120229 Polynomial application problems

Segments in your diagram with their lengths these

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segments in your diagram with their lengths (these will be formulas in terms of x ). b. What are the length, width, and height of the box, in terms of x ? c. Write a function V ( x ) expressing the volume of the box. d. Only some values of x would be meaningful in this problem. What is the interval of appropriate x -values? e. Using the interval you just named, make the graph V ( x ) on your calculator, then sketch it on paper. f. What value of x would produce a box with maximum volume? g. What are the dimensions and the volume for the box of maximum volume? 3. Here are two important formulas for a sphere of radius r : The surface area of the sphere: S ( r ) = 4 π r 2 . The volume of the sphere: V ( r ) = 3 4 π r 3 . a. The radius of the Earth is 3963 miles. Assuming the Earth is a perfect sphere (almost but not quite true), calculate its surface area and its volume. b. An air balloon is shaped like a sphere and has a volume of 1000 cubic inches. What is the surface area of the balloon? c. An astronomer discovers Planet X and Planet Y. Planet Y has twice the radius of Planet X. How do the planets’ surface areas compare? How do their volumes compare? more problems on back…
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Name Honors Algebra 2 February 29, 2012 Polynomial application problems page 2 4. Grain is often stored in a silo that is shaped like a cylinder topped by a hemisphere dome.
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  • Fall '12
  • JenniferSera
  • Algebra, Quartic, Polynomial application problems

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