# Question:2nd Order Gaussian Curve Smoothing

## Question:2nd Order Gaussian Curve Smoothing

Maple

Please write the code for 2nd Order Gausian Smoothing of the curve with the following data:

X := Vector[row](781, [0, 0.000115771, 0.000231541, 0.000347312, 0.000463082, 0.000578853, 0.000694623, 0.000810394, 0.000926164, 0.001041935, 0.001157705, 0.001273476, 0.001389246, 0.001505017, 0.001620787, 0.001736558, 0.001852328, 0.001968099, 0.002083869, 0.00219964, 0.00231541, 0.002431181, 0.002546952, 0.002662722, 0.002778493, 0.002894263, 0.003010034, 0.003125804, 0.003241575, 0.003357345, 0.003473116, 0.003588886, 0.003704657, 0.003820427, 0.003936198, 0.004051968, 0.004167739, 0.004283509, 0.00439928, 0.00451505, 0.004630821, 0.004746591, 0.004862362, 0.004978132, 0.005093903, 0.005209674, 0.005325444, 0.005441215, 0.005556985, 0.005672756, 0.005788526, 0.005904297, 0.006020067, 0.006135838, 0.006251608, 0.006367379, 0.006483149, 0.013008131, 0.013123901, 0.013239672, 0.013355442, 0.013471213, 0.013586983, 0.013702754, 0.013818524, 0.013934295, 0.014050065, 0.014165836, 0.014281606, 0.014397377, 0.014513148, 0.014628918, 0.014744689, 0.014860459, 0.01497623, 0.015092, 0.015207771, 0.015323541, 0.015439312, 0.015555082, 0.015670853, 0.015786623, 0.015902394, 0.016018164, 0.016133935, 0.016249705, 0.016365476, 0.016481246, 0.016597017, 0.016712787, 0.016828558, 0.023353539, 0.02346931, 0.02358508, 0.023700851, 0.023816621, 0.023932392, 0.024048163, 0.024163933, 0.024279704, 0.024395474, 0.024511245, 0.024627015, 0.024742786, 0.024858556, 0.024974327, 0.025090097, 0.031615079, 0.031730849, 0.03184662, 0.03196239, 0.032078161, 0.032193931, 0.032309702, 0.032425472, 0.032541243, 0.032657013, 0.032772784, 0.032888554, 0.033004325, 0.033120095, 0.039645077, 0.039760847, 0.039876618, 0.039992388, 0.040108159, 0.040223929, 0.0403397, 0.040455471, 0.040571241, 0.047096222, 0.047211993, 0.047327764, 0.047443534, 0.047559305, 0.047675075, 0.047790846, 0.047906616, 0.054431598, 0.054547368, 0.054663139, 0.054778909, 0.05489468, 0.05501045, 0.055126221, 0.055241991, 0.055357762, 0.061882743, 0.061998514, 0.062114284, 0.062230055, 0.062345825, 0.062461596, 0.062577366, 0.062693137, 0.069218118, 0.069333889, 0.069449659, 0.06956543, 0.0696812, 0.069796971, 0.076321952, 0.076437723, 0.076553493, 0.076669264, 0.076785034, 0.076900805, 0.077016575, 0.077132346, 0.077248116, 0.083773098, 0.083888868, 0.084004639, 0.084120409, 0.08423618, 0.08435195, 0.090876932, 0.090992702, 0.091108473, 0.091224243, 0.091340014, 0.097864995, 0.097980766, 0.098096536, 0.098212307, 0.098328077, 0.098443848, 0.098559619, 0.1050846, 0.10520037, 0.105316141, 0.105431912, 0.105547682, 0.105663453, 0.105779223, 0.112304205, 0.112419975, 0.112535746, 0.112651516, 0.112767287, 0.112883057, 0.119408039, 0.119523809, 0.11963958, 0.11975535, 0.119871121, 0.119986891, 0.120102662, 0.126627643, 0.126743414, 0.126859184, 0.126974955, 0.127090725, 0.127206496, 0.133731477, 0.133847248, 0.133963018, 0.134078789, 0.134194559, 0.13431033, 0.1344261, 0.140951082, 0.141066852, 0.141182623, 0.141298393, 0.141414164, 0.141529934, 0.148054916, 0.148170686, 0.148286457, 0.148402227, 0.148517998, 0.148633768, 0.148749539, 0.15527452, 0.155390291, 0.155506061, 0.155621832, 0.155737602, 0.155853373, 0.162378354, 0.162494125, 0.162609895, 0.162725666, 0.162841436, 0.162957207, 0.163072977, 0.169597959, 0.169713729, 0.1698295, 0.16994527, 0.170061041, 0.170176811, 0.176701793, 0.176817563, 0.176933334, 0.177049104, 0.177164875, 0.177280646, 0.183805627, 0.183921397, 0.184037168, 0.184152938, 0.184268709, 0.18438448, 0.18450025, 0.191025231, 0.191141002, 0.191256773, 0.191372543, 0.191488314, 0.191604084, 0.198129066, 0.198244836, 0.198360607, 0.198476377, 0.198592148, 0.198707918, 0.2052329, 0.20534867, 0.205464441, 0.205580211, 0.205695982, 0.205811752, 0.212336734, 0.212452504, 0.212568275, 0.212684045, 0.212799816, 0.212915586, 0.219440568, 0.219556338, 0.219672109, 0.219787879, 0.21990365, 0.22001942, 0.220135191, 0.226660172, 0.226775943, 0.226891713, 0.227007484, 0.227123254, 0.227239025, 0.233764006, 0.233879777, 0.233995547, 0.234111318, 0.234227088, 0.234342859, 0.24086784, 0.240983611, 0.241099381, 0.241215152, 0.241330922, 0.247855904, 0.247971674, 0.248087445, 0.248203215, 0.248318986, 0.248434756, 0.254959738, 0.255075508, 0.255191279, 0.255307049, 0.25542282, 0.25553859, 0.262063572, 0.262179342, 0.262295113, 0.262410883, 0.262526654, 0.269051635, 0.269167406, 0.269283176, 0.269398947, 0.269514717, 0.276039699, 0.276155469, 0.27627124, 0.27638701, 0.276502781, 0.283027762, 0.283143533, 0.283259303, 0.283375074, 0.283490844, 0.290015826, 0.290131596, 0.290247367, 0.290363137, 0.290478908, 0.290594678, 0.29711966, 0.29723543, 0.297351201, 0.297466971, 0.297582742, 0.304107723, 0.304223494, 0.304339264, 0.304455035, 0.304570805, 0.304686576, 0.311211557, 0.311327328, 0.311443098, 0.311558869, 0.31167464, 0.31179041, 0.318315391, 0.318431162, 0.318546933, 0.318662703, 0.318778474, 0.318894244, 0.325419225, 0.325534996, 0.325650767, 0.325766537, 0.325882308, 0.325998078, 0.33252306, 0.33263883, 0.332754601, 0.332870371, 0.332986142, 0.339511123, 0.339626894, 0.339742664, 0.339858435, 0.339974205, 0.340089976, 0.346614957, 0.346730728, 0.346846498, 0.346962269, 0.347078039, 0.34719381, 0.353718791, 0.353834562, 0.353950332, 0.354066103, 0.354181873, 0.354297644, 0.360822625, 0.360938396, 0.361054166, 0.361169937, 0.361285707, 0.367810689, 0.367926459, 0.36804223, 0.368158, 0.368273771, 0.368389541, 0.374914523, 0.375030293, 0.375146064, 0.375261834, 0.375377605, 0.381902586, 0.382018357, 0.382134127, 0.382249898, 0.382365668, 0.38889065, 0.38900642, 0.389122191, 0.389237961, 0.389353732, 0.389469502, 0.395994484, 0.396110254, 0.396226025, 0.396341795, 0.402866777, 0.402982547, 0.403098318, 0.403214088, 0.403329859, 0.40985484, 0.409970611, 0.410086381, 0.410202152, 0.410317922, 0.416842904, 0.416958674, 0.417074445, 0.417190215, 0.423715197, 0.423830967, 0.423946738, 0.424062508, 0.43058749, 0.43070326, 0.430819031, 0.430934801, 0.431050572, 0.437575553, 0.437691324, 0.437807094, 0.437922865, 0.444447846, 0.444563617, 0.444679387, 0.444795158, 0.451320139, 0.45143591, 0.45155168, 0.451667451, 0.458192432, 0.458308203, 0.458423973, 0.458539744, 0.465064725, 0.465180496, 0.465296266, 0.465412037, 0.471937018, 0.472052789, 0.472168559, 0.47228433, 0.478809311, 0.478925082, 0.479040852, 0.479156623, 0.485681604, 0.485797375, 0.485913145, 0.486028916, 0.492553897, 0.492669668, 0.492785438, 0.492901209, 0.49942619, 0.499541961, 0.499657731, 0.506182713, 0.506298483, 0.506414254, 0.506530024, 0.513055006, 0.513170776, 0.513286547, 0.513402317, 0.519927299, 0.520043069, 0.52015884, 0.526683821, 0.526799592, 0.526915362, 0.533440343, 0.533556114, 0.533671885, 0.533787655, 0.540312636, 0.540428407, 0.540544178, 0.547069159, 0.547184929, 0.5473007, 0.553825681, 0.553941452, 0.554057222, 0.560582204, 0.560697974, 0.560813745, 0.567338726, 0.567454497, 0.567570267, 0.574095249, 0.574211019, 0.57432679, 0.580851771, 0.580967542, 0.581083312, 0.587608294, 0.587724064, 0.587839835, 0.594364816, 0.594480587, 0.594596357, 0.601121339, 0.601237109, 0.60135288, 0.607877861, 0.607993632, 0.608109402, 0.614634384, 0.614750154, 0.614865925, 0.621390906, 0.621506677, 0.628031658, 0.628147428, 0.628263199, 0.63478818, 0.634903951, 0.635019721, 0.641544703, 0.641660473, 0.648185455, 0.648301225, 0.648416996, 0.654941977, 0.655057748, 0.655173518, 0.6616985, 0.66181427, 0.668339252, 0.668455022, 0.668570793, 0.675095774, 0.675211545, 0.681736526, 0.681852297, 0.681968067, 0.688493049, 0.688608819, 0.695133801, 0.695249571, 0.695365342, 0.701890323, 0.702006094, 0.708531075, 0.708646845, 0.715171827, 0.715287597, 0.715403368, 0.721928349, 0.72204412, 0.728569101, 0.728684872, 0.735209853, 0.735325624, 0.741966376, 0.748607128, 0.75524788, 0.761888631, 0.768529383, 0.775170135, 0.781695117, 0.788335869, 0.794976621, 0.801501602, 0.808142354, 0.814783106, 0.821423858, 0.827948839, 0.834589591, 0.841230343, 0.847871095, 0.854511847, 0.861152599, 0.867793351, 0.874318332, 0.880959084, 0.887599836, 0.894240588, 0.90076557, 0.907406322, 0.913931303, 0.920572055, 0.927097036, 0.933622018, 0.94026277, 0.946787751, 0.953312733, 0.959953484, 0.966478466, 0.973119218, 0.97975997, 0.986284951, 0.992925703, 0.999450685, 1.006091437, 1.012732188, 1.019488711, 1.026129463, 1.032885985, 1.039526737, 1.046051719, 1.0525767, 1.059101682, 1.065626663, 1.072151644, 1.078676626, 1.091610818, 1.085201607, 1.0981358, 1.111069992, 1.104660781, 1.117594973, 1.124119955, 1.137054147, 1.130644936, 1.143579128, 1.15010411, 1.163038302, 1.156629091, 1.169563284, 1.176088265, 1.182613246, 1.195547439, 1.189138228, 1.20207242, 1.208597402, 1.221531594, 1.215122383, 1.228056575, 1.240990768, 1.234581557, 1.25392496, 1.247515749, 1.266859152, 1.260449941, 1.279793345, 1.273384134, 1.292727537, 1.286318326, 1.31207094, 1.305661729, 1.299252518, 1.331414343, 1.325005132, 1.318595921, 1.350757746, 1.344348536, 1.337939325, 1.37010115, 1.363691939, 1.357282728, 1.389444553, 1.383035342, 1.376626131, 1.415197167, 1.408787956, 1.402378745, 1.395969534, 1.43454057, 1.428131359, 1.421722148, 1.453883973, 1.447474762, 1.441065552, 1.466818166, 1.460408955, 1.486161569, 1.479752358, 1.473343147, 1.499095761, 1.49268655, 1.518439164, 1.512029954, 1.505620743, 1.537782568, 1.531373357, 1.524964146, 1.563535182, 1.557125971, 1.55071676, 1.544307549, 1.595697007, 1.948319377, 1.589287796, 1.941910166, 1.582878585, 1.935500955, 1.576469374, 1.929091744, 1.570060163, 1.922682533, 1.916273322, 1.909864111, 1.9034549, 1.897045689, 1.890636478, 1.884227268, 1.659904886, 1.653495675, 1.647086464, 1.640677254, 1.634268043, 1.627858832, 1.621449621, 1.61504041, 1.608631199, 1.602221988, 1.877933827, 1.871524616, 1.865115405, 1.858706194, 1.852296984, 1.845887773, 1.839478562, 1.833069351, 1.82666014, 1.820250929, 1.813841718, 1.807432507, 1.801023296, 1.794614086, 1.788204875, 1.781795664, 1.775386453, 1.768977242, 1.762568031, 1.75615882, 1.749749609, 1.743340398, 1.736931187, 1.730521977, 1.724112766, 1.717703555, 1.711294344, 1.704885133, 1.698475922, 1.692066711, 1.6856575, 1.679248289, 1.672839079, 1.666429868])

Y := Vector[row](782, [0, 0.006409211, 0.012818422, 0.019227633, 0.025636844, 0.032046054, 0.038455265, 0.044864476, 0.051273687, 0.057682898, 0.064092109, 0.07050132, 0.076910531, 0.083319742, 0.089728953, 0.096138163, 0.102547374, 0.108956585, 0.115365796, 0.121775007, 0.128184218, 0.134593429, 0.14100264, 0.147411851, 0.153821061, 0.160230272, 0.166639483, 0.173048694, 0.179457905, 0.185867116, 0.192276327, 0.198685538, 0.205094749, 0.21150396, 0.21791317, 0.224322381, 0.230731592, 0.237140803, 0.243550014, 0.249959225, 0.256368436, 0.262777647, 0.269186858, 0.275596068, 0.282005279, 0.28841449, 0.294823701, 0.301232912, 0.307642123, 0.314051334, 0.320460545, 0.326869756, 0.333278967, 0.339688177, 0.346097388, 0.352506599, 0.35891581, 0.365209251, 0.371618461, 0.378027672, 0.384436883, 0.390846094, 0.397255305, 0.403664516, 0.410073727, 0.416482938, 0.422892149, 0.429301359, 0.43571057, 0.442119781, 0.448528992, 0.454938203, 0.461347414, 0.467756625, 0.474165836, 0.480575047, 0.486984258, 0.493393468, 0.499802679, 0.50621189, 0.512621101, 0.519030312, 0.525439523, 0.531848734, 0.538257945, 0.544667156, 0.551076366, 0.557485577, 0.563894788, 0.570303999, 0.57671321, 0.58300665, 0.589415861, 0.595825072, 0.602234283, 0.608643494, 0.615052705, 0.621461916, 0.627871127, 0.634280338, 0.640689548, 0.647098759, 0.65350797, 0.659917181, 0.666326392, 0.672735603, 0.679144814, 0.685438254, 0.691847465, 0.698256676, 0.704665887, 0.711075098, 0.717484309, 0.72389352, 0.73030273, 0.736711941, 0.743121152, 0.749530363, 0.755939574, 0.762348785, 0.768757996, 0.775051436, 0.781460647, 0.787869858, 0.794279069, 0.80068828, 0.807097491, 0.813506702, 0.819915912, 0.826325123, 0.832618564, 0.839027775, 0.845436986, 0.851846196, 0.858255407, 0.864664618, 0.871073829, 0.87748304, 0.88377648, 0.890185691, 0.896594902, 0.903004113, 0.909413324, 0.915822535, 0.922231746, 0.928640957, 0.935050168, 0.941343608, 0.947752819, 0.95416203, 0.960571241, 0.966980452, 0.973389662, 0.979798873, 0.986208084, 0.992501525, 0.998910735, 1.005319946, 1.011729157, 1.018138368, 1.024547579, 1.030841019, 1.03725023, 1.043659441, 1.050068652, 1.056477863, 1.062887074, 1.069296285, 1.075705496, 1.082114707, 1.088408147, 1.094817358, 1.101226569, 1.10763578, 1.114044991, 1.120454201, 1.126747642, 1.133156853, 1.139566064, 1.145975274, 1.152384485, 1.158677926, 1.165087137, 1.171496348, 1.177905558, 1.184314769, 1.19072398, 1.197133191, 1.203426632, 1.209835842, 1.216245053, 1.222654264, 1.229063475, 1.235472686, 1.241881897, 1.248175337, 1.254584548, 1.260993759, 1.26740297, 1.273812181, 1.280221392, 1.286514832, 1.292924043, 1.299333254, 1.305742465, 1.312151676, 1.318560887, 1.324970097, 1.331263538, 1.337672749, 1.34408196, 1.350491171, 1.356900381, 1.363309592, 1.369603033, 1.376012244, 1.382421454, 1.388830665, 1.395239876, 1.401649087, 1.408058298, 1.414351738, 1.420760949, 1.42717016, 1.433579371, 1.439988582, 1.446397793, 1.452691233, 1.459100444, 1.465509655, 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