A2­ Wednesday & Thursday 2.8.12 & 2.9.12
* Go over HW ­ Questions?!?!
* Application Practice
* Quiz Corrections
*** HAVE YOUR GRAPHING CALCULATORS HANDY***
Friday ­ Partner Quiz on APPLICATION Problem :)
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Example 1: In order to eliminate some choices on a standardized test, Ruth identifies which of these functions could NOT have a local maximum. EXPLAIN YOUR CHOICE.
A) F(x) = ­7x2 + 5x + 2
B) F(x) = ­7x3 + 5x ­ 11
C) F(x) = 7x3 ­ 5x2 ­ 2
D) F(x) = 7x2 ­ 3x ­ 18
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Example 2: The Spanish Club members are baking and selling fruit bars to raise money for a trip. They are going to make open boxes to display the bars from sheets of cardboard that are 11 inches by 17 inches. They will cut a square from each corner and fold up the sides and tape them. Find the maximum value for the volume of the box and find it's dimensions.
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Example 3: An artist plans to construct an open box from a 15 in. by 20 in. sheet of metal by cutting squares from the corners and folding up the sides. Find the maximum volume of the box and the corresponding dimensions.
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Example 4: Arturo is going to build a dog run using one side of his house and 100 feet of fencing. His design has an area that can be modeled by A(x) = 100x ­ 7x2. What is the maximum area he can enclose?
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