Numerical, Graphical, and Analytic Analysis A right

Chapter 3, Problem 32

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Numerical, Graphical, and Analytic Analysis A right circular cylinder is to be designed to hold 22 cubic inches of a soft drink (approximately 12 fluid ounces). (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) (b) Use a graphing utility to generate additional rows of the table. Use the table to estimate the minimum surface area. (Hint: Use the table feature of the graphing utility.) (c) Write the surface area as a function of (d) Use a graphing utility to graph the function in part (c) and estimate the minimum surface area from the graph. (e) Use calculus to find the critical number of the function in part (c) and find dimensions that will yield the minimum surface area. x3xy