إجابات كتاب التمارين
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(2)
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(3)
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أجد قيمة كل من التكاملات الآتية:
(7)
(8)
(9)
(10)
(11) أجد مساحة المنطقة المظللة في التمثيل البياني المجاور.
(12) الإيراد الحدي: يمثل الاقتران: الإيراد الحدي (بالدينار) لكل قطعة تباع من إنتاج إحدى الشركات، حيث عدد القطع المبيعة، و إيراد بيع قطعة بالدينار. أجد اقتران الإيراد ، علماً بأن .
يمثل الاقتران في كل مما يأتي ميل المماس لمنحنى الاقتران المار بالنقطة المعطاة، أستعمل المعلومات المعطاة لإيجاد قاعدة الاقتران :
(13)
(14)
(15) يتحرك جسيم في مسار مستقيم، وتعطى سرعته المتجهة بالاقتران: ، حيث الزمن بالثواني، و سرعته المتجهة بالمتر لكل ثانية. إذا بدأ الجسيم حركته من نقطة الأصل، فأجد موقعه بعد ثانية من بدء الحركة.
النقاشات