PRECALCULUS ADVANCED
PRECALCULUS ADVANCED
NOTES ON OPTIMIZATION – DAY 2
Write a function for each problem, and then use your calculator to find the answer. Draw a sketch of the function you used, and label your answer on your sketch.
Ex. A closed box with a square base must have a volume of 64 cu. cm. Find the
dimensions of the box that will minimize the amount of material used.
Ex. An open box is to be made from a square piece of sheet metal, 8 inches by 10 inches, by
cutting out squares of equal size from the four corners and bending up the sides. Find the
maximum volume that the box can have. What size squares should be cut to create the
box of maximum volume?
Ex. A cylindrical can with closed bottom and closed top is to be constructed to have a volume of
one gallon (approximately 231 cubic inches). The material used to make the bottom and top
costs $0.08 per square inch, and the material used to make the curved surface costs $0.05 per
square inch. Find the radius and height of the can to minimize the total cost, and determine
what that minimum cost is.
(Volume of a cylinder = [pic] and Surface Area of a closed cylinder = [pic])
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- precalculus 7th edition pdf free
- precalculus stewart 6th edition pdf
- precalculus textbook seventh edition pdf
- precalculus textbook 6th edition pdf
- precalculus seventh edition pdf
- pearson precalculus textbook pdf
- precalculus textbook sullivan pdf
- pearson precalculus book pdf
- pearson precalculus online textbook
- stewart precalculus pdf
- precalculus book pdf
- pearson precalculus 8th edition pdf