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2/14/2016 Perkins AP Calculus AB Day 12 Section 3.7.

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Presentation on theme: "2/14/2016 Perkins AP Calculus AB Day 12 Section 3.7."— Presentation transcript:

1 2/14/2016 Perkins AP Calculus AB Day 12 Section 3.7

2 1.An open box having a square base and a surface area of 108 square inches is to have a maximum volume. Find its dimensions. Primary Secondary Intervals: Test values: V ’(test pt) V(x) rel max Domain of x will range from x being as small as possible to x as large as possible. Smallest (x is near zero) Largest (y is near zero) Dimensions: 6 in x 6 in x 3 in

3 2.A rectangular page is to contain 24 square inches of print. The margins at the top and bottom are 1.5 inches. The margins on each side are 1 inch. What should the dimensions of the print be to use the least paper? Primary Secondary Intervals: Test values: A ’(test pt) A(x) rel min Smallest (x is near zero) Largest (y is near zero) Print dimensions: 6 in x 4 in Page dimensions: 9 in x 6 in

4 Perkins AP Calculus AB Day 12 Section 3.7

5 1.An open box having a square base and a surface area of 108 square inches is to have a maximum volume. Find its dimensions.

6 2.A rectangular page is to contain 24 square inches of print. The margins at the top and bottom are 1.5 inches. The margins on each side are 1 inch. What should the dimensions of the print be to use the least paper?

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