{"id":1274,"date":"2021-03-23T15:13:05","date_gmt":"2021-03-23T09:28:05","guid":{"rendered":"https:\/\/bcisnotes.com\/secondsemester\/?p=1274"},"modified":"2021-03-23T15:13:05","modified_gmt":"2021-03-23T09:28:05","slug":"mathematics-pokhara-university-fall-2016","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/secondsemester\/uncategorized\/mathematics-pokhara-university-fall-2016\/","title":{"rendered":"Pokhara University|| Fall 2016|| Mathematics||"},"content":{"rendered":"<p>Fall 2016\u00a0 Business Mathematics<\/p>\n<p>This is the question set along with answers of Fall 2016\u00a0 Business Mathematics, which was taken by Pokhara University.<\/p>\n<p><strong>POKHARA UNIVERSITY<\/strong><\/p>\n<p>Fall 2016\u00a0 Business Mathematics<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"265\"><strong>Level:\u00a0 Bachelor <\/strong><\/td>\n<td width=\"265\"><strong>Semester \u2013 Fall<\/strong><\/td>\n<td width=\"265\"><strong>Year: 2016<\/strong><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\" width=\"531\"><strong>Program: BCIS<\/strong><\/td>\n<td width=\"265\"><strong>Full Marks: 100<\/strong><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\" width=\"531\"><strong>Course: Mathematics II<\/strong><\/td>\n<td width=\"265\"><strong>Pass Marks: 45<\/strong><\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"796\"><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Time:3hrs<\/strong><\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"796\"><em>Candidates are required to give their answers in their own words as far as practicable.<\/em><\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"796\"><em>The figures in the margin indicate full marks.<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong>Section &#8220;A&#8221;<\/strong><\/p>\n<p><strong>Very Short Answer Questions<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"42\"><\/td>\n<td width=\"691\"><strong>Attempt all the questions.<\/strong><\/td>\n<td width=\"65\"><strong>10\u00d72<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"42\">1<\/td>\n<td width=\"691\">Evaluate <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1275\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/1231.png\" alt=\"\" width=\"93\" height=\"51\" \/><\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">2<\/td>\n<td width=\"691\">Show that <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1276\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/526.png\" alt=\"\" width=\"257\" height=\"42\" \/><\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">3<\/td>\n<td width=\"691\">Test whether the series <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1277\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/63.png\" alt=\"\" width=\"184\" height=\"52\" \/>is convergent.<\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">4<\/td>\n<td width=\"691\">Prove that u = x<sup>2<\/sup> \u2013 y<sup>2<\/sup> is harmonic<\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">5<\/td>\n<td width=\"691\">Solve the differential equation:<\/p>\n<p>y dx &#8211; x dy =\u00a0 x<sup>2<\/sup>y dx<\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">6<\/td>\n<td width=\"691\">Express in the polar form \u221a 3 + i<\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">7<\/td>\n<td width=\"691\">Integrate\u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1278\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/223.png\" alt=\"\" width=\"126\" height=\"48\" \/><\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">8<\/td>\n<td width=\"691\">Define a periodic function with an example.<\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">9<\/td>\n<td width=\"691\">Find the period of the function\u00a0 f(x)=cosnx<\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">10<\/td>\n<td width=\"691\"><sub>Solve <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1279\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/899-300x43.png\" alt=\"\" width=\"300\" height=\"43\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/899-300x43.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/899.png 367w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/> <\/sub><\/td>\n<td width=\"65\">2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong>Section &#8220;B&#8221;<\/strong><\/p>\n<p><strong>Descriptive Answer Questions<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"54\"><\/td>\n<td width=\"679\"><strong>Attempt any <em>six<\/em> questions<\/strong><\/td>\n<td width=\"65\">6\u00d710<\/td>\n<\/tr>\n<tr>\n<td width=\"54\">11<\/td>\n<td width=\"679\">Integrate any two of the following.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1280\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/852-300x34.png\" alt=\"\" width=\"300\" height=\"34\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/852-300x34.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/852.png 510w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">12<\/td>\n<td width=\"679\">a)\u00a0 Find the volume of solid generated by revolving about the x \u2013 axis, the areas bounded by the curve y=5x \u2013 x<sup>2<\/sup> and the lines; x = 0, x = 5.<\/p>\n<p>Find the arc length of the curve,\u00a0 y=2\/3 (x+1)<sup>2\/3<\/sup>,0\u2264x\u00a0 \u22642<\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">13<\/td>\n<td width=\"679\">Solve the following differential equations:<\/p>\n<p>a)\u00a0 \u00a0 \u00a0 \u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1281\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/777.png\" alt=\"\" width=\"246\" height=\"70\" \/><\/p>\n<p>b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1282\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/96-300x23.png\" alt=\"\" width=\"300\" height=\"23\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/96-300x23.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/96.png 417w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">14<\/td>\n<td width=\"679\">a)\u00a0\u00a0\u00a0 Solve: <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1283\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/522-300x36.png\" alt=\"\" width=\"300\" height=\"36\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/522-300x36.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/522.png 396w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Prove that the necessary condition for the convergence of an infinite series \u2211un is <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1284\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/1222.png\" alt=\"\" width=\"174\" height=\"38\" \/> but it is not sufficient.<\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">15<\/td>\n<td width=\"679\">a)\u00a0\u00a0\u00a0 Test for the convergence series of the <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1285\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/21.png\" alt=\"\" width=\"275\" height=\"50\" \/><\/p>\n<p>b)\u00a0\u00a0\u00a0 Find\u00a0 Fourier sine and cosine integral of the function<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1286\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/212-300x80.png\" alt=\"\" width=\"300\" height=\"80\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/212-300x80.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/212.png 306w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">16<\/td>\n<td width=\"679\">a)\u00a0\u00a0\u00a0 Find the Fourier series of the function <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1287\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/987-300x42.png\" alt=\"\" width=\"300\" height=\"42\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/987-300x42.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/987.png 309w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Find the Fourier series of the function <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1288\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/963-300x45.png\" alt=\"\" width=\"300\" height=\"45\" srcset=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/963-300x45.png 300w, https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/963.png 374w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>.<\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">17<\/td>\n<td width=\"679\">Find the harmonic conjugate and corresponding analytic function of <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1289\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/8522.png\" alt=\"\" width=\"247\" height=\"43\" \/><\/p>\n<p>What are the necessary conditions for a function of complex variables to be analytic? Show that the function f(z)= <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1291\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/33-1.png\" alt=\"\" width=\"45\" height=\"32\" \/>\u00a0 is analytic.<\/td>\n<td width=\"65\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong>Section &#8220;C&#8221;<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"54\"><\/td>\n<td width=\"675\"><strong>Case Analysis<\/strong><\/td>\n<td width=\"69\"><\/td>\n<\/tr>\n<tr>\n<td width=\"54\">18<\/td>\n<td width=\"675\">a)\u00a0\u00a0\u00a0 Let <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1292\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/9841.png\" alt=\"\" width=\"289\" height=\"39\" \/>be defined and continuous in some neighborhoods of a point\u00a0 Z=x+iy and differentiable at Z itself. Then at that point , the first order Partial derivatives of u and v exist and satisfy the Cauchy Riemann equation <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1293\" src=\"https:\/\/bcisnotes.com\/secondsemester\/wp-content\/uploads\/2021\/03\/566.png\" alt=\"\" width=\"253\" height=\"34\" \/>\u00a0prove.<\/p>\n<p>State and prove P-series test.<\/td>\n<td width=\"69\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>You may also like <a href=\"https:\/\/bcisnotes.com\/secondsemester\/question-bank\/pokhara-university2015-fall-business-mathematics\/\" target=\"_blank\" rel=\"noopener\">Pokhara University||2015 Fall Business Mathematics ||\u00a0<\/a><\/p>\n<p>Do follow us on <a href=\"https:\/\/www.facebook.com\/OnlineNotesNepal\/\" target=\"_blank\" rel=\"noopener\">Online Notes Nepal<\/a><\/p>\n<div class=\"dmouf69f815567ceb9\" ><div id=\"amzn-assoc-ad-668fe681-bdc6-49ee-a9f9-a4c2f5be29a0\"><\/div><script async src=\"\/\/z-na.amazon-adsystem.com\/widgets\/onejs?MarketPlace=US&adInstanceId=668fe681-bdc6-49ee-a9f9-a4c2f5be29a0\"><\/script><\/div><style type=\"text\/css\">\r\n@media screen and (min-width: 1201px) {\r\n.dmouf69f815567ceb9 {\r\ndisplay: block;\r\n}\r\n}\r\n@media screen and (min-width: 993px) and (max-width: 1200px) {\r\n.dmouf69f815567ceb9 {\r\ndisplay: block;\r\n}\r\n}\r\n@media screen and (min-width: 769px) and (max-width: 992px) {\r\n.dmouf69f815567ceb9 {\r\ndisplay: block;\r\n}\r\n}\r\n@media screen and (min-width: 768px) and (max-width: 768px) {\r\n.dmouf69f815567ceb9 {\r\ndisplay: block;\r\n}\r\n}\r\n@media screen and (max-width: 767px) {\r\n.dmouf69f815567ceb9 {\r\ndisplay: block;\r\n}\r\n}\r\n<\/style>\r\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>Fall 2016\u00a0 Business Mathematics This is the question set along with answers of Fall 2016\u00a0 Business Mathematics, which was taken by Pokhara University. POKHARA UNIVERSITY <a class=\"mh-excerpt-more\" href=\"https:\/\/bcisnotes.com\/secondsemester\/uncategorized\/mathematics-pokhara-university-fall-2016\/\" title=\"Pokhara University|| Fall 2016|| Mathematics||\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":15,"featured_media":1296,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17,1],"tags":[40,33,24,25],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>|| Fall 2016 Business Mathematics || Pokhara University ||<\/title>\n<meta name=\"description\" content=\"This is the question set along with answers of Fall 2016 Business Mathematics, which was taken by Pokhara University(PU).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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