Growth of a Rabbit Colony A colony of rabbits begins with one pair of mature rabbits, which produces a pair of offspring (one male, one female) each month. Assume that all rabbits mature in 1 month and produce a pair of offspring (one male, one female) after 2 months. If no rabbits ever die, how many pairs of mature rabbits are there after 7 months? See figure. top right. (Hint: A Fibonacci sequence models this colony. Do you see why?)
Growth of a Rabbit Colony A colony of rabbits begins with one pair of mature rabbits, which produces a pair of offspring (one male, one female) each month. Assume that all rabbits mature in 1 month and produce a pair of offspring (one male, one female) after 2 months. If no rabbits ever die, how many pairs of mature rabbits are there after 7 months? See figure. top right. (Hint: A Fibonacci sequence models this colony. Do you see why?)
Solution Summary: The author explains that a colony of rabbits begins with one pair of mature rabbit, which produces one male, one female, after 2 months.
Growth of a Rabbit Colony A colony of rabbits begins with one pair of mature rabbits, which produces a pair of offspring (one male, one female) each month. Assume that all rabbits mature in
1
month and produce a pair of offspring (one male, one female) after
2
months. If no rabbits ever die, how many pairs of mature rabbits are there after
7
months? See figure. top right. (Hint: A Fibonacci sequence models this colony. Do you see why?)
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
Chapter 12 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
University Calculus: Early Transcendentals (4th Edition)
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