(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.

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(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.
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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