A population of cells lives on a triangular region whose vertices are (1,0), (0, 2), and (-1,0). The population density, in cells per mm2, is proportional to the square of the distance from the ori- gin, where the population density at (1,0) is 3 cells per mm2. What is the total population of cells?
A population of cells lives on a triangular region whose vertices are (1,0), (0, 2), and (-1,0). The population density, in cells per mm2, is proportional to the square of the distance from the ori- gin, where the population density at (1,0) is 3 cells per mm2. What is the total population of cells?
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 71SE: Prove the conjecture made in the preceding exercise.
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Transcribed Image Text:Calculate the following as double integrals.
Transcribed Image Text:A population of cells lives on a triangular region whose vertices are (1,0), (0, 2), and (-1,0). The
population density, in cells per mm2, is proportional to the square of the distance from the ori-
gin, where the population density at (1,0) is 3 cells per mm2. What is the total population of cells?
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