A long, thin rope containing insect repellant is placed along the z-axis. The density of insects at a point (z, y, z) is given by p(z, y, z) – 5(x² + y*) insects per cubic foot, where z,y, and z are measured in feet. (a) of insects increase or decrease as you move away from the z-axis? What is the insect density at the point (1,1,2)? Does the density

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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(b)
insects per cubic foot.
Describe the set of all points at which the insect density is 20
(c)
shape of the level surfaces?
Describe the level surfaces of the function p. Identify the general
Transcribed Image Text:(b) insects per cubic foot. Describe the set of all points at which the insect density is 20 (c) shape of the level surfaces? Describe the level surfaces of the function p. Identify the general
2.
A long, thin rope containing insect repellant is placed along the z-axis.
The density of insects at a point (1, y, z) is given by p(r, y, z) = 5(x² + y*) insects
per cubic foot, where 1, y, and z are measured in feet.
(a)
of insects increase or decrease as you move away from the z-axis?
What is the insect density at the point (1,1,2)? Does the density
Transcribed Image Text:2. A long, thin rope containing insect repellant is placed along the z-axis. The density of insects at a point (1, y, z) is given by p(r, y, z) = 5(x² + y*) insects per cubic foot, where 1, y, and z are measured in feet. (a) of insects increase or decrease as you move away from the z-axis? What is the insect density at the point (1,1,2)? Does the density
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