مسالة ديناميكا ان لم يتم ملاحظتها لانها في نهاية موضوعي الاخير

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مسالة ديناميكا ان لم يتم ملاحظتها لانها في نهاية موضوعي الاخير

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الحل
بفرص أن الجزئين المقطوعيين من المحاور هما أ ، ب
تكون المعادلة هى س/أ + ص /ب = 1
فتكون المعادلة هى 3 / أ+ 5 / ب = 1
وبذلك يكون 3 ب + 5 أ = أ ب و منها 5 أ = أ ب - 3 ب = ب ( أ - 3 )
وبالتالى يكون ب = 5 أ /( أ - 3 )
( مساحة المثلث ) م = 1 / 2 أ ب = 5 أ تربيع / 2 ( ا - 3 )
و بالتالى د م / د أ =( ( أ - 3 ) × 10أ - 5 أ تربيع × 1 ) / (2 × ( ا - 3 ) تربيع )
د م / د أ = (5 أ تربيع - 30 أ ) / المقام
عند القيم العظمى و الصغرى يكون د م / د أ = صفر
ومنها يكون 5 أ ( أ - 6 ) = صفر
إ شارة المشتقة تكون موجبة فى الفترة ح - [ صفر , 6 ]
و تكون سالبة فى الفترة ] صفر , 6 [ تكون القيمة الصغرى للمساحة تكون عند أ = 6 , ب = 10
المساحة المطلوبة = 30 وحدة مربعة

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