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Question B3: If we add the function from B1 and B2, then we obtain a portion of a version of the Batman Function: 2 2

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Question B3: If we add the function from B1 and B2, then we obtain a portion of a version of the \"Batman Function\": 2 2 |'_':5+ 1(||:r|2|1) withdomain [41,4]. (31) For what values of c E [4, 4] is h'(c) undened? h($) = (b) Show that h\"(:r:) is negative except at the points you found in part (a). Question B4: You want to build a cylindrical can out of aluminum. The can will consist of a at circular top, a circular bottom, and a rectangle that will be curved during assembly. There is a limited amount of aluminum available} and you wish your can to have as large a volume as possible. (a) What is the surface area of a can with base radius 7' and height h? (b) If there is 400 cm2 of aluminum available, express it as a function of r. (c) What is the maximum volume possible for the can, and what radius produces this volume

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