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Maths - The average length (L) and width (W) of bird eggs

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Question;The average length (L) and width (W) of bird eggs are: Bird 1 -L=8.6, W=5.8, Bird 2 - L=1.9, W=1.5, Bird 3 - L=3.1, W=2.3, Bird 4 - L=1, W=1, Bird 5 - L=5, W=3.3.a. Assume that a bird's egg is roughly the shape of an ellipsoid. Use the following formula to estimate the volume of an egg of each bird. V=(4*(pi)ab^2)/3b. The average length of an egg of width W is given by L=1.585W-0.487. Using this result and the ideas in part a, show that the average volume of an egg of width W centimeters is given by V=@DIV{?(1.585W@Sup{3}-0.487W@Sup{2}),6}. Use this formula to calculate the average volume for the bird eggs in part a, and compare with your results from part a.

 

Paper#60973 | Written in 18-Jul-2015

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