Chapter 3: Q 3. (page 298)
Give formulas for the volume and the surface area of a cylinder with radius and height .
Short Answer
Volume of cylinder is.
Surface area of cylinder is.
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Chapter 3: Q 3. (page 298)
Give formulas for the volume and the surface area of a cylinder with radius and height .
Volume of cylinder is.
Surface area of cylinder is.
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Use a sign chart for to determine the intervals on which each function is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.
Sketch careful, labeled graphs of each function f in Exercises 63–82 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 the graph of a function f with the following properties:
f is continuous and defined on R;
f has critical points at x = −3, 0, and 5;
f has inflection points at x = −3, −1, and 2.
Sketch careful, labeled graphs of each function f in Exercises 63–82 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.
Find the possibility graph of its derivative f'.

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