Mathematics, 29.06.2019 16:50, metatiley
In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the other end as in the figure. it is believed that bees form their cells in such a way as to minimize the surface area for a given volume, thus using the least amount of wax in cell construction. examination of these cells has shown that the measure of the apex angle θ is amazingly consistent. based on the geometry of the cell, it can be shown that the surface area s is given by s = 6sh − 3 2 s2 cot(θ) + 3s2 3 / 2 csc(θ) where s, the length of the sides of the hexagon, and h, the height, are constants. (a) calculate ds/dθ. ds dθ = correct: your answer is correct. (b) what angle should the bees prefer? † (round your answer to two decimal places.) ° (c) determine the minimum surface area of the cell (in terms of s and h).
Answers: 3
Mathematics, 21.06.2019 17:30, Jcmandique3444
Consider the graph of the exponential function y=3(2)×
Answers: 1
Mathematics, 21.06.2019 22:00, MichealM7668
Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.
Answers: 1
In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the...
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