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Use the figure above and the fact that P(0) = 10 to find the values

Use the figure above and the fact that P(0) = 10 to find the values

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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You are given the following graph of \( \frac{dP}{dt} \). (Graph Description: The graph shows the derivative \( \frac{dP}{dt} \) as a function of time \( t \). The y-axis ranges from -1 to 1. The x-axis (time \( t \)) is marked from 0 to 5.) - From \( t = 0 \) to \( t = 1 \), \( \frac{dP}{dt} = -1 \). - From \( t = 1 \) to \( t = 3 \), \( \frac{dP}{dt} = 0 \). - From \( t = 3 \) to \( t = 4 \), \( \frac{dP}{dt} = 1 \). - From \( t = 4 \) to \( t = 5 \), \( \frac{dP}{dt} = 0 \). Use the figure above and the fact that \( P(0) = 10 \) to find the values below. - \( P(1) = 9 \) ✔️ - \( P(2) = 8 \) ✔️ - \( P(3) = \) - \( P(4) = \) - \( P(5) = \)
Transcribed Image Text:You are given the following graph of \( \frac{dP}{dt} \). (Graph Description: The graph shows the derivative \( \frac{dP}{dt} \) as a function of time \( t \). The y-axis ranges from -1 to 1. The x-axis (time \( t \)) is marked from 0 to 5.) - From \( t = 0 \) to \( t = 1 \), \( \frac{dP}{dt} = -1 \). - From \( t = 1 \) to \( t = 3 \), \( \frac{dP}{dt} = 0 \). - From \( t = 3 \) to \( t = 4 \), \( \frac{dP}{dt} = 1 \). - From \( t = 4 \) to \( t = 5 \), \( \frac{dP}{dt} = 0 \). Use the figure above and the fact that \( P(0) = 10 \) to find the values below. - \( P(1) = 9 \) ✔️ - \( P(2) = 8 \) ✔️ - \( P(3) = \) - \( P(4) = \) - \( P(5) = \)
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