(c) Calculate the population of a spherical cloud of locusts which lies in the ball x2 + y?+ (z – 1)² < 1 if the population density is A(x, y, z) = 100z², in locusts/m³.
(c) Calculate the population of a spherical cloud of locusts which lies in the ball x2 + y?+ (z – 1)² < 1 if the population density is A(x, y, z) = 100z², in locusts/m³.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(c) Calculate the population of a spherical cloud of locusts which lies in the ball x? + y? + (z – 1)² <1 if the
population density is A(x, y, z) = 100z?, in locusts/m³.
(d) Calculate the volume of the portion of the sphere x? + y² + z?
(Hint: How much of the sphere is removed?)
= 4 which lies in the region where z < 1.
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