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(Solved): Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure. The amount of ...
Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure. The amount of wax W in the cell depends on the apex angle θ and is given by
W = 3.02 – 0.38 cot θ + 0.65 csc θ
Bees instinctively choose θ so as to use the least amount of wax possible.
(a) Use a graphing device to graph W as a function of θ for 0 < θ < π.
(b) For what value of θ does W have its minimum value? [Note: Biologists have discovered that bees rarely deviate from this value by more than a degree or two.]
1. Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure. The amount of wax in the cell depends on the apex angle and is given by Bees instinctively choose so as to use the least amount of wax possible. (a) Use a graphing device to graph as a function of for . (b) For what value of does have its minimum value? [Note: Biologists have discovered that bees rarely deviate from this value by more than a degree or two.]
Expert Answer
71) In a beehive each cell is a regular hexagonal prism. The amount of wax W in the cell depends on the apex angle and is given by Bees instinctively choose so as to use the least amount of wax possible.a) Use a graphing device to graph W as a function of for b) For what value of theta does W have its minimum value?a) Let us take points to graph the equation.When , we have ( as