A cylindrical can without top is made to contain 2m3 of liquid. We want to find the dimension that will minimize the cost of the metal to make the can. (a) Express the surface area S of the can as a function of the radius r. (b) Compute lim S(r) and lim S(r). r→0+ r→+∞ (c) Find the critical point(s), make a table, and sketch S(r)

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