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Suppose T = T(x, y, z) = x² + 2². The level surface T-1 is a vertical cylinder of radius 1 centered at the z-axis. a cylinder of radius 1 centered at the y-axis. a cylinder of radius 1 centered at the x-axis. a circle of radius 1 on xz-plane centered at the origin. A population P=P(t) is modeled by the differential equation dP P = (P-500) (6 ) dt 500 Which one of the following statements is true? A population with initial size P(0)=300 will increase over time. A population with initial size P(0)=3500 will increase over time. A population with initial size P(0)=1000 will decrease over time. A population with initial size P(0)=800 will increase over time.

Suppose T = T(x, y, z) = x² + 2². The level surface T-1 is a vertical cylinder of radius 1 centered at the z-axis. a cylinder of radius 1 centered at the y-axis. a cylinder of radius 1 centered at the x-axis. a circle of radius 1 on xz-plane centered at the origin. A population P=P(t) is modeled by the differential equation dP P = (P-500) (6 ) dt 500 Which one of the following statements is true? A population with initial size P(0)=300 will increase over time. A population with initial size P(0)=3500 will increase over time. A population with initial size P(0)=1000 will decrease over time. A population with initial size P(0)=800 will increase over time.

Advanced Engineering Mathematics
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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Suppose T = T(x, y, z) = x² + 2². The level surface T-1 is a vertical cylinder of radius 1 centered at the z-axis. a cylinder of radius 1 centered at the y-axis. a cylinder of radius 1 centered at the x-axis. a circle of radius 1 on xz-plane centered at the origin.
Transcribed Image Text:Suppose T = T(x, y, z) = x² + 2². The level surface T-1 is a vertical cylinder of radius 1 centered at the z-axis. a cylinder of radius 1 centered at the y-axis. a cylinder of radius 1 centered at the x-axis. a circle of radius 1 on xz-plane centered at the origin.
A population P=P(t) is modeled by the differential equation dP P = (P-500) (6 ) dt 500 Which one of the following statements is true? A population with initial size P(0)=300 will increase over time. A population with initial size P(0)=3500 will increase over time. A population with initial size P(0)=1000 will decrease over time. A population with initial size P(0)=800 will increase over time.
Transcribed Image Text:A population P=P(t) is modeled by the differential equation dP P = (P-500) (6 ) dt 500 Which one of the following statements is true? A population with initial size P(0)=300 will increase over time. A population with initial size P(0)=3500 will increase over time. A population with initial size P(0)=1000 will decrease over time. A population with initial size P(0)=800 will increase over time.
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