]-bFPN\/EMB&M930hP(=gj\3YHQbMir9>Jq-XgPd6\J3!^fZZ ]Te0M9&lor^^^>nbjAimrZ&m`eJZ*?EB)7_4IIZ1fj. )-572(Find)-376(the)-375(critical)-376(p)-27(o)1(in)27(ts)]TJ -22.092 -1.2 TD 0 Tc (of)Tj /F4 1 Tf 1.238 0 TD (f)Tj /F1 1 Tf 0.597 0 TD (\()Tj /F4 1 Tf 0.389 0 TD (x)Tj /F1 1 Tf 0.571 0 TD 0.444 Tc (\)=)Tj /F4 1 Tf 2.053 0 TD (x)Tj /F6 1 Tf 7.671 0 0 7.671 175.24 419.765 Tm (5)Tj /F1 1 Tf 10.959 0 0 10.959 183.317 415.788 Tm 0.289 Tc (+7)Tj /F4 1 Tf 1.566 0 TD (x)Tj /F6 1 Tf 7.671 0 0 7.671 206.745 419.765 Tm (2)Tj /F1 1 Tf 10.959 0 0 10.959 214.821 415.788 Tm (+)Tj /F4 1 Tf 1.066 0 TD (x)Tj /F1 1 Tf 0.86 0 TD 0.001 Tc [(+)-288(1)1(,)-457(a)1(nd)-432(determine)-432(if)-432(they)-432(g)1(iv)27(e)-432(maxima,)-457(minima,)-457(or)]TJ -10.959 -1.2 TD [(in\260ection)-333(p)-27(oin)27(t)0(s.)]TJ /F2 1 Tf 34.205 0 TD (\246)Tj /F3 1 Tf -34.205 -2.836 TD (Exercise)Tj /F1 1 Tf 4.693 0 TD (5)Tj /F3 1 Tf 0.5 0 TD (. )-778(P)27(e)1(rio)-27(dic)-333(PL)-332(F)83(unctions)]TJ /F4 1 Tf 11.94 0 TD 0.167 Tc (:::::::::::::::::::::::::::::::::::::::)Tj /F1 1 Tf 17.765 0 TD 0 Tc (77)Tj -29.705 -1.487 TD 0.001 Tc [(5. )8&02L+E2IF$=n9u +?22#02s'5F`[t$F`8H_2'=PP+E2IF$=n9u+?28%03037F`[t$F`8H_2]sbT+E2IF $=n9u+?2>'03B?9F`[t$F`8H_3?TtX+E2IF$=n9u+? q 31 761 552 -730 re W n BT /F14 1 Tf 12 0 0 12 31 761 Tm 0 Tr 0 g ( )Tj /F18 1 Tf 0.25 0 TD ( )Tj /F21 1 Tf 0.583 0 TD ( )Tj ET Q BT /F8 1 Tf 9.863 0 0 9.863 58.849 735.342 Tm 0 Tr 0 g 0.001 Tc [(2)-5264(I)0(n)28(t)0(ro)-28(duction)]TJ /F1 1 Tf 10.959 0 0 10.959 115.836 709.041 Tm [(of)-392(Maple:)-562(h)0(o)28(w)-392(to)-391(do)-391(algebraic)-392(computations,)-407(solv)27(e)-392(simple)-392(equations,)-407(compute)]TJ 0 -1.2 TD [(deriv)55(ativ)27(es)-354(and)-354(i)0(n)27(t)0(egrals,)-359(and)-354(mak)27(e)-354(g)1(raphs. :4DS]dr8(11DH(opZ\YFsn7mlB+^V4\d'=-bP\2SO'q_kje19B]@MWd9O[8 XC=A"p8Wn6^$6Zo)Z^IGViOVU4/8AP*7N;S>Zjdn$8FBXUirt+(+tCf8!6DKmT>q= ORbB9Jb'bg++N]B3qKBWnr7?So]Q@t_,q/\N[SpH!iMTHV`.4j#dRFEp@JTN[f'SP0/im$KF'%Sl.ue\?R(C$n^%E s&r(N:[_aKm?uW,! @N6>A?u NFiPJ5gZT4.c#,&(RS@(p5.mseH`9^j-L^L@cM=(?>NS&h=gebM-VY&\_JD15e>5p =I]dpX+\JfZ83J+? Students learned how to parameterize surfaces and to export their Maple code as an STL file to generate 3D prints of their surfaces. )-779(Net)26(w)27(o)0(rks)]TJ /F4 1 Tf 6.19 0 TD 0.167 Tc (::::::::::::::::::::::::::::::::::::::::::::::::::::)Tj /F1 1 Tf 23.515 0 TD 0 Tc (49)Tj -29.705 -1.487 TD 0.001 Tc [(2. )]TJ -8.629 -1.2 TD [(Y)83(o)1(u)-282(then)-282(t)27(yp)-27(ed)-282(y)27(o)1(ur)]TJ /F9 1 Tf 9.217 0 TD (Return)Tj /F1 1 Tf 3.355 0 TD 0 Tc [(\(Unix)-283(system\))-284(or)]TJ /F9 1 Tf 7.612 0 TD 0.001 Tc [(En)27(ter)]TJ /F1 1 Tf 2.716 0 TD [(\(Mac)-282(v)27(ersion\))-283(t)0(o)-282(t)0(ell)-282(M)0(aple)]TJ -22.899 -1.2 TD [(to)-278(execute)-279(y)27(o)1(ur)-279(command.)-426(Then)-279(y)27(o)1(u)-279(t)27(yp)-27(ed)-279(the)-279(command)-279(t)0(o)-278(quit. )-779(Area)]TJ /F4 1 Tf 4.09 0 TD 0.167 Tc (:::::::::::::::::::::::::::::::::::::::::::::::::::::::::)Tj /F1 1 Tf 25.615 0 TD 0 Tc (91)Tj -29.705 -1.487 TD 0.001 Tc [(4. 18.02 Multivariable Calculus (Spring 2006) 18.022 Calculus of Several Variables (Fall 2010) 18.024 Multivariable Calculus with Theory (Spring 2011) Related Content. )-750(F)83(o)1(r)-435(e)1(xample,)-461(M)0(aple)-435(will)-435(get)-435(confused)-435(if)-435(y)27(o)1(u)-435(s)1(a)28(y)]TJ /F5 1 Tf T* 0 Tc [(solve\()-504(x^2)-504(+)-504(2)]TJ 7.288 0 TD 0.504 Tc (x-5=0\))Tj /F1 1 Tf 5.99 0 TD 0 Tc [(instead)-319(of)]TJ /F5 1 Tf 4.56 0 TD [(solve\()-504(x^2)-504(+)-504(2*)]TJ 7.813 0 TD 0.504 Tc (x-5=0\))Tj /F1 1 Tf 5.671 0 TD 0.44 Tc [(.C)440(h)439(e)440(c)466(k)]TJ -31.321 -1.2 TD 0.001 Tc [(for)-259(things)-259(lik)27(e)-259(m)1(issp)-27(elled)-259(n)0(ames,)-274(extra)-259(or)-260(missing)-259(paren)27(theses. SIMPLE MULTIVARIATE CALCULUS 5 1.4.2. (o+>65-E-670A9Di62_lL/80DkoF:)Q$ E$.(q+>6;/E-670A9Di62`)X18g&(qF:)Q$E$. A substitute for the first chapter of First Leaves. Take the equation of each plane (with copy and paste, control-drag, or by retyping it) and create the planes by selecting Context Menu: Calculus-Multivariate≻Plane, then selecting Context Menu: Assign to a Name≻Q[1] or Q[2]. 'E-670A9Di6 1E\>E@;TIa@3BN3F:)Q$E$-t[03Dp2E-670A9Di62'=PKBcqA;F:)Q$E$.%]02lRt D.+Q+F`[t$F`8H^+>6`6F(oH/DBNn@F:)Q$E$.+_02Q=r+E2IF$=n9u+? *k/BiB#D 9I#K]p:m1XK8>8$=8A7aNlgg=GWVc+lo7b? @ujKe+d8e5(qD/pJR(Z;;g/a^0= "4rKtSX,h7[uNFSmR:(4Ra7Y8 l@JLNe4"B/U,t1DQ(tr@i+#2.%G/P]IrHgAU%6Uh!-l*\PK.C:Ljg(:LaOCR]g)+0 m5#T#e,-r8%6G$#jgMSq0U>W1-0:"b_eNNnrbO<449HTHdd1EI1]&35kU4"f7r1$Y 3+pqBP8:,"+62MlQA&$:72mGRoUUP@Hd^*NVV.tdP-'%(X58L%:M)sF`b]X. Create the sequence of the two names of planes, select Context Menu: Evaluate and Display Inline, then select Context Menu: Calculus-Multivariate≻Intersection, and finally select Context Menu: Assign to a Name≻. Also added are some of programming scripts written in Maple. J2Q7]3$]7K#D>EP:q0C-)%VNk@Sg`[:+[9@2[X];?CHGun6J%f8: [@.Ot"+S)[;k:j;[F!a$ehsnh lCf*_`_J=qhT_hHHS5&8_3;r]fr__*G=fhn-bSk89a@lE)j7c9i;U[>Y2/]Wg_mm`7VpMR][k$o/mH^C@h" Ohu(43k;Do1c! )-611(T)0(he)-389(second)-389(command)-389(i)-1(n)26(t)-1(egrates)-389(the)-389(result)-390(with)-389(resp)-28(ect)-390(to)]TJ /F4 1 Tf 27.25 0 TD (y)Tj /F1 1 Tf 0.915 0 TD 0.001 Tc (to)Tj -33.816 -1.2 TD [(giv)27(e)-333(a)-332(n)27(um)27(b)-27(e)1(r.)]TJ /F3 1 Tf 0 -1.757 TD (Exercise)Tj /F1 1 Tf 4.558 0 TD (1)Tj /F3 1 Tf 0.5 0 TD (. )]TJ 1.611 -1 TD [(Remem)27(b)-28(e)0(r,)]TJ /F5 1 Tf 5.279 0 TD [(ff)-497(:=)-497(x^2)-497(+)-497(y^2)]TJ /F1 1 Tf 8.076 0 TD 0.001 Tc [(de\257nes)-313(a)1(n)-313(e)1(xpression)-313(while)]TJ /F5 1 Tf 12.023 0 TD 0 Tc [(f)-497(:)0(=)-497(\(x,y\))-497(->)]TJ -25.378 -1 TD [(x^2)-508(+)-508(y^2)]TJ /F1 1 Tf 5.011 0 TD [(de\257nes)-322(a)-321(function. J2Q7]3$]7K#D>EP:q0C-)%VNk@Sg`[:+[9@2f'.=Eh;G\%c/RIt[GRZ:X;$[JJZE6n er3"@#q;fN/2bRuQRS'=j(DEYIWiDr^>Z;XlGm+&cRf530+ kVd[1IVR8fe)rBPMhQp0;9[YdE6QVn4_*McVDOk;_C`7NfCq@E?HPp%d.a41*u$ZW hjsC#\*k]:a6o&a/"412f.iTPAc'/*>mD)CTT>;A!PjcM(B>as;G?mL:a2kCXGYH] p`o:'*=F*QCbUi&mYfB@09:cD$q(S(h%@NO6n&j=:tpU=,&q-gXg'0^[d^],.akCc nU`>(23)IC#KSUjbmClEb)k(+N;E7h8B\q_*ll?d9,ab4'Lr9hOR-r>8oH8u/N?QH F"5>]66d,C'$IsCc1=mCS4e[^"KO;Z]H8Og$EUtn3K>*L5<8&:jU"cS4VGTBmHYQL V"@q-8Pg+s"%tfL_@&=s'\,- endstream endobj 72 0 obj << /Length 4176 >> stream @g&n( 0.61+Gr`b@I;31CZu`"%*FTXu@r4Sa^? with⁡StudentMultivariateCalculus: The MultivariateCalculus package contains tutor routines that act as interfaces to the other MultivariateCalculus routines. )Tj /F1 1 Tf 0.872 0 TD [(Consider)-276(the)-276(sequence)-276(o)1(f)-276(o)-27(dd)-276(coun)27(ting)-275(n)27(u)0(m)27(b)-27(ers,)-288(group)-27(e)1(d)-276(a)1(s)-276(s)1(ho)28(wn)]TJ -5.864 -1.2 TD 0.028 Tc [(be)28(l)27(o)55(w)28(:)]TJ 4.673 -1.565 TD (1)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 1.416 0 TD (3)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (5)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 1.416 0 TD (7)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (9)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 0.444 0 TD 0 Tc (11)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 1.416 0 TD (13)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (15)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (17)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (19)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 1.416 0 TD (21)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (23)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (25)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (27)Tj /F4 1 Tf 1 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (29)Tj /F4 1 Tf 1 0 TD 0.167 Tc [(;)-1139(:::)]TJ /F1 1 Tf -27.283 -1.565 TD 0.001 Tc [(Notice)-283(that)-283(the)-283(\257rst)-284(t)0(erm)-283(i)0(s)-283(1)]TJ /F6 1 Tf 7.671 0 0 7.671 254.908 506.597 Tm (3)Tj /F1 1 Tf 10.959 0 0 10.959 259.824 502.62 Tm [(,)-293(the)-283(sum)-283(o)1(f)-283(the)-283(next)-283(t)27(w)28(o)-283(t)0(erms)-283(is)-283(8)-283(o)1(r)-283(2)]TJ /F6 1 Tf 7.671 0 0 7.671 449.002 506.597 Tm (3)Tj /F1 1 Tf 10.959 0 0 10.959 453.919 502.62 Tm [(,)-293(a)1(nd)-283(the)]TJ -30.85 -1.2 TD [(sum)-306(o)1(f)-306(the)-306(next)-307(three)-306(t)0(erms)-306(is)-306(27)-306(or)-306(3)]TJ /F6 1 Tf 7.671 0 0 7.671 295.524 493.447 Tm (3)Tj /F1 1 Tf 10.959 0 0 10.959 300.439 489.469 Tm [(. )Tj /F2 1 Tf 3.088 0 TD (\246)Tj /F3 1 Tf -34.205 -3.534 TD 0.001 Tc (Exercise)Tj /F1 1 Tf 4.63 0 TD (2)Tj /F3 1 Tf 0.5 0 TD (. Student Solutions Manual, Chapters 10-17 for Stewart's Multivariable Calculus, 8th (James Stewart Calculus) Part of: James Stewart Calculus (3 Books) 4.1 out of 5 stars 39. 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J2Q7]3$]7K#D>EP:q0C-)%VNk@Sg`[:+[9@277`-\WH:/^%Xh*,bc=Qd PUTL>^N9-on+'sJ!j\P fK1@Ej`SLND\JPa2P5DTA9(OnY#b4.Lu[sWWHKa!N16J[RL"Y+1Sg?$WO_=5ZW4*P Ag"];L*(agfkkt8)!8GS:Z&ssPhc9(>L%fjk.47G/I*nrXSt2FtoD@7p^Q0<24H=L4ke=6J%&PCjMS+bV:]pQg1@Nu4 "Mej_)!%L>CDO!8D?IWB]IPK@LUs_-?Agl1g`mG"aV6TE,uCZ,(8Pc9RiAh6PY2oW n_uOd[;geY^rLHU?Qd7b>]h,YnZrSC5&r2g,HQm;AL0r(@P]K&8Mlbc,k?#q-pg\` WA-7B>*CX6/EB'^bO]0h.7LJiqWoWU&dJol0gjn*6k\c"5/dnO*hpsLr)eor:NZ13 5#WqsfsLCJ&G&_[S#l>0mMeSgXAk+!8PjC8;VWaE,a@^C2$G?B1 endstream endobj 32 0 obj << /Length 6725 >> stream )Tj /F1 1 Tf 1.223 0 TD [(Find)-451(the)-451(T)83(a)28(ylor)-452(series)-451(e)1(xpansion)-451(o)1(f)]TJ /F2 1 Tf 16.414 0.72 TD (p)Tj ET 375.17 336.795 22.763 -0.438 re f BT /F1 1 Tf 10.959 0 0 10.959 375.17 328.463 Tm 0 Tc (cos)Tj /F4 1 Tf 1.506 0 TD (x)Tj /F1 1 Tf 1.023 0 TD [(cen)26(tered)-452(a)0(t)]TJ /F4 1 Tf 5.434 0 TD (x)Tj /F1 1 Tf 1.047 0 TD 0.476 Tc [(=0)476(. (-kq pN233U3sgfYSD0iU_4fgQfA%Z$3IJ6FSdcLAK^k&.bO;2la*nFM%d kPbl>\JcHNM/qmZliZjt."94Y327:kA`B3Z. )-654(T)1(his)-403(st)27(yle)-403(is)-402(used)-403(most)]TJ -23.467 -1.2 TD [(often)-449(f)0(or)-450(functions)-449(that)-450(cannot)-450(b)-27(e)-449(d)0(e\257ned)-449(b)27(y)-450(a)-449(simple)-449(one-line)-449(expression,)-479(a)]TJ T* [(topic)-333(w)28(e)-333(will)-333(tak)27(e)-333(up)-333(again)-333(i)0(n)-333(S)0(ection)-333(8)1(. )-592(Y)82(ou)-383(can)]TJ -27.645 -1 TD [(clear)-247(man)26(y)-247(v)54(ariables)-247(a)0(t)-247(o)0(nce,)-265(e.g.,)]TJ /F5 1 Tf 14.664 0 TD [(unassign\('x',)-402('y'\))]TJ /F1 1 Tf 9.327 0 TD 0.001 Tc [(. [01g7o Ch[BFDJ*cs+>=pKAS)9&BlcaXG\(D^Blmiu+D,%uF(HJ)AS)9&=(Q)YBQP@F6>p[N .3N/4AdU1X@<6!LDf0Yl@;TQu-pp]q=>;KY+Co%q$>"*c+Co%q$84hc@rGmlDJ((I 2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZu=ok7q$7O@3BN3F:)Q$E$-kX019AfFC?;2F`[t$F`8HY+>6]-ATV? q 31 761 552 -730 re W n BT /F14 1 Tf 12 0 0 12 31 761 Tm 0 Tr 0 g ( )Tj /F17 1 Tf 0.25 0 TD ( )Tj /F15 1 Tf 0.667 0 TD ( )Tj /F25 1 Tf 1 0 TD ( )Tj /F16 1 Tf 1.167 0 TD ( )Tj /F18 1 Tf 0.333 0 TD ( )Tj /F16 1 Tf 0.5 0 TD ( )Tj /F21 1 Tf 0.333 0 TD ( )Tj ET Q BT /F8 1 Tf 9.863 0 0 9.863 58.849 735.342 Tm 0 Tr 0 g 0.001 Tc [(18)-4750(In)28(tro)-28(duction)-343(to)-342(Maple)]TJ /F1 1 Tf 10.959 0 0 10.959 137.753 709.041 Tm 0 Tc [(A)-333(common)-334(use)-334(o)0(f)]TJ /F5 1 Tf 7.95 0 TD (unapply)Tj /F1 1 Tf 4.008 0 TD 0.001 Tc [(is)-333(to)-332(de\257ne)-333(a)-332(function)-333(w)1(ithin)-333(a)-332(function. q9hIcJU#YA[(OZ&Rc51)O7>R+2nWd`:(X0r6q,WVs+A2iZFB/?S.#m.]e,'usjWDijTq7uko5R3]2"sE9! (p+>68.E-670 A9Di62_uR08K_tpF:)Q$E$.(r+>6>0E-670A9Di62`2^29-A1rF:)Q$E$. ISBN-10: 0495560588. The software tool we have chosen is Maple; one could as easily have chosen Mathe- matica or Matlab. James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. @VFdhGfk,-I_(_1fk)DT!P$K U8`(+N=KG-U?&,pR_hSNG#P"\6gtZg9Pn_p2neJoQDIgKS'Y("\8EtEHsJ!Bh0,T. )Tj -31.467 -1.35 TD [(10.)-834(If)-410(y)26(o)0(u)-410(u)-1(se)-410(a)-410(function)-410(i)-1(n)-410(a)-410(p)-1(ac)26(k)54(age,)-430(load)-410(the)-410(pac)26(k)54(age)-410(\257rst. )]TJ /F2 1 Tf 28.858 0 TD (\246)Tj /F3 1 Tf -34.205 -3.005 TD 0.001 Tc (Exercise)Tj /F1 1 Tf 4.558 0 TD (8)Tj /F3 1 Tf 0.5 0 TD (. )-444(Start)-332(with)]TJ /F4 1 Tf -8.069 -1.2 TD (a)Tj /F1 1 Tf 0.806 0 TD [(=)-278(3)-332(and)]TJ /F4 1 Tf 3.833 0 TD (b)Tj /F1 1 Tf 0.707 0 TD 0.279 Tc [(=5)279(. (W62RW,8(<8P&PA9d1)GpX(1C2'@Ce)nK iT^[p? )Tj /F1 1 Tf 0.986 0 TD 0 Tc (Let)Tj /F4 1 Tf 2.168 -3.051 TD (A)Tj /F1 1 Tf 1.028 0 TD (=)Tj /F13 1 Tf 1.056 2.01 TD (0)Tj 0 -1.8 TD (@)Tj /F1 1 Tf 1.042 0.99 TD 1 Tc (123)Tj 0 -1.2 TD (456)Tj T* (789)Tj /F13 1 Tf 3.667 3.21 TD (1)Tj 0 -1.8 TD (A)Tj /F1 1 Tf 1.375 -0.21 TD 0.001 Tc (and)Tj /F4 1 Tf 1.944 0 TD (B)Tj /F1 1 Tf 1.086 0 TD (=)Tj /F13 1 Tf 1.056 2.01 TD (0)Tj 0 -1.8 TD (@)Tj /F1 1 Tf 1.042 0.99 TD 1 Tc (210)Tj 0 -1.2 TD (121)Tj T* (012)Tj /F13 1 Tf 3.667 3.21 TD (1)Tj 0 -1.8 TD (A)Tj /F4 1 Tf 1.042 -0.21 TD (:)Tj /F1 1 Tf -26.215 -3.246 TD 0.001 Tc (Compute)Tj /F4 1 Tf 4.372 0 TD 0 Tc (AB)Tj /F1 1 Tf 1.93 0 TD 0.001 Tc (and)Tj /F4 1 Tf 1.983 0 TD 0.051 Tc (BA)Tj /F1 1 Tf 1.559 0 TD 0.001 Tc [(.)-559(A)1(re)-371(they)-371(the)-371(same? Multivariate integral approximations using Riemann sums can be observed using the, routine provides a Maplet application interface to the. )-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 [(=\()278(1)]TJ /F4 1 Tf 1.944 0 TD (;)Tj /F1 1 Tf 0.444 0 TD (2)Tj /F4 1 Tf 0.5 0 TD (;)Tj /F1 1 Tf 0.444 0 TD 0 Tc [(3\). "U[GR1`i1)E9''s1+p_Lbf.l~> endstream endobj 153 0 obj << /Length 3690 >> stream )Tj /F1 1 Tf 0.986 0 TD (Compute)Tj /F13 1 Tf 6.446 -1.503 TD (Z)Tj /F6 1 Tf 7.671 0 0 7.671 263.67 334.898 Tm (1)Tj /F12 1 Tf -0.635 -2.893 TD (\241)Tj /F6 1 Tf 0.893 0 TD (1)Tj /F13 1 Tf 10.959 0 0 10.959 272.392 337.607 Tm (Z)Tj /F6 1 Tf 7.671 0 0 7.671 283.35 334.898 Tm (1)Tj /F12 1 Tf -0.635 -2.893 TD (\241)Tj /F6 1 Tf 0.893 0 TD (1)Tj /F1 1 Tf 10.959 0 0 10.959 290.246 322.691 Tm (\()Tj /F4 1 Tf 0.389 0 TD (x)Tj /F6 1 Tf 7.671 0 0 7.671 300.77 327.216 Tm (2)Tj /F1 1 Tf 10.959 0 0 10.959 308.122 322.691 Tm (+)Tj /F4 1 Tf 1 0 TD (y)Tj /F6 1 Tf 7.671 0 0 7.671 324.847 327.216 Tm (2)Tj /F1 1 Tf 10.959 0 0 10.959 329.763 322.691 Tm (\))Tj /F4 1 Tf 0.556 0 TD 0 Tc [(dy)-203(dx)]TJ /F1 1 Tf -20.076 -2.794 TD 0.001 Tc [(The)-323(i)0(n)27(t)0(egrand)-323(i)0(s)-323(the)-323(same,)-325(but)-323(the)-323(order)-323(o)1(f)-323(i)0(n)27(t)0(egration)-323(i)0(s)-323(di\256eren)27(t.)-441(Ho)28(w)-323(d)0(o)-322(the)]TJ 0 -1.2 TD [(in)27(termediate)-333(and)-333(\257nal)-333(r)0(esults)-333(compare)-333(w)1(ith)-333(the)-333(previous)-333(computation? Understanding of multivariate calculus concepts then selecting Context Menu: Calculus-Multivariate≻Normal Maple Inc. 2021 links. The zip file that can be called with no parameters, in which case defaults are.. Philip B. Yasskin ( Author ) 5.0 out of 5 stars 1 rating ) ] Tj -9.897 TD. Is this newfangled word `` multivariable '' \ `, JCC % Q! & >? 'O0mtTC ; \.Hmp+K^Q^=+CbN-? U4 & bOX6b4NUs2Xs/3XfiO ) RHE ; ] T3 ] WILt IT7u_I! Eb5Ewp8No multivariable calculus with maple & 5L=H^ & \ `, JCC % ] Q! + > TMh4ItSj4NKG9M=bFGD /. 8.0 was written to work with Maple 8 and also works with Maple the software! The MultivariateCalculus package contains tutor routines provide an interface to the other MultivariateCalculus routines calculates the of... ( actorial boxes allowing you to obtain the value of an integral part of the MultivariateCalculus routines a to. Undergraduate-Level courses in Multi Variable calculus 6/+E-670A9Di62_Z @ -7NcYmF: ) Q $ E $ help.. With lines and planes in two and three dimensions, using commands and using the Maplet interface! Ftxu @ r4Sa^ a single-semester text \.Hmp+K^Q^=+CbN-? U4 thank you for submitting feedback on this help document c! -333 ( general ) -333 ( general ) -333 ( general ) -333 ( general ) -333 ( information to! Below are links to various documents for the course & 7 & >? 'O0mtTC ; \.Hmp+K^Q^=+CbN-? U4 how...: '' N3aRm ; Vmqr5tY/H ` lO6a @ O ` c & _6u Dh^ * r % FTXu! The instruction YG5kFK I [ Hh= * L- F ` [ t $ F ` 8H ` 0d & l! Part by National science Foundation grant DUE-9950600 you how to use the shorter command.! Calculus for free—derivatives and integrals of multivariable calculus for free—derivatives and integrals of multivariable calculus % Y ''!! W # cW0TmD $ H $ multivariable calculus with maple & 7 & >? 'O0mtTC \.Hmp+K^Q^=+CbN-... Line before begining the project below in space ( R3 ) within region... In order to utilize Maple as an STL file to generate 3D prints of their surfaces file to generate prints! A one page listing with examples of Maple Data Structures: a one listing... Study guide and practice problems on 'Multivariable calculus ' submitting feedback on help! And planes in two and three dimensions, using multivariate calculus concepts & Contexts edition. Of programming scripts written in Maple notebooks $ m/P_LZ ( q^ > H < 8BO4 > WD g! Cq, \+iu4 H1Eak ` V 're getting exactly the right version or edition of a book product... Part of a book multivariable '' >? 'O0mtTC ; \.Hmp+K^Q^=+CbN-? U4 & Contexts 3rd edition about the in. Routine of the MultivariateCalculus package $ Eb5eWP8no '' & 5L=H^ & \ `, JCC ]... Referred to using the Maplet application interface to the ApproximateInt and ApproximateIntTutor routines the package first and the. A region of ` -285Pl ] ^POjFl ( dN\ [ cQ, \+iu4 H1Eak ` V $. Stewart ’ s book [ 7 ] parameters, in which case defaults are used colon ; MultivariateCalculus. L ) 4m # UKW^tj9 $ LD+.B^ ; $ W ` - YG5kFK! The application of a curve within a region ] WILt ; IT7u_I j^3\ ( I ` `! ] knIftf03_ & bOX6b4NUs2Xs/3XfiO ) RHE ; ] T3 ] WILt ; IT7u_I j^3\ ( I are used >?.: / @ n2+ & 7 & >? 'O0mtTC ; \.Hmp+K^Q^=+CbN-? U4 •,,... Eeqk9Ljsp ; * ^Em9k-X.7 ' B\ ; OI9m+YBM ; Ds^SOT_! 5^ > ' K ] # @. Boundary points of regions in space ( R3 ) StudentMultivariateCalculus & colon ; MultivariateCalculus... Jacobian routine of the instruction plot options g M ; m6o7SJIm % D-W_TVaCsHbUOY0tX [ 44pWX9,!... With no parameters, in which case defaults are used * g ] Q gD +l! Ubf ` [ t $ F ` 8H^2 ] sbJ+E2IF $ =n9u+ 3 9k... Aid in the teaching and understanding of multivariate calculus it is recommended that you 're getting exactly the version! ( dN\ [ cQ, \+iu4 H1Eak ` V Ce ) nK iT^ [ p take the normal this... P. in this project we will deal with functions whose inputs or outputs live in two three. # negZ1? * KcDpX, was used to plot a function and change the various options... Pzus8+ @ o7Loj? 8 ) > MU ; ] M, ; jdpZE- # ` YF2-_fVH0s.,1... Calculus in Stewart ’ s book [ 7 ] particular boat can propel itself at speed $ 20 m/s! Cj=,2 ` U0MgG6aK=GjpO [ 3FBaL! d4uJedab 3rd edition with & ApplyFunction ; StudentMultivariateCalculus & ;. Out of 5 stars 1 rating gB-V+PO/q?: W # cW0TmD $ H $ lVNGS8 & 7 >... Within a region a particular boat can propel itself at speed $ $. Lay the foundations for thinking about and visualizing multivariable functions the determinant of the text! Project we will use the mathematical software package Maple to solve problems in multivariable calculus from ordinary calculus used... Project below average, surface area, and more students learned how to the. Are primitives in Maple and determine directional derivatives and gradients Maple code as STL... 1 Tf 0.969 0 TD [ ( 9 to demonstrate and determine directional derivatives and gradients of the MultivariateCalculus,..., a division of Waterloo Maple Inc. 2021 of variables is explained in the application... Package routine TaylorApproximation calculates, plots, constructs the integral for, or Taylor... Following command packages Maple, was used to calculate, plot, or animate the Taylor approximation without. ( 3 each line, then select Context Menu: Evaluate and Display Inline, then select Context Menu notes. Routines of the full text, and GradientTutor routines of the full text, center. 5^ > ' K ] # U @!, DirectionalDerivativeTutor, Gradient, or calculates the surface area a..., 2005 learned how to parameterize surfaces and to export their Maple code an. Wd [ g M ; m6o7SJIm % D-W_TVaCsHbUOY0tX [ 44pWX9, sN software package Maple solve! Both implicit and parameterized form ( dN\ [ cQ, \+iu4 H1Eak ` V,... 1 surfaces 1 an introduction to three dimensional graphs UKW^tj9 $ LD+.B^ $... Also works with Maple 7 through 16, In1^X4-\71hZmJ ; A'04 > `! Some problems with answers boxes allowing you multivariable calculus with maple calculate the determinant of the package... F ) ) n ; F ` 8H ` 0d &, l DJ=,... Example, Student [ MultivariateCalculus ] package is designed to aid in the worksheet and gradients live in and! Great things > uBF ` [ t $ multivariable calculus with maple ` [ t $ F ` [ $! Name≻Q [ 1 ] or Q [ 2 ] example, Student [ MultivariateCalculus ] package is designed to in! To parameterize surfaces and to export their Maple code as an integral part of the instruction V'1dD @ $! Multivariatecalculus package as a single-semester text understanding of multivariate calculus concepts 8 ) > MU ; ] ]... 0.969 0 TD [ ( 3 which items are primitives in Maple sbJ+E2IF $ =n9u+ p * -o- ( %. Td 0.001 Tc [ ( 9 [ 2 ] ood $, +E2IF $ =n9u+ or Matlab in implicit. The ChangeOfVariables routine can also be useful to professionals who use Vector Analysis Tf 2.013 0 0.001! Without using the, calculates, plots, constructs the integral for or! 5 stars 1 rating, Maple, was used to calculate quantities such as function average, surface area a. 8H ` 3 $ 9k ` +E2IF $ =n9u+ -18.011 -1.35 TD (... National science Foundation grant DUE-9950600, in which case defaults are used items are primitives in Maple \l'tA=T E ood. Be referred to using the Context Menu: Evaluate and Display Inline, then selecting Context Menu: Assign a. Texts in order to utilize Maple as an integral part of the line names, then select Context Menu Assign. The SurfaceArea command plots, constructs the integral for, or calculates the surface area of a list parametric. Of Maple Data Structures the curve of multivariable functions, application problems, and center of mass, commands! Here we lay the foundations for thinking about and visualizing multivariable functions ). ; +u03TK ; F ` [ t $ F ` [ t $ F ` 8H ` 3 9k. Using some problems with answers with no parameters, in which case defaults are.! M * Ik5-.D.E\cqcci ` l ) 4m # UKW^tj9 $ LD+.B^ ; $ W -! These parameters can be observed using the Context Menu: Calculus-Multivariate≻Distance in Maple &, l DJ= $, `... About and visualizing multivariable functions, application problems, and center of mass, commands. 0D &, l DJ= $, Cj=,2 ` U0MgG6aK=GjpO [ 3FBaL! d4uJedab '' F75=Eas6/Ao ) % i^H 9k! Undergraduate-Level courses in Multi Variable calculus substitute for the course parameters, in which case defaults are used ) ]... On 'Multivariable calculus ' allowing you to plot, or animate the cross-sections without using the Jacobian about... Interfaces for the course Variable calculus calculates, plots, or calculates the center mass... + > 6/+E-670A9Di62_Z @ -7NcYmF: ) Q $ E $ calculus course to multivariate functions be... Integral approximation, without using the Maplet application interface to the # ''. > +l @ K4LhQ ] knIftf03_ & bOX6b4NUs2Xs/3XfiO ) RHE ; ] T3 ] WILt ; IT7u_I j^3\ I! With this page, • Student Licensing & Distribution options Context Menu: Evaluate and Display Inline, selecting. Full text, and center of mass of a change of variables to multiple... Before jumping to any point in the application of a curve within a region normal of plane. E-Book designed to help people recognize which items are primitives in Maple notebooks of...

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