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tepkimesidir."]},"beginTime":118,"endTime":379,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=118&ask_summarization=1"},{"index":3,"title":"Redoks Tepkimelerinin Denkleştirilmesi","list":{"type":"unordered","items":["Redoks tepkimesini denkleştirmek için öncelikle yükseltgen ve indirgen atomları bulunur.","Klor sıfırdan eksi bir'e indirgenmiş, elektron alarak; artı beş'e yükseltgenmiş, elektron vererek tepkimeye girer.","Elektron sayılarının eşit olması için indirgenme ve yükseltgenme tepkimeleri taraf tarafa toplanır ve katsayılar en küçük tam sayılarla sadeleştirilir."]},"beginTime":379,"endTime":570,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=379&ask_summarization=1"},{"index":4,"title":"Redoks Tepkimelerinin Denkleştirilmesi","list":{"type":"unordered","items":["Redoks tepkimelerinde hidrojen ve oksijen en sona eşitlenir.","Hidrojen ve oksijen eşitlendikten sonra, H₂O'nun katsayısı 3 olarak bulunur."]},"beginTime":571,"endTime":633,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=571&ask_summarization=1"},{"index":5,"title":"Aktiflik Kavramı","list":{"type":"unordered","items":["Aktiflik, bir elemente ait atomun birleşik oluşturma ya da iyon haline geçme eğilimidir.","Metaller elektron vererek, ametaller elektron alarak aktifliklerini gösterir.","Bir atom tepkime de yükseltiyorsa diğer atoma göre daha aktiftir."]},"beginTime":633,"endTime":676,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=633&ask_summarization=1"},{"index":6,"title":"Aktiflik Sıralaması","list":{"type":"unordered","items":["X, Y iyonuyla tepkimeye kendiliğinden girerek X iyona dönüşür, bu da X'in Y'den daha aktif olduğunu gösterir.","Z, X ile tepkimeye girerek Z iyona dönüşür, bu da Z'nin X'ten daha aktif olduğunu gösterir.","Aktiflik sıralaması Z > X > Y şeklindedir."]},"beginTime":676,"endTime":762,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=676&ask_summarization=1"},{"index":7,"title":"Yükseltgen ve İndirgen Kavramları","list":{"type":"unordered","items":["Yükseltgen, elektron vererek yükseltgenme özelliğine sahip olan atomdur.","İndirgen, elektron alarak indirgenme özelliğine sahip olan atomdur.","En kuvvetli indirgen Z, en kuvvetli yükseltgen Y'dir."]},"beginTime":762,"endTime":1025,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=762&ask_summarization=1"},{"index":8,"title":"Elektrokimyasal Pil","list":{"type":"unordered","items":["Elektrokimyasal pil, redoks tepkimeleri sonucunda elektrik enerjisi üreten sistemlerdir.","Elektrokimyasal pillerde anot eksi elektrot, katot artı elektrottur.","Tuz köprüsü, yük denkliğini sağlamak için elektrokimyasal pillerde olması olmazsa olmaz bir köprüdür."]},"beginTime":1025,"endTime":1083,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1025&ask_summarization=1"},{"index":9,"title":"Elektrokimyasal Pil Sorusu","list":{"type":"unordered","items":["Magnezyum elektrodun kütlesi azalırken, katot elektronun kütlesi artar.","Magnezyum alüminyuma göre daha aktif bir metaldir.","Elektrokimyasal pillerde dış devrede elektronlar anottan kata doğru hareket eder."]},"beginTime":1083,"endTime":1230,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1083&ask_summarization=1"},{"index":10,"title":"Elektrokimyasal Pil Tepkimesi","list":{"type":"unordered","items":["Elektrokimyasal pillerde anotta yükseltgenme, katotta indirgenme gerçekleşir.","Pil tepkimesi yazarken elektron sayıları eşitlenerek taraf tarafa toplanır.","Pil tepkimesinde kat sayısı ile mol sayısı orantılıdır."]},"beginTime":1237,"endTime":1428,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1237&ask_summarization=1"},{"index":11,"title":"Pil Sisteminde Elektrot Belirleme","list":{"type":"unordered","items":["Pil sisteminde anot ve katot yarı hücrelerini belirlemek için standart yükseltgenme potansiyeline bakılır.","Standart indirgenme potansiyeli ne kadar yüksekse o elektrot katottur.","Çözeltide bulunmayan iyonlar katot yarı hücresinde indirgenemez."]},"beginTime":1428,"endTime":1592,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1428&ask_summarization=1"},{"index":12,"title":"Pil Potansiyeli ve Etkileşimler","list":{"type":"unordered","items":["Standart pil gerilimi 25 derece ve 1 atm basınçtaki pil gerilimidir.","Pil gerilimi sıcaklıkla, maddenin cinsi ile ve hidrojen elektrodu kullanılmışsa basınçla değişir.","Lasotelya ilkesine göre, hidrojen iyonlarının derişimi azalırsa sistem girenler yönüne hareket ederek pil potansiyeli artar."]},"beginTime":1592,"endTime":1725,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1592&ask_summarization=1"},{"index":13,"title":"Nernst Bağıntısı ve Pil Potansiyeli","list":{"type":"unordered","items":["Nernst bağıntısında çözeltilerin molaritesi önemli bir faktördür.","Çözeltilerin her ikisinde de molaritesi 1 molar olsaydı pil potansiyeli 0,36 volt olacaktı.","Kadmiyum nitrat çözeltisinin molaritesi 0,1 molar olduğundan pil potansiyeli 0,36 volt olarak hesaplanmıştır."]},"beginTime":1725,"endTime":1819,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1725&ask_summarization=1"},{"index":14,"title":"Elektrokimyasal Pil Potansiyeli Hesaplama","list":{"type":"unordered","items":["İkinci kapta kadmiyum değişimi 0,1 molar olduğunda standardın dışına çıktığı için NES bağlantısı kullanılarak pil potansiyeli hesaplanır.","Pil potansiyeli formülü: E = E_pil - 0,0592 × (2 × log Q) şeklindedir, burada Q = [katot] / [anot] = 1,01'dir.","Hesaplamalar sonucunda pil potansiyeli 0,36V olarak bulunur ve ikinci ve üçüncü öncüller doğrudur."]},"beginTime":1828,"endTime":1966,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1828&ask_summarization=1"},{"index":15,"title":"Elektroliz Problemi","list":{"type":"unordered","items":["X-sülfat sıvısının elektrolizinde katodun kütlesi 965 saniyede 6,40 gram arttığında akım şiddeti hesaplanır.","X²⁺ katyonu katotta indirgenir ve 0,10 mol X oluşması için 0,20 mol elektron geçer.","Akım şiddeti 20 amper olarak bulunur."]},"beginTime":1966,"endTime":2088,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1966&ask_summarization=1"},{"index":16,"title":"Elektrolizde Hidrojen Gazı","list":{"type":"unordered","items":["Elektroliz hücresinde anot artı elektrot, katot eksi elektrottur ve katotta katyonlar toplanır.","Elektrolizde hidrojen gazı katotta açığa çıkması için katyonların pasif olması gerekir.","Potasyum, alüminyum ve nikel iyonları katotta hidrojen gazı açığa çıkarır, ancak gümüş klorür gibi aktif katyonlar varsa hidrojen gazı açığa çıkmaz."]},"beginTime":2088,"endTime":2276,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=2088&ask_summarization=1"},{"index":17,"title":"Elektroliz Problemi","list":{"type":"unordered","items":["Seri bağlı iki elektroliz kabında birinci kapta 0,30 mol alüminyum metali açığa çıktığında, ikinci kapta 0,45 mol X metali toplanır.","Alüminyum iyonlarının indirgenme tepkimesi: Al³⁺ + 3e⁻ → Al katısıdır.","X²⁺ iyonu nitrat iyonuyla bileşik oluşturduğunda X₃(NO₃)₂ formülü elde edilir."]},"beginTime":2276,"endTime":2377,"href":"/video/preview/13516053823579468555?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=2276&ask_summarization=1"},{"index":18,"title":"Metalleri Korozyondan Koruma 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göre tablolar), basit eşitsizliklerin çözüm tekniklerini ve çeşitli fonksiyon sorularının çözümünü içermektedir. Eğitmen, mutlak değerli eşitsizlikler, rasyonel eşitsizlikler, bileşke fonksiyonlar ve grafiklerle ilgili soruları adım adım çözmekte, çarpanlara ayırma, payda eşitleme ve işaret incelemesi gibi matematiksel yöntemleri kullanmaktadır.","Videoda ayrıca fonksiyonların kökleri, işaret tabloları, pay ve paydadaki köklerin tek ve çift katlı olarak belirlenmesi ve görünmeyen köklerin bulunması gibi konular da ele alınmaktadır. 38. sorudan 56. soruya kadar olan problemler çözülmekte ve her soru için detaylı açıklamalar yapılmaktadır."]},"endTime":2102,"title":"AYT Matematik Kampı: İkinci Dereceden Eşitsizlikler ve Fonksiyonlar","beginTime":0}],"fullResult":[{"index":0,"title":"İkinci Dereceden Eşitsizlikler","list":{"type":"unordered","items":["Bilgi Sarmal AYT Kampı'nın ikinci kampında eşitsizlikler konusu ele alınıyor ve matematik dersi tamamlanıyor.","İkinci dereceden bir eşitsizlikte a sıfır olmamalı, aksi takdirde x kareli ifade gider ve basit eşitsizlik olur.","İkinci dereceden bir eşitsizlikte x kareli terim varsa, büyük eşit, küçük eşit, büyük ya da küçük olma durumlarına eşitsizlik denir."]},"beginTime":0,"endTime":35,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=0&ask_summarization=1"},{"index":1,"title":"Delta Değerine Göre Kökler ve İşaret Tablosu","list":{"type":"unordered","items":["İkinci dereceden bir denklemde delta sıfırdan büyük olduğunda denklemin iki farklı kökü vardır ve bu kökler tabloya küçükten büyüğe yerleştirilir.","Delta sıfırdan küçük olduğunda reel kök yoktur, ancak işaretin olmaması demek değildir.","Delta sıfırdan büyük olduğunda işaret tablosu artı-eksi-eksi-artı veya eksi-artı-eksi-eksi şeklinde olurken, delta sıfır olduğunda çift katlı kökte işaret korunur."]},"beginTime":35,"endTime":131,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=35&ask_summarization=1"},{"index":2,"title":"Eşitsizliklerin Daima Sağlanması","list":{"type":"unordered","items":["Her x elemanıdır R için veya bir eşitsizlik hiçbir zaman sağlanmıyor dendiğinde, delta sıfırdan küçük olduğunda ifade daima pozitif veya negatif olur.","Delta sıfırdan büyük veya sıfır olduğunda, ifadenin daima pozitif veya negatif olamayacağı, nötr bir sayı olduğu için daima pozitif veya negatif olamayacağı belirtilir.","İkinci dereceden bir eşitsizliğin daima pozitif olabilmesi için delta sıfırdan küçük ve x² katsayısı pozitif olmalıdır, daima negatif olabilmesi için delta sıfırdan küçük ve x² katsayısı negatif olmalıdır."]},"beginTime":131,"endTime":254,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=131&ask_summarization=1"},{"index":3,"title":"Eşitsizlik Soruları","list":{"type":"unordered","items":["Basit eşitsizliklerde tablo yapmadan direkt olarak kökler bulunarak eşitsizlik çözülebilir.","Eşitsizliklerde çarpma ve bölme yaparken, pozitif bir sayıyla çarpma veya bölme yapıldığında eşitsizlik yönü değişmezken, negatif bir sayıyla çarpma veya bölme yapıldığında eşitsizlik yönü değişir.","Eşitsizliğin çözüm kümesi verildiğinde, tabloya kökler yerleştirilerek en yüksek dereceli terimin işareti ile başlanır ve tek katlı köklerde işaret değiştirilir."]},"beginTime":254,"endTime":460,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=254&ask_summarization=1"},{"index":4,"title":"Köklerin Bulunması ve Değerlerin Hesaplanması","list":{"type":"unordered","items":["Kökleri bulmak için x=c ve x=4a ifadeleri inceleniyor, a'nın negatif ve c'nin pozitif olduğu biliniyor.","Pozitif kök 4 olduğundan c=4, negatif kök -1/2 olduğundan a=-8 olarak bulunuyor.","a, b, c değerleri istendiğinde cevap -8, 4, -2 olarak hesaplanıyor."]},"beginTime":482,"endTime":523,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=482&ask_summarization=1"},{"index":5,"title":"Eşitsizlik Çözümü ve Tablo Oluşturma","list":{"type":"unordered","items":["f(x) yerine 2x+11x+2 ifadesi kullanılıyor ve f'in tersi bulunuyor.","f'in tersi ve kendisi birbirine eşit olduğundan, iki ifadenin toplamı sıfırdan küçük olacak.","Kökler 2 ve 11,5 olarak bulunuyor, ancak sıfıra eşitlik olmadığı için bu değerler boş bırakılıyor."]},"beginTime":523,"endTime":598,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=523&ask_summarization=1"},{"index":6,"title":"Eşitsizlik Çözüm Tekniği","list":{"type":"unordered","items":["Eşitsizlikleri çözerken önce bir tarafı sıfır yapmak gerekiyor.","İkinci adımda elde edilen ifade çarpanlarına ayrılıyor, parantezin üstündeki sayı çift ise kök çift katlı, tek ise tek katlı olarak kabul ediliyor.","Tabloya kökler küçükten büyüğe yerleştiriliyor, payın kökleri koyu boyanıyor, paydanın kökleri boş bırakılıyor ve tek katlı köklerde tek, çift katlı köklerde çift sıfır konuluyor."]},"beginTime":598,"endTime":698,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=598&ask_summarization=1"},{"index":7,"title":"Eşitsizlik Çözümü","list":{"type":"unordered","items":["Eşitsizlikte sıfır olmadığı için diğer tarafa geçirilerek çarpanlara ayırma işlemi yapılıyor.","Çarpanlara ayırma sonucunda x-3, x+1 ve x-6 kökler bulunuyor ve tek katlı kökler olarak belirleniyor.","Tablo oluşturulduğunda, sıfırdan küçük eşit olan kısımlar 3 ile 6 kapalı aralığındaki 5 tam sayı olup toplamları 18 olarak bulunuyor."]},"beginTime":718,"endTime":813,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=718&ask_summarization=1"},{"index":8,"title":"İkinci Eşitsizlik Sorusu","list":{"type":"unordered","items":["Eşitsizlikte payda eşitleme yapılarak pay ve payda tek payda haline getiriliyor.","Çarpanlara ayırma sonucunda x=4 ve x=-2 kökleri bulunuyor, x=-2 çift katlı kök olarak belirleniyor.","Tablo oluşturulduğunda, sıfırdan büyük olan kısımlar (-∞,-2) ve (4,∞) açık aralıkları olarak bulunuyor."]},"beginTime":813,"endTime":935,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=813&ask_summarization=1"},{"index":9,"title":"Kökler Çarpımı ve Toplamı","list":{"type":"unordered","items":["Denklemin kökleri x₁ ve x₂ olarak verildiğinde, x₂ pozitif, x₁ negatif olduğundan kökler çarpımı eksi oluyor.","Kökler çarpımı c/a olduğundan, m-6/a\u003c0 eşitsizliği elde ediliyor.","Kökler 6 ve -1 olarak bulunuyor, m'nin alabileceği tam sayı değerlerinin toplamı 15 olarak hesaplanıyor."]},"beginTime":935,"endTime":1009,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=935&ask_summarization=1"},{"index":10,"title":"Fonksiyon Eşitsizliği","list":{"type":"unordered","items":["Verilen fonksiyonun değeri sıfırdan büyük ve eşit olması isteniyor.","Çarpanlara ayırma sonucunda (x+4)(x+1)/x ifadesi elde ediliyor.","Tablo oluşturulduğunda, sıfırdan büyük veya eşit olan kısımlar (-∞,-1] ve [0,4] kapalı aralıkları olarak bulunuyor."]},"beginTime":1009,"endTime":1127,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1009&ask_summarization=1"},{"index":11,"title":"Fonksiyon Özellikleri ve Eşitsizlik","list":{"type":"unordered","items":["Fonksiyonun artan olması, birebir ve örten olduğunu gösteriyor.","f⁻¹(x)≤f(x) eşitsizliği elde ediliyor ve f(x) ile f⁻¹(x) birbirini götürerek f(x)≤x³-2x+2 eşitsizliği oluşuyor.","Çarpanlara ayırma sonucunda (x-1)(x+2)≤0 eşitsizliği elde ediliyor ve en büyük x değeri 1 olarak bulunuyor."]},"beginTime":1127,"endTime":1290,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1127&ask_summarization=1"},{"index":12,"title":"Tablo Analizi","list":{"type":"unordered","items":["Tabloda çözüm kümesi verilen eşitsizlik soruluyor.","İşaret değişimi olduğu için -2'nin tek katlı kök olması gerekiyor.","A, B ve E şıklarında köklerin üstü 2 olduğu için çift katlı kök olduğu için bu şıklar eleniyor."]},"beginTime":1290,"endTime":1320,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1290&ask_summarization=1"},{"index":13,"title":"Eşitsizlik Çözümü","list":{"type":"unordered","items":["Eşitsizlik çözümünde çarpanlara ayırma yöntemi kullanılarak kökler bulunuyor ve işaret tablosu oluşturuluyor.","Köklerin tek veya çift katlı olması, çözüm kümesinin belirlenmesinde önemli rol oynuyor.","Eşitsizliğin çözüm kümesi, işaret tablosuna göre belirleniyor ve verilen tabloya uyumlu olan cevap seçiliyor."]},"beginTime":1326,"endTime":1425,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1326&ask_summarization=1"},{"index":14,"title":"Mutlak Değerli Eşitsizlik","list":{"type":"unordered","items":["Mutlak değerli eşitsizlikte, mutlak değerin içini sıfır yapan değer (kök) bulunuyor ve bu değerden büyük ve küçük durumlar inceleniyor.","Her durumda eşitsizlik çözülüyor ve kökler bulunuyor, ardından işaret tablosu oluşturuluyor.","Çözüm kümesi, her iki durumun kesişimi olarak belirleniyor ve tam sayı değerleri toplanıyor."]},"beginTime":1425,"endTime":1574,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1425&ask_summarization=1"},{"index":15,"title":"Mutlak Değerli Denklem","list":{"type":"unordered","items":["Mutlak değerli denklemde, mutlak değerin pozitif veya sıfıra eşit olduğu biliniyor ve bu durumda denklem çözülüyor.","Denklemin çözümü için x ve y değerlerinin işaretleri belirleniyor ve bu değerler kullanılarak denklem çözülüyor.","Çözüm kümesi, denklemin sağlandığı değerler olarak bulunuyor."]},"beginTime":1574,"endTime":1657,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1574&ask_summarization=1"},{"index":16,"title":"Bileşke Fonksiyon Eşitsizliği","list":{"type":"unordered","items":["Bileşke fonksiyon eşitsizliğinde, f(g(x)) ifadesinin sıfırdan küçük ya da eşit olması isteniyor.","f(x) fonksiyonunun grafiği incelenerek, f(g(x)) ifadesinin içi belirleniyor.","Eşitsizlik çözülüyor ve çözüm kümesi bulunuyor."]},"beginTime":1657,"endTime":1724,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1657&ask_summarization=1"},{"index":17,"title":"Fonksiyon Grafiği Eşitsizliği","list":{"type":"unordered","items":["Fonksiyon grafiği eşitsizliğinde, f(x) ve g(x) fonksiyonlarının kökleri bulunuyor.","Pay ve paydanın kökleri belirleniyor ve çift katlı kökler tespit ediliyor.","İşaret tablosu oluşturuluyor ve çözüm kümesi bulunuyor, bu aralıktaki tam sayı değerleri sayılıyor."]},"beginTime":1724,"endTime":1885,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1724&ask_summarization=1"},{"index":18,"title":"Eşitsizlik Sistemi","list":{"type":"unordered","items":["Eşitsizlik sisteminde, parabolün üst kısmı ve doğrunun alt kısmı belirleniyor.","İki eşitsizliğin kesişimi bulunuyor ve bu bölge cevap olarak seçiliyor.","Eşitsizlik sisteminin belirttiği bölge, parabol ve doğrunun kesişimi olarak gösteriliyor."]},"beginTime":1885,"endTime":1934,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1885&ask_summarization=1"},{"index":19,"title":"Fonksiyonun Köklerinin İncelenmesi","list":{"type":"unordered","items":["Fonksiyonun görünen kısmındaki kökler x ekseni kesilip geçtiği için tek katlı köklerdir.","Paydada 1, 3 ve 0 şeklinde kökler mevcuttur, 3 hem payda hem payda olduğu için çift katlı köktür.","Fonksiyonun görünmeyen kısımlarında -2 kökü bulunmaktadır."]},"beginTime":1946,"endTime":1984,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1946&ask_summarization=1"},{"index":20,"title":"İşaret Tablosu Oluşturma","list":{"type":"unordered","items":["İşaret tablosunda en küçük sayı olan 0, payda olduğu için içi boş, 3 çift katlı kök olduğu için içi boş, 7 ise payda sıfır yaptığı için içi doludur.","En sağdan en yüksek dereceli terimin işaretini bulmak için deneme yapılır ve fonksiyonun negatif olduğu aralıklar belirlenir.","İşaret tablosunda tek katlı köklü işaret değiştirirken, çift katlı köklü işaret değiştirmez."]},"beginTime":1984,"endTime":2043,"href":"/video/preview/9048439025941623248?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=1984&ask_summarization=1"},{"index":21,"title":"Köklerin Belirlenmesi","list":{"type":"unordered","items":["Fonksiyonun sıfırdan küçük veya eşit olması için 7'de eşitlik olduğu için 7 dahil edilir.","Sıfırdan küçük değerler 6, 5, 4, 3, 2, 1 aralıklarında bulunur ve -2 de dahil edilir.","-2'nin çift katlı kök olması için fonksiyonun x ekseni teğet olması gerekir, bu nedenle cevap 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Sunucu, Almanya Federal Meclisi'nde alınan sözde Ermeni soykırımı iddiaları oylaması üzerine protesto eden Türk gurbetçileriyle görüşmektedir.","Videoda, protestocuların Almanya Federal Meclisi'nin önünde toplandıkları ve alınan kararı tanımadıkları belirtilmektedir. Protestocular, bu kararın siyasi bir karar olduğunu, Türkiye'nin tarihini sorgulamak için yanlış bir yol olduğunu ve bu kararın hukuki geçerliliğinin olmadığını vurgulamaktadırlar. Ayrıca, günümüzde Filistin, Suriye, Afganistan, Irak ve Uygur Türkleri gibi bölgelerde yaşanan zulümler karşısında bu konunun gündeme getirilmesinin insan hakları açısından sorunlu olduğunu ifade etmektedirler."]},"endTime":497,"title":"Almanya'da Ermeni Soykırımı İddiaları Protestosu","beginTime":0}],"fullResult":[{"index":0,"title":"Almanya'da Ermeni Soykırımı İddiaları Protestosu","list":{"type":"unordered","items":["Almanya'nın Düsseldorf şehrinde, Kuzey Ren-Vestfal eyaleti önünde, Almanya Federal Meclisi'nde sözde Ermeni soykırımı iddiaları oylandıktan sonra gurbetçi siyasi kararı protesto etmek için bir araya gelmişler.","Protestocular, bu karara saygı duymadıklarını ve Türkiye'ye çamur atmaya kimsenin hakkı olmadığını belirtiyorlar.","Alınan kararın siyasi bir karar olduğu için, siyasi bir bina olduğu için seslerin siyasi meydanda duyurulacağı için buraya geldiklerini açıklıyorlar."]},"beginTime":35,"endTime":104,"href":"/video/preview/6125739857661350308?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=35&ask_summarization=1"},{"index":1,"title":"Protestocuların Görüşleri","list":{"type":"unordered","items":["Protestocular, burada yaşıyorlarsa soykırımı kimin yaptığını onlara sormaları gerektiğini ve ülkesiyle tarihiyle gurur duyduklarını ifade ediyorlar.","Alınan kararı tanımadıklarını ve bu kararın siyasi kararın alındığı bahçede meclisin önünde protesto ettiklerini belirtiyorlar.","Kimin soykırım yaptığını çok iyi bildiklerini ve bu karara ancak gülerlerlerini söylüyorlar."]},"beginTime":104,"endTime":157,"href":"/video/preview/6125739857661350308?parent-reqid=1765135963586477-490075018052947630-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Aytk&t=104&ask_summarization=1"},{"index":2,"title":"Farklı Görüşler","list":{"type":"unordered","items":["Bir kişi, Türkiye'de yaşıyor ve buraya bir fuar için 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