9 years, 7 days

## evalf or use a decimal in the number...

Note pi should Pi.

Do cos(Pi/2.) or evalf(cos(Pi/2)

## animate...

So if Zylinder is your variable of the CAD file (I didn't have an STY file don't know what CAD program that came from - so I downloaded a sample .STL CAD file and used that for trial - should work the same.

I believe your formating of the animate command is incorrect, try ....

with(plots):with(plottools):

Zylinder:=Import("c:/...")

animate(rotate,[Zylinder,A,0,0],A=0..2*Pi)

With the STL file I used (I can upload if anyone wants it for a working example-let me know) I used an interval of 1..5 and it took 43 seconds to generate.

## In some ways I agree.  However I th...

In some ways I agree.  However I think you've struck on a good point.  Any Mapleprimes user who's count is above a certain value can delete whatever they want.  Really, it should be flagged with good reason to be deleted but first evaluated before being deleted by the site administrators.

Personally I have never deleted someone elses content.  You can ask site administrators to restore content if you ask them, if you believe a post/question was deleted wrongly.

## Options...

You can try changing Options -> Precision

Or through Limit expression length

## Force variable of separation by product...

@farjad_etg There is a workaround for 2016.1 using boundary conditions (haven't been able to check with 2016.0).  That is to force maple to begin by trying to separate the variables by product.

pdsolve({equa1, u(0,y) = 0, D[1](u)(0,y) = 0},HINT=`*`);

u(x, y) = (1/6)*y*x^2*(3+x)

My guess is that it circumvents an issue that prevents it from evaluating at least in 2016.1.

## lprint?...

Maybe lprint?

plot([cos(3*t), sin(2*t), t = 0 .. 2*Pi]);

lprint(%);
PLOT(CURVES(Matrix(209, 2, {(1, 1) = HFloat(1.), (2, 1) = HFloat(.995093264101945540), (2, 2) = HFloat(0.660209573197723110e-1), (3, 1) = HFloat(.982874948801488735), (3, 2) = HFloat(.123241184241304202), (4, 1) = HFloat(.960415331794754912), (4, 2) = HFloat(.187095559833458880), (5, 1) = HFloat(.928692888370737157), (5, 2) = HFloat(.250583123026205390), (6, 1) = HFloat(.888341049365922508), (6, 2) = HFloat(.312716031931642657), (7, 1) = HFloat(.843435582881161494), (7, 2) = HFloat(.369155248626400478), (8, 1) = HFloat(.789737481048331080), (8, 2) = HFloat(.426189998289056848), (9, 1) = HFloat(.726988273906466032), (9, 2) = HFloat(.483440255170793975), (10, 1) = HFloat(.657713718477610843), (10, 2) = HFloat(.538518445847828708), (11, 1) = HFloat(.580124538604127493), (11, 2) = HFloat(.592863355868342379), (12, 1) = HFloat(.507061588853425005), (12, 2) = HFloat(.638603964793882595), (13, 1) = HFloat(.420238020776815213), (13, 2) = HFloat(.687513346078893139), (14, 1) = HFloat(.328996184828279803), (14, 2) = HFloat(.733667728275790187), (15, 1) = HFloat(.238041581986947248), (15, 2) = HFloat(.775157844789451933), (16, 1) = HFloat(.153568372599895503), (16, 2) = HFloat(.810152318374346758), (17, 1) = HFloat(0.516903761583032209e-1), (17, 2) = HFloat(.848276396747285943), (18, 1) = HFloat(-0.350807193735846248e-1), (18, 2) = HFloat(.877483383648545501), (19, 1) = HFloat(-.135639118077677007), (19, 2) = HFloat(.907755898501108049), (20, 1) = HFloat(-.223529985692667771), (20, 2) = HFloat(.931125642447514057), (21, 1) = HFloat(-.317881575278769035), (21, 2) = HFloat(.952961215633009173), (22, 1) = HFloat(-.404900842257057803), (22, 2) = HFloat(.969970900850029349), (23, 1) = HFloat(-.491924216375459078), (23, 2) = HFloat(.983712180075785425), (24, 1) = HFloat(-.567748258469063294), (24, 2) = HFloat(.992677943036860744), (25, 1) = HFloat(-.644426299186268925), (25, 2) = HFloat(.998390136485883373), (26, 1) = HFloat(-.717714250173252410), (26, 2) = HFloat(.999949223787556019), (27, 1) = HFloat(-.775669174171986331), (27, 2) = HFloat(.997671804246988203), (28, 1) = HFloat(-.831619946383563624), (28, 2) = HFloat(.991421294045069290), (29, 1) = HFloat(-.881666027915066430), (29, 2) = HFloat(.980855601678915945), (30, 1) = HFloat(-.922547877554730666), (30, 2) = HFloat(.966521170869912294), (31, 1) = HFloat(-.954145429505132481), (31, 2) = HFloat(.948942736353007077), (32, 1) = HFloat(-.979732108253810963), (32, 2) = HFloat(.925232759205969923), (33, 1) = HFloat(-.987902672045105401), (33, 2) = HFloat(.913171937940988276), (34, 1) = HFloat(-.993985648764305951), (34, 2) = HFloat(.900253401738528192), (35, 1) = HFloat(-.998161690392944556), (35, 2) = HFloat(.885527019193549148), (36, 1) = HFloat(-.999933202852693825), (36, 2) = HFloat(.869852443315878299), (37, 1) = HFloat(-.997006102055733034), (37, 2) = HFloat(.839084123645368218), (38, 1) = HFloat(-.984786488226064516), (38, 2) = HFloat(.802074455362625338), (39, 1) = HFloat(-.964786753172529044), (39, 2) = HFloat(.764170478498252037), (40, 1) = HFloat(-.935254589504708078), (40, 2) = HFloat(.721513059049358363), (41, 1) = HFloat(-.898112516187038801), (41, 2) = HFloat(.676970729790365766), (42, 1) = HFloat(-.850824619142301453), (42, 2) = HFloat(.627523533269496392), (43, 1) = HFloat(-.797570978035496481), (43, 2) = HFloat(.577371030739956326), (44, 1) = HFloat(-.735786610659668106), (44, 2) = HFloat(.523725493801580844), (45, 1) = HFloat(-.667760211506508328), (45, 2) = HFloat(.468386642662180275), (46, 1) = HFloat(-.599855216887644649), (46, 2) = HFloat(.415852585744740932), (47, 1) = HFloat(-.516368371666899195), (47, 2) = HFloat(.353898893434316020), (48, 1) = HFloat(-.437236627092241481), (48, 2) = HFloat(.297127125152112148), (49, 1) = HFloat(-.348976342827391262), (49, 2) = HFloat(.235421628643554953), (50, 1) = HFloat(-.261475977430020934), (50, 2) = HFloat(.175454466133063841), (51, 1) = HFloat(-.161763476824103719), (51, 2) = HFloat(.108106580473264227), (52, 1) = HFloat(-0.740213527132065063e-1), (52, 2) = HFloat(0.493726628305415013e-1), (53, 1) = HFloat(0.262293744673981893e-1), (53, 2) = HFloat(-0.174873638795113792e-1), (54, 1) = HFloat(.117393216169258907), (54, 2) = HFloat(-0.783626027905274108e-1), (55, 1) = HFloat(.215961974470104234), (55, 2) = HFloat(-.144609155232220787), (56, 1) = HFloat(.299311261051054600), (56, 2) = HFloat(-.201263025576119164), (57, 1) = HFloat(.391489098405798708), (57, 2) = HFloat(-.264963626440157696), (58, 1) = HFloat(.476950203554007413), (58, 2) = HFloat(-.325418569365158894), (59, 1) = HFloat(.558064738412816452), (59, 2) = HFloat(-.384532353352742717), (60, 1) = HFloat(.633890362602178681), (60, 2) = HFloat(-.441899748072451137), (61, 1) = HFloat(.701413171156469617), (61, 2) = HFloat(-.495362579944167714), (62, 1) = HFloat(.767890284790246458), (62, 2) = HFloat(-.551110184112867052), (63, 1) = HFloat(.824375231430874322), (63, 2) = HFloat(-.602049173252518388), (64, 1) = HFloat(.876026995964009569), (64, 2) = HFloat(-.653127725230104206), (65, 1) = HFloat(.915478127479820492), (65, 2) = HFloat(-.696945843641809448), (66, 1) = HFloat(.950612588090555821), (66, 2) = HFloat(-.742505055908345368), (67, 1) = HFloat(.975626490690282622), (67, 2) = HFloat(-.783143762911385988), (68, 1) = HFloat(.991931968635061834), (68, 2) = HFloat(-.820597266232610645), (69, 1) = HFloat(.999585319789284887), (69, 2) = HFloat(-.856266505733220828), (70, 1) = HFloat(.998094016522872329), (70, 2) = HFloat(-.885869493765740090), (71, 1) = HFloat(.994160830774133308), (71, 2) = HFloat(-.899785162623916501), (72, 1) = HFloat(.988090583676968670), (72, 2) = HFloat(-.912841105840068390), (73, 1) = HFloat(.978921728563026061), (73, 2) = HFloat(-.926242794912090828), (74, 1) = HFloat(.967187663656392194), (74, 2) = HFloat(-.938565611925027743), (75, 1) = HFloat(.939514541203616105), (75, 2) = HFloat(-.958088936782832024), (76, 1) = HFloat(.902870173151799960), (76, 2) = HFloat(-.974270660654016685), (77, 1) = HFloat(.857288501687358595), (77, 2) = HFloat(-.986736072040474421), (78, 1) = HFloat(.808354130363334034), (78, 2) = HFloat(-.994600140549084077), (79, 1) = HFloat(.749214705766426348), (79, 2) = HFloat(-.999160233538684439), (80, 1) = HFloat(.683917914786050796), (80, 2) = HFloat(-.999768472352535742), (81, 1) = HFloat(.607436507481678656), (81, 2) = HFloat(-.996097108568060996), (82, 1) = HFloat(.534848109093290169), (82, 2) = HFloat(-.989159193130524250), (83, 1) = HFloat(.445932284292002323), (83, 2) = HFloat(-.976879206933512156), (84, 1) = HFloat(.361677898743807680), (84, 2) = HFloat(-.961910954801300955), (85, 1) = HFloat(.275289484206780899), (85, 2) = HFloat(-.943528610575696702), (86, 1) = HFloat(.179862932911773604), (86, 2) = HFloat(-.919875247348552305), (87, 1) = HFloat(0.823135670878773901e-1), (87, 2) = HFloat(-.892173946003792184), (88, 1) = HFloat(-0.715923643143954493e-2), (88, 2) = HFloat(-.863629116200008040), (89, 1) = HFloat(-.102096312896319180), (89, 2) = HFloat(-.829948042850447654), (90, 1) = HFloat(-.193862362832848245), (90, 2) = HFloat(-.793861120317075342), (91, 1) = HFloat(-.291427682463165472), (91, 2) = HFloat(-.751314442328326781), (92, 1) = HFloat(-.373504758209699750), (92, 2) = HFloat(-.711765148609128318), (93, 1) = HFloat(-.464245107585174510), (93, 2) = HFloat(-.663391994916401329), (94, 1) = HFloat(-.545332107735446603), (94, 2) = HFloat(-.615227126771057287), (95, 1) = HFloat(-.620892281187063522), (95, 2) = HFloat(-.565146302134166501), (96, 1) = HFloat(-.691128770153389027), (96, 2) = HFloat(-.512846920317007848), (97, 1) = HFloat(-.756586153184119259), (97, 2) = HFloat(-.457468810033391238), (98, 1) = HFloat(-.818504578353094425), (98, 2) = HFloat(-.396770099996740677), (99, 1) = HFloat(-.867999692433419900), (99, 2) = HFloat(-.339536796759702386), (100, 1) = HFloat(-.909602992964738011), (100, 2) = HFloat(-.281777211418164752), (101, 1) = HFloat(-.945713944592248001), (101, 2) = HFloat(-.218887944828852737), (102, 1) = HFloat(-.972800641317989490), (102, 2) = HFloat(-.155214744000589155), (103, 1) = HFloat(-.989290339391220019), (103, 2) = HFloat(-0.975010830516318955e-1), (104, 1) = HFloat(-.999071706820651273), (104, 2) = HFloat(-0.287236868334883391e-1), (105, 1) = HFloat(-.999057373303013807), (105, 2) = HFloat(0.289445676979894866e-1), (106, 1) = HFloat(-.989562010713673668), (106, 2) = HFloat(0.962581899740645730e-1), (107, 1) = HFloat(-.971055471764343259), (107, 2) = HFloat(.160098461874967096), (108, 1) = HFloat(-.946876818902685380), (108, 2) = HFloat(.216547531764909762), (109, 1) = HFloat(-.911290461770500437), (109, 2) = HFloat(.279166555016422957), (110, 1) = HFloat(-.866820740398964507), (110, 2) = HFloat(.341022077787115963), (111, 1) = HFloat(-.814366945698000944), (111, 2) = HFloat(.401150529926342814), (112, 1) = HFloat(-.758862301943241335), (112, 2) = HFloat(.455399853250309461), (113, 1) = HFloat(-.694912962690416136), (113, 2) = HFloat(.509839588760538698), (114, 1) = HFloat(-.622429912169550459), (114, 2) = HFloat(.564066152125074827), (115, 1) = HFloat(-.544419988611536954), (115, 2) = HFloat(.615798664311906552), (116, 1) = HFloat(-.458937986297073330), (116, 2) = HFloat(.666371127580410727), (117, 1) = HFloat(-.379901758909653553), (117, 2) = HFloat(.708523809513541214), (118, 1) = HFloat(-.287509500615067526), (118, 2) = HFloat(.753112602378217311), (119, 1) = HFloat(-.191959418220285449), (119, 2) = HFloat(.794646677475388197), (120, 1) = HFloat(-0.981088171354586591e-1), (120, 2) = HFloat(.831435491015080852), (121, 1) = HFloat(-0.120961004499473106e-1), (121, 2) = HFloat(.861965155992681642), (122, 1) = HFloat(0.902457096602296283e-1), (122, 2) = HFloat(.894558903914745351), (123, 1) = HFloat(.176244582389329302), (123, 2) = HFloat(.918911015468448444), (124, 1) = HFloat(.274568180373232940), (124, 2) = HFloat(.943362799860770540), (125, 1) = HFloat(.359299052333536428), (125, 2) = HFloat(.961444789047370185), (126, 1) = HFloat(.448937935648393349), (126, 2) = HFloat(.977355768217095355), (127, 1) = HFloat(.530298376559004248), (127, 2) = HFloat(.988626590324497179), (128, 1) = HFloat(.610253528329505301), (128, 2) = HFloat(.996303271681065028), (129, 1) = HFloat(.678596392773996193), (129, 2) = HFloat(.999652451922633301), (130, 1) = HFloat(.746212838049202798), (130, 2) = HFloat(.999279183113629066), (131, 1) = HFloat(.809086638780554424), (131, 2) = HFloat(.994513634808954938), (132, 1) = HFloat(.857225232338885368), (132, 2) = HFloat(.986749366985044563), (133, 1) = HFloat(.901879357489389188), (133, 2) = HFloat(.974614971110934758), (134, 1) = HFloat(.939601235770873733), (134, 2) = HFloat(.958040566059456977), (135, 1) = HFloat(.967894375197106083), (135, 2) = HFloat(.937920591653075397), (136, 1) = HFloat(.978445394198942275), (136, 2) = HFloat(.926824514348714934), (137, 1) = HFloat(.986919187167190626), (137, 2) = HFloat(.914853846350839106), (138, 1) = HFloat(.993872549167743147), (138, 2) = HFloat(.900551555303991780), (139, 1) = HFloat(.998224771172738001), (139, 2) = HFloat(.885201625085295207), (140, 1) = HFloat(.999907229218049975), (140, 2) = HFloat(.870530123433630010), (141, 1) = HFloat(.999476732754708164), (141, 2) = HFloat(.855040959018391833), (142, 1) = HFloat(.991493866143389857), (142, 2) = HFloat(.819295786251743263), (143, 1) = HFloat(.976010307005786060), (143, 2) = HFloat(.783871171306493308), (144, 1) = HFloat(.950256661933032709), (144, 2) = HFloat(.741993645657856304), (145, 1) = HFloat(.917818190727948457), (145, 2) = HFloat(.699739586695532489), (146, 1) = HFloat(.875705748307880838), (146, 2) = HFloat(.652791582113811497), (147, 1) = HFloat(.826789697628834475), (147, 2) = HFloat(.604324382047172204), (148, 1) = HFloat(.767845059519881801), (148, 2) = HFloat(.551070911013765485), (149, 1) = HFloat(.704114699808206401), (149, 2) = HFloat(.497560137692068472), (150, 1) = HFloat(.632475830420674567), (150, 2) = HFloat(.440806462822373124), (151, 1) = HFloat(.555624328424223934), (151, 2) = HFloat(.382723504604894627), (152, 1) = HFloat(.480511671748108882), (152, 2) = HFloat(.327974528230208562), (153, 1) = HFloat(.389899709807566441), (153, 2) = HFloat(.263853512652095279), (154, 1) = HFloat(.305479198730463530), (154, 2) = HFloat(.205486799561757499), (155, 1) = HFloat(.212757754732972842), (155, 2) = HFloat(.142444814262494696), (156, 1) = HFloat(.122163067946142886), (156, 2) = HFloat(0.815553095377624937e-1), (157, 1) = HFloat(0.203939098100098110e-1), (157, 2) = HFloat(0.135964635506402240e-1), (158, 1) = HFloat(-0.679405883589561527e-1), (158, 2) = HFloat(-0.453131224544987693e-1), (159, 1) = HFloat(-.167520870928223709), (159, 2) = HFloat(-.111974318859801747), (160, 1) = HFloat(-.256835678931248201), (160, 2) = HFloat(-.172300293829411311), (161, 1) = HFloat(-.352048697882217765), (161, 2) = HFloat(-.237546579692993948), (162, 1) = HFloat(-.431407930252718452), (162, 2) = HFloat(-.293005264509637653), (163, 1) = HFloat(-.517846220784493050), (163, 2) = HFloat(-.354975245017543406), (164, 1) = HFloat(-.596604630548027814), (164, 2) = HFloat(-.413391645989387824), (165, 1) = HFloat(-.669944358066613010), (165, 2) = HFloat(-.470116313883948200), (166, 1) = HFloat(-.737023027338493231), (166, 2) = HFloat(-.524763019572474398), (167, 1) = HFloat(-.795274565623967478), (167, 2) = HFloat(-.575302194904628972), (168, 1) = HFloat(-.850861712390843072), (168, 2) = HFloat(-.627560177199392166), (169, 1) = HFloat(-.896222605548881779), (169, 2) = HFloat(-.674868457399333321), (170, 1) = HFloat(-.935490032503407898), (170, 2) = HFloat(-.721820286664437982), (171, 1) = HFloat(-.963230229146209815), (171, 2) = HFloat(-.761647060563439449), (172, 1) = HFloat(-.984984762427186689), (172, 2) = HFloat(-.802529998039201664), (173, 1) = HFloat(-.996868790332053556), (173, 2) = HFloat(-.838446724351124772), (174, 1) = HFloat(-.999887970842842200), (174, 2) = HFloat(-.870971772918978981), (175, 1) = HFloat(-.997944658660394945), (175, 2) = HFloat(-.886602839079551064), (176, 1) = HFloat(-.993590400180439204), (176, 2) = HFloat(-.901281819053078692), (177, 1) = HFloat(-.987456034194965637), (177, 2) = HFloat(-.913945815351264401), (178, 1) = HFloat(-.979297876550140778), (178, 2) = HFloat(-.925777229337745866), (179, 1) = HFloat(-.956344743548646292), (179, 2) = HFloat(-.947367448869784856), (180, 1) = HFloat(-.921465139823633539), (180, 2) = HFloat(-.966997859176745633), (181, 1) = HFloat(-.881546519240037130), (181, 2) = HFloat(-.980888459750203889), (182, 1) = HFloat(-.832894562745947198), (182, 2) = HFloat(-.991219790139763246), (183, 1) = HFloat(-.775746722506624686), (183, 2) = HFloat(-.997666214135419449), (184, 1) = HFloat(-.716846506997171340), (184, 2) = HFloat(-.999957245606440503), (185, 1) = HFloat(-.647876575260122656), (185, 2) = HFloat(-.998556546300095382), (186, 1) = HFloat(-.573717438221209797), (186, 2) = HFloat(-.993251674169345455), (187, 1) = HFloat(-.488829425272471141), (187, 2) = HFloat(-.983283885524348533), (188, 1) = HFloat(-.409810122357457784), (188, 2) = HFloat(-.970836294914462661), (189, 1) = HFloat(-.314693271869310065), (189, 2) = HFloat(-.952279727923407204), (190, 1) = HFloat(-.226015047027563559), (190, 2) = HFloat(-.931744362076591504), (191, 1) = HFloat(-.136382360249396956), (191, 2) = HFloat(-.907965594101156181), (192, 1) = HFloat(-0.387553207809959721e-1), (192, 2) = HFloat(-.878656457849667616), (193, 1) = HFloat(0.596398641464917154e-1), (193, 2) = HFloat(-.845453640685242203), (194, 1) = HFloat(.148687986694261615), (194, 2) = HFloat(-.812077408376920884), (195, 1) = HFloat(.241932088878842516), (195, 2) = HFloat(-.773467153639162852), (196, 1) = HFloat(.330826976067736533), (196, 2) = HFloat(-.732788568211495961), (197, 1) = HFloat(.423948929915850481), (197, 2) = HFloat(-.685529097059929815), (198, 1) = HFloat(.501097422188309660), (198, 2) = HFloat(-.642139991866428783), (199, 1) = HFloat(.584987135988432216), (199, 2) = HFloat(-.589646768721602377), (200, 1) = HFloat(.658532716923785788), (200, 2) = HFloat(-.537907253647431860), (201, 1) = HFloat(.725638944707979405), (201, 2) = HFloat(-.484585448285424714), (202, 1) = HFloat(.786506547213669638), (202, 2) = HFloat(-.429353091420042354), (203, 1) = HFloat(.841556618713768190), (203, 2) = HFloat(-.371315313141940495), (204, 1) = HFloat(.891608559235583020), (204, 2) = HFloat(-.308174981261063963), (205, 1) = HFloat(.929568939609444200), (205, 2) = HFloat(-.249053664812155823), (206, 1) = HFloat(.959270841354030623), (206, 2) = HFloat(-.189766662182448170), (207, 1) = HFloat(.982205776992280066), (207, 2) = HFloat(-.125620483500565344), (208, 1) = HFloat(.995799859113089436), (208, 2) = HFloat(-0.610853875403885929e-1), (209, 1) = HFloat(1.), (209, 2) = HFloat(0.164082742812264922e-8)}, datatype = float[8], storage = rectangular, order = Fortran_order, shape = []), COLOUR(RGB, .47058824, 0., 0.54901961e-1, _ATTRIBUTE("source" = "mathdefault"))), AXESLABELS("", ""), VIEW(DEFAULT, DEFAULT))

## Multiply by a scalar with explicit decim...

Try this and see what you get.  I tried and haven't been able to get a different value which is good.

evalf(add(sin(k*1.), k = 1 .. 10000))

evalf(add(sin(1.*k), k = 1 .. 10000), 25);
1.633891021792462265108364

This seems to fix the randomness of the answer.

## Preview...

I think Preview is the command from tha audiotools package you need.  The y axes represents the amplitude.

## file error...

First try a different .wav file.  If that works then there is a problem with your 440.wav file you are trying to Read.

It's probable that your 440.wav wasn't written correctly or it's corrupt.

You could load your 440.wav with one of a multitude of free audio editing softwares (ie. Audacity) and resave.

## apparent fuzzy 2d plot lines...

The reason the lines are fuzzy is because you have multiple lines overlaying one another in the 2d.

change your range to 0..15 and you will see what I mean.

## Windows...

It's a windows setting.  Windows -> control panel -> display and change the icon sizes.

## ImageTools...

For example

```with(ImageTools):
plot(x^2,axis=[gridlines=[10,color=black]],background=a) #x^2 is plotted over yourimage.jpg with gridlines```

## substitute...

So you're saying given 3 equations with 3 unknowns and only have 2 of the solutions can we get the third?

Certainly, substitute the 2 solutions into any one of the equations to find the removed solution.

In terms of Maple, an example

```a := 7*x+5*y-3*z = 16;
b := 3*x-5*y+2*z = -8;
c := 5*x+3*y-7*z = 0;
d:=solve({a,b,c})
{x = 1, y = 3, z = 2}

So if the z solution was pulled away finding it just involves substituting into any one of the others, we'll use equation c here

solve(subs({d[1],d[2]},c),{z})
{z = 2}
```

## elif or else...

I think the problem is the use of double if statements, try using elif or else.  Look here on the if help http://www.maplesoft.com/support/help/Maple/view.aspx?path=if

 1 2 3 4 5 6 7 Last Page 1 of 39
﻿