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ang constant. which 1. Find the minimum possible volume V of a cone in v a sphere of given radius R is inscribed. Minimize V as a function of the angle indicated in Fig. 3.7.15. R stati Those w FIGURE 3.7.15 Finding the smallest cone containing a fixed sphere (Problem 81).

ang constant. which 1. Find the minimum possible volume V of a cone in v a sphere of given radius R is inscribed. Minimize V as a function of the angle indicated in Fig. 3.7.15. R stati Those w FIGURE 3.7.15 Finding the smallest cone containing a fixed sphere (Problem 81).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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80. A circular patch of grass of radius 20 m is surrounded by a walkway, and a light is placed atop a lamppost at the cir cle's center. At what height should the light be placed to illuminate the walkway most strongly? The intensity of il (k sin 0)/ D, where lumination I of a surface is given by I= (3.800 Dis the distance from the light source to the surface, is the angle at which light strikes the surface, and k is a positive 81. Find the minimum possible volume V of a cone in which a sphere of given radius R is inscribed. Minimize V as a constant. function of the angle indicated in Fig. 3.7.15. Those Tver FIGURE 3.7.15 Finding the smallest cone containing a fixed sphere (Problem 81). TC/2 82. A very long rectangular piece of paper is 20 cm wide. The bottom right-hand corner is folded along the crease shown in Fig. 3.7.16, so that the corner just touches the left-hand the crease 0 FIGURE 3 inscribed 84. A logger must cr of diameter 30 cr Fig. 3.7.18. The b ent internal angl maximal when t equal sides and Note that a +:
Transcribed Image Text:80. A circular patch of grass of radius 20 m is surrounded by a walkway, and a light is placed atop a lamppost at the cir cle's center. At what height should the light be placed to illuminate the walkway most strongly? The intensity of il (k sin 0)/ D, where lumination I of a surface is given by I= (3.800 Dis the distance from the light source to the surface, is the angle at which light strikes the surface, and k is a positive 81. Find the minimum possible volume V of a cone in which a sphere of given radius R is inscribed. Minimize V as a constant. function of the angle indicated in Fig. 3.7.15. Those Tver FIGURE 3.7.15 Finding the smallest cone containing a fixed sphere (Problem 81). TC/2 82. A very long rectangular piece of paper is 20 cm wide. The bottom right-hand corner is folded along the crease shown in Fig. 3.7.16, so that the corner just touches the left-hand the crease 0 FIGURE 3 inscribed 84. A logger must cr of diameter 30 cr Fig. 3.7.18. The b ent internal angl maximal when t equal sides and Note that a +:
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