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Chapter 3: Q. 2 (page 313)
A box of height h with a square base of area A
(a) Volume of the square box is,
(b) Surface area of the square box is,
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For each set of sign charts in Exercises 53鈥�62, sketch a possible graph of f.
Last night at 6 p.m., Linda got up from her blue easy chair. She did not return to her easy chair until she sat down again at 8 p.m. Let s(t) be the distance between Linda and her easy chair t minutes after 6 p.m. last night.
(a) Sketch a possible graph of s(t), and describe what Linda did between 6 p.m. and 8 p.m. according to your graph. (Questions to think about: Will Linda necessarily move in a continuous and differentiable way? What are good ranges for t and s?
(b) Use Rolle鈥檚 Theorem to show that at some point between 6 p.m. and 8 p.m., Linda鈥檚 velocity v(t) with respect to the easy chair was zero. Find such a place on the graph of s(t).
Sketch careful, labeled graphs of each function f in Exercises 63鈥�82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of and examine any relevant limits so that you can describe all key points and behaviors of f.
Sketch careful, labeled graphs of each function f in Exercises 63鈥�82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of and examine any relevant limits so that you can describe all key points and behaviors of f.
For each set of sign charts in Exercises 53鈥�62, sketch a possible graph of f.
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