Explanation Given: The cone φ = φ 0 and the sphere ρ = R Formula Used: ∭ W f ( x , y , z ) d V = ∫ δ γ ∫ α β ∫ a b ρ 2 sin φ f ( ρ sin φ cos θ , ρ sin φ s i n θ , ρ cos φ ) d ρ d θ d φ Where a ≤ ρ ≤ b α ≤ θ ≤ β δ ≤ φ ≤ γ Calculation: The given region is: W : 0 ≤ θ ≤ 2 π , 0 ≤ φ ≤ φ 0 , 0 ≤ ρ ≤ R Now, the volume of the region is: ∭ W d V = ∫ 0 2 π ∫ 0 φ 0 ∫ 0 R ρ 2

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 16.4, Problem 52E

To determine

The volume of the region lying above the cone $φ = φ_{0}$ and below the sphere $ρ = R$ .

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Chapter 16.4, Problem 51E

Chapter 16.4, Problem 53E

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الاسم يمنع استخدام الآلة الحاسبة ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف (ص) للإجابة الصحيحة والحرف (خ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي: درجة لكل فقرة. ( ) نها جا 元 جتا = صفر س ۱ س س -۱ ( ) يمكن إعادة تعريف الدالة د(س) = س قاس لكي تكون متصلة عند س = 7 ( ) إذا كانت د(س) = (٢) س - س ) ؛ فإن د(١) = ٦ ٢ س ص ( ) إذا كانت س + 0= ؛ فإن عند ) - ١ ، - ٦ ) تساوي (٦) ( ) إذا كانت د(س) = س ه ، و (س) = ٣ س ٢ + ٢ س ؛ فإن ( د ) (۱) = ۸ ) ( معادلة ناظم الدالة ص = د(س) عند النقطة ) ( ، د (۲)) هي ص - (د (م) - - د (۲) ( س - م ) ( ) إذا كانت ص = ظتا٢ س ؛ فإن ص = ٢ ص قتا ٢س ) ( إذا كانت د(س) = س ؛ فإن د (T) = جتاس 1- T ( ) إذا كانت د(س) = 1 - جناس جاس ؛ فإن د () = - 1 ( ) إذا كانت الدالة د (س) تحقق شروط مبرهنة القيمة المتوسطة على [ ، ب ] ، فإنه يوجد جـ ] ، ب [ بحيث (جـ) = (P) + (~)- - ب + P 1 2 3 4 5 6 7 8 9 10 11 ( ) للدالة د(س) = لو ( س ) + (٣) نقطة حرجة عند س = . ( ) إذا كان س = - ٢ مقارباً رأسياً للدالة د(س) 12 10 13 14 15 16 17 س = لو|س | + ث - = ۲ س + ٣ ب س + ٤ ، فإن معادلة…

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The volume of the region lying above the cone φ = φ 0 and below the sphere ρ = R .

Solution Summary: The author explains how to determine the volume of the region lying above the cone and below the sphere.

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The volume of the region lying above the cone $φ = φ_{0}$ and below the sphere $ρ = R$ .

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Chapter 16 Solutions

The volume of the region lying above the cone φ = φ 0 and below the sphere ρ = R .

Solution Summary: The author explains how to determine the volume of the region lying above the cone and below the sphere.

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The volume of the region lying above the cone φ=φ0and below the sphere ρ=R.

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Chapter 16 Solutions

The volume of the region lying above the cone $φ = φ_{0}$ and below the sphere $ρ = R$ .