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3.3 pt 2 (1) - 200 3 Higher Derivatives and Extrema_w 4 ...

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Unformatted text preview: 200 3. Higher Derivatives and Extrema _______w 4' § 4-way.z:;;~$¢,¢?4$?l(f¢é‘“ “wow I: "was: It}: “rwé'IIfiW-esazae. $349 31"}..‘Wofib‘em‘itz4'fi-v MN?! 4- o '0' o ““5 era—1a- \tss;§§££:~:~%‘ 7—71!» 1... FIGURE 3.3.11. Graph of z = sin (fl$)/(1 + yz). 15. Show that a rectangular box of given volume has minimum surface area when the box is a cube. 14. Show that the rectangular parallelepiped with fixed surface area and max imum volume is a cube. 15. Write the number 120 as a sum of three numbers so that the sum of the products taken two at a time is a maximum. 16. Find the point nearest the origin in the plane 2:1: ._ y + 22 = 20. i 17. Suppose that the material for the bottom of the box in Example 6 costs b cents per square centimeter, while that for the sides costs 3 cents per square centimeter. Find the dimensions that minimize the cost of the ma- terial. ...
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