{"id":4553,"date":"2015-03-29T10:41:06","date_gmt":"2015-03-29T08:41:06","guid":{"rendered":"https:\/\/kamerpower.com\/?p=4553"},"modified":"2025-06-19T00:13:09","modified_gmt":"2025-06-18T23:13:09","slug":"concours-eamac-2011-epreuve-de-mathematiques-ing-cca","status":"publish","type":"post","link":"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/","title":{"rendered":"Epreuve de Concours EAMAC 2011 Mathematiques ING &#038; CCA"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #000000;\">CONCOURS D\u2019ENTREE AUX CYCLES D\u2019INGENIEUR ET DE<\/span><br \/>\n<span style=\"color: #000000;\">CONTROLEUR DE LA CIRCULATION AERIENNE DE L\u2019ECOLE<\/span><br \/>\n<span style=\"color: #000000;\">AFRICAINE DE LA METEOROLOGIE ET<\/span><br \/>\n<span style=\"color: #000000;\">DE L\u2019AVIATION CIVILE ( EAMAC \u00a0Epreuve de Concours EAMAC 2011)<\/span><br \/>\n<span style=\"color: #000000;\">SESSION 2011\u00a0<a href=\"https:\/\/kamerpower.com\/concours-eamac-2015-african-school-of-meteorology-and-civil-aviation-may-session-2015\/\">Concours EAMAC<\/a><\/span><br \/>\n<span style=\"color: #000000;\">EPREUVE DE : <span style=\"color: #3366ff;\">MATHEMATIQUES<\/span><\/span><br \/>\n<span style=\"color: #000000;\">DUREE : 4\u00a0HEURES\u00a0<\/span><br \/>\n<span style=\"color: #008000; text-shadow: 2px 0 2px #000;\">KA<\/span><span style=\"color: #ff0000; text-shadow: 2px 0 2px #000;\">M<\/span><span style=\"color: #ffcc00; text-shadow: 2px 0 2px #000;\">ER<\/span><span style=\"color: #800080; text-shadow: 2px 0 2px #000;\">POWER<\/span><span style=\"color: #3366ff; text-shadow: 2px 0 2px #000;\">.COM<\/span><\/p>\n<hr \/>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69de444c4e21b\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"ez-toc-cssicon\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69de444c4e21b\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/#telechargez-les-anciens-epreuves-dexamen-eamac-2006-a-2025-et-les-corrigees-depuis-notre-application-kamerpower-epreuves-sur-play-store\" >T\u00e9l\u00e9chargez les anciens \u00e9preuves d&#8217;examen EAMAC 2006 \u00e0 2025\u00a0et les Corrig\u00e9es depuis notre application Kamerpower Epreuves sur Play Store.<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/#epreuve-de-concours-eamac-2011-mathematiques-ing-cca\" >Epreuve de Concours EAMAC 2011 Mathematiques ING &amp; CCA<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/#exercice-1\" >Exercice 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/#exercice-2\" >Exercice 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/#exercice-3\" >Exercice 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/kamerpower.com\/fr\/concours-eamac-2011-epreuve-de-mathematiques-ing-cca\/#exercice-4\" >Exercice 4<\/a><\/li><\/ul><\/nav><\/div>\n<h4 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"telechargez-les-anciens-epreuves-dexamen-eamac-2006-a-2025-et-les-corrigees-depuis-notre-application-kamerpower-epreuves-sur-play-store\"><\/span><span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">T\u00e9l\u00e9chargez<\/span> les anciens <span style=\"color: #008000;\">\u00e9preuves d&#8217;examen EAMAC 2006 \u00e0 2025<\/span>\u00a0et les <span style=\"color: #008000;\">Corrig\u00e9es<\/span> depuis notre application Kamerpower Epreuves sur Play Store.<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.kamerpower.cm\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"aligncenter wp-image-68899\" src=\"https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr.png\" alt=\"Kamerpower Epreuves\" width=\"393\" height=\"152\" srcset=\"https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr.png 646w, https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr-600x232.png 600w, https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr-300x116.png 300w, https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr-520x201.png 520w, https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr-320x124.png 320w, https:\/\/kamerpower.com\/wp-content\/uploads\/2025\/05\/google-play-badge-fr-150x58.png 150w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/a><\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"epreuve-de-concours-eamac-2011-mathematiques-ing-cca\"><\/span><span style=\"color: #3366ff;\"><strong>Epreuve de Concours EAMAC 2011 Mathematiques ING &amp; CCA<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"exercice-1\"><\/span><span style=\"color: #ff0000;\">Exercice 1<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">Calculer la valeur moyenne de la fonction: \u00a0f(x) = cos<i><sup>2<\/sup><\/i>x \/ (sin<i><sup>2<\/sup><\/i>x + 4cos<i><sup>2<\/sup><\/i>x)<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercice-2\"><\/span><span style=\"color: #ff0000;\">Exercice 2<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">Etudier la convergence de l\u2019int\u00e9grale suivante; et lorsqu\u2019elle converge, calculer sa valeur: <\/span><\/p>\n<p><span style=\"color: #000000;\"> +\u221e \u00a0 0 \u222b \u00a0 ((1 &#8211; e<i><sup>-\u03b2x<\/sup><\/i>)\/x)(cos\u03bbxdx) , \u00a0\u03b2 \u2265 0\u00a0<\/span>,\u00a0\u00a0B<\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercice-3\"><\/span><span style=\"color: #ff0000;\">Exercice 3<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">R\u00e9soudre l\u2019\u00e9quation diff\u00e9rentielle suivante:<\/span><\/p>\n<p>xy&#8217; &#8211; y<span style=\"color: #000000;\"><i><sup>2<\/sup><\/i><\/span> + (2x + 1)y = x<span style=\"color: #000000;\"><i><sup>2<\/sup><\/i><\/span> + 2x,\u00a0 \u00a0<span style=\"color: #000000;\">avec \u00a0<\/span><\/p>\n<p>1=&gt;2 \u222b \u00a0(x-y)<span style=\"color: #000000;\"><i><sup>2<\/sup><\/i><\/span> dx = 1<\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercice-4\"><\/span><span style=\"color: #ff0000;\">Exercice 4<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">On consid\u00e9re la s\u00e9rie enti\u00e8re: f(x) = +\u221e \u00a0n=0 \u00a0\u00a0\u2211 ((-1)<i><sup>n<\/sup><\/i>) . \u00a0x<i><sup>3n<\/sup><\/i>\/3n!)<\/span><\/p>\n<ol>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">D\u00e9terminer son rayon de convergence. Montrer que f v\u00e9rifie une \u00e9quation\u00a0diff\u00e9rentielle lin\u00e9aire du troisieme ordre a coefficients constants.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">R\u00e9soudre l\u2019\u00e9quation diff\u00e9rentielle obtenue.\u00a0<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">En d\u00e9duire 1a somme S de la s\u00e9rie: +\u221e \u00a0n=0 \u00a0\u00a0\u2211 (-1)<i><sup>n<\/sup><\/i>\/3n!)<\/span><\/li>\n<\/ol>\n<p style=\"text-align: center;\"><span style=\"color: #3366ff;\">Epreuve de Concours EAMAC 2011 Mathematiques ING &amp; CCA<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":4530,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[1701],"tags":[1738,1735,1712,1706],"class_list":["post-4553","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-epreuves","tag-annales-epreuves-concours-eamac","tag-concours-eamac-ecole-africaine-de-la-meteorologie-et-de-laviation-civile","tag-epreuve-de-concours-dentree-aux-grandes-ecoles-cameroun","tag-mathematiques"],"_links":{"self":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts\/4553","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/comments?post=4553"}],"version-history":[{"count":3,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts\/4553\/revisions"}],"predecessor-version":[{"id":69935,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts\/4553\/revisions\/69935"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/media\/4530"}],"wp:attachment":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/media?parent=4553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/categories?post=4553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/tags?post=4553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}