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Minimizing cost. Assume that the costs of the materials for making the cylindrical container described in Exercise 48
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- Find the points on the sphere x +y +z = 154 where f(x,y,z) = 3x + 8y + 9z has its maximum and minimum values. 2 %3Darrow_forwardFind the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 3x = y², x = 0, y = 6; about the y-axis V = Sketch the region. y 7 6 5 4 3 2 1 0.5 1.0 1.5 6 5 4 3 2 1 y 0.5 1.0 1.5 iarrow_forwardA cylindrical can, open at the top, is to hold 600 cm of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can. NOTE: Eter the enact anwers. h = cm r = cm Hint Assistance Used The surface area of a cylinder is S= 2ar + 2erh. where r is the radius and A is the height. Consider how the surface area of the can in this problem, which is open at the top, differs from that of a cylinder.arrow_forward
- Wing design The design of a new airplane requires a gasoline tank of constant cross-sectional area in each wing. A scale draw- ing of a cross-section is shown here. The tank must hold 5000 lb of gasoline, which has a density of 42 lb/ft'. Estimate the length of the tank by Simpson's Rule. Yo Yi P2 |3 4 sY6 Yo = 1.5 ft, yı =1.6 ft, y2= 1.8 ft, y3=1.9 ft, Y4 = 2.0 ft, ys=Y6=2.1 ft Horizontal spacing = 1 ftarrow_forwardA Geometry B (SCV X t → G A Celebrate Darknex | Microsoft Word - x | Microsoft Word accelerate-scva.vschool.com/student/205048173/activity/A8ZU2 A Accelerate Education a Amazon All Your Back to Sch... ← E Pyramids and Cones Quiz Geometry B (SCVA) FTS / Area ☐ 2. Find the surface area of this pyramid. 12 m 144 m² 432 m² 360 m² 576 m² 6m 8 m New version available MBarrow_forwardFind the dimensions of the box with volume 1000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.) (x, y, z) = Need Help? Read Itarrow_forward
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- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,