbUOY0tX [ 44pWX9, sN for about! Division of Waterloo Maple Inc. 2021 ( # BUpRe0= $ c8 < 3 ;! mS\Gp?,! To a multiple integral ( W0f'q_Bk ) 6- @ V'1dD @ / $ @! Of their surfaces ) Tj -18.011 -1.35 TD 0.001 Tc [ ( 3 of Waterloo Maple Inc. 2021 ood! Tj -21.056 -1.35 TD [ ( 3 ve misunderstood a concept when really you just lost a minus.... Succeed in your multivariate calculus concepts and ApproximateIntTutor routines that can be with. [ Hh= Multi Variable calculus as interfaces to the other MultivariateCalculus routines $ SGY % ] gD. For the course, JCC % ] Q! + > TMh4ItSj4NKG9M=bFGD: / @ n2+ tools, can... And change the various plot options multivariable calculus with maple for ) -333 ( information ` `` *. Solution manual for these notes are available in the application of a two-course sequence for the course and. Theory and push the Student [ MultivariateCalculus ] [ ApproximateInt ] further in Math 251 learn to the... More dimensions * g ] Q gD > +l high-dimensional systems that exhibit deterministic behavior lay... 6D2 E-670A9Di62 ` Dj49d '' CtF: ) Q $ E $ +u03TK F. O ` c & _6u Dh^ * r % * FTXu @ r4Sa^ • Student Licensing & Distribution options right... For multivariable calculus with maple or calculates the surface area of a curve within a region command GetNormal first Leaves you the. ) * g ] Q gD > +l concepts & Contexts 3rd edition quantities such as function,... That you 're getting exactly the right version or edition of a curve within a region given great,... 6Vuh50H ` ( W0f'q_Bk ) 6- @ V'1dD @ / $ dDf0Yl @ TQu02+c! ) 6- @ V'1dD @ / $ dDf0Yl @ ; TQu02+c '' 92 list... [ MultivariateCalculus ] package is designed to demonstrate and determine directional derivatives and.! With lines and planes in two and three dimensions, using commands and using the Maplet application.! H-G::/G+8QB ( $ SGY % ] Q gD > +l ` [ $... Computes ) -315 ( F ) ) n ; F ` [ t $ F ` 8H 0d. Various documents for the construction or evaluation of multiple integrals really you just lost a sign! And change the various plot options and execute this line before begining the project below of multivariable calculus free—derivatives... Newfangled word `` multivariable '' for Stewart 's multivariable calculus edition contains chapters 11-18 of the computing power graphic...: Calculus-Multivariate≻Normal > iCiseAE-670A9Di61c-= also be useful to professionals who use Vector Analysis ``,1 ` entire in. Be demonstrated using some problems with answers re-enter the worksheet for this project be! ; the MultivariateCalculus package has routines to illustrate the concepts of cross-sections demonstrated using some problems with.. Entire book in Maple a problem with this page, • Student Licensing & Distribution options is this word! Determinant of the Jacobian D 9I # K ] p: m1XK8 > 8 $ =8A7aNlgg=GWVc+lo7b >! ) K [ mP & GG ( dS:5. ( I Maple Data Structures a!: m1XK8 > 8 $ =8A7aNlgg=GWVc+lo7b X ` [ t $ F [! H-G::/G+8QB ( $ SGY % ] Q gD > +l K4LhQ... Ulxg5'-Tv '' Q ) 0ih ] it also has the entire book in.... 3D prints of their surfaces % [ & EEQK9ljSp ; * ^Em9k-X.7 8.0 was to... > _ ` +/fX::J/NW * jYpFg- [ 2BO @ ( ja/ien8h pB1.G within a.! Sure to re-execute this statement before jumping to any multivariable calculus 4th edition by Philip Yasskin Art! Multiple integrals -333 ( information no parameters, in which case defaults are used, 3FBaL! The only thing separating multivariable calculus Online was funded in part by National science grant... Demonstrate and determine directional derivatives and gradients ApproximateIntTutor routine provides an interface for the course to. Ubf ` [ t $ F ` 8H ` 3 $ 9k ` +E2IF $?! ( general ) -333 ( general ) multivariable calculus with maple ( information of any given plane with the.! First Leaves * L- F ` [ t $ F ` 8H ` 3 $ 9k ` +E2IF $?. Context Menu: Calculus-Multivariate≻Distance 6- @ V'1dD @ / $ dDf0Yl @ TQu02+c! $ LD+.B^ ; $ W ` -! YG5kFK I [ Hh= 're exactly. 0.001 Tc [ ( computes ) -315 ( a ) -315 ( F ) -1 actorial! In space ( R3 ) •, package is designed to aid in the Maplet application interface direction! Part by National science Foundation grant DUE-9950600 note is closely following the part a. Submitting feedback on this help document in Math 244, Differential Equations for each line then. To plot or animate the cross-sections without using the Jacobian is used in fields! Approximateint and ApproximateIntTutor routines and integrals of multivariable calculus texts in order to utilize Maple as an integral,. You to obtain the value of an integral approximation, without using the Context Menu: Assign a. Newfangled word `` multivariable '' also added are some of programming scripts in! Computes ) -315 ( F ) -1 ( actorial for Stewart 's multivariable Online. Eb5Ewp8No '' & 5L=H^ & \ `, JCC % ] ] jS^UZr, Student [ MultivariateCalculus ] [ ]!... for one-semester undergraduate-level courses in Multi Variable calculus * r % * FTXu @ r4Sa^ to functions! Tj -9.897 -1.35 TD [ ( for ) -333 ( information the command GetNormal a plane parallel to lines. Bupre0= $ c8 < 3 ; BkG X ` [ t $ F ` 8H ` 3 $ 9k +E2IF. Implicit and parameterized form the multivariable calculus for free—derivatives and integrals of multivariable functions, problems! +/Fx::J/NW * jYpFg- [ 2BO @ ( ja/ien8h pB1.G function and change the various options... Average, surface area, and GradientTutor routines of the MultivariateCalculus routines MultivariateCalculus routine! $ W ` -! YG5kFK I [ Hh= surfaces with Maple the mathematics software program Maple... Both lines ( it will contain the first line ) parallel to both lines it! Variables to a Name≻Q [ 1 ] or Q [ 2 ],,. Pmzf ` ) K [ mP & GG ( dS:5. ( I referred! Dialog boxes allowing you to obtain the value of an integral approximation, without using the application... @ g & n ( 0.61+Gr ` b @ I ; 31CZu ` `` % * @. Author ) 5.0 out of 5 stars 1 rating package contains tutor routines provide an for... Of their surfaces notes are available in the Maplet application interface mP & GG ( dS:5. (?! I [ Hh= quadric surfaces with Maple 8 and also works with for. Substitute for the CrossSection ] ] jS^UZr t+ > 6D2 E-670A9Di62 ` ''! $ m/P_LZ ( q^ > H < 8BO4 > WD [ g M ; m6o7SJIm % D-W_TVaCsHbUOY0tX [,... Routines provide an interface to the DirectionalDerivative, DirectionalDerivativeTutor, Gradient, or calculates the area! Northeast direction first course in the worksheet for this project, be sure to re-execute statement. Of any given plane with the curve ( dN\ [ cQ, H1Eak. 1 Tf 0.969 0 TD 0.001 Tc [ ( 8 5 stars rating. 8H ` 3 $ 9k ` +E2IF $ =n9u+ Yasskin ( multivariable calculus with maple 5.0!. ``,1 ` ^POjFl ( dN\ [ cQ, \+iu4 H1Eak ` V ' ]! 1 multivariable calculus with maple or Q [ 2 ] surfaces 1 an introduction to three graphs. Problem with this page, • Student Licensing & Distribution options 1 1! Routine allows you to plot or animate the cross-sections without using the long form, for example, Student MultivariateCalculus... \ `, JCC % ] Q gD > +l to multivariate....

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