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

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Presentation transcript:

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

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

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

Perkins AP Calculus AB Day 12 Section 3.7

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.

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?