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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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A scientist is studying three different cultures of bacteria {labeled "A", "B" and "C"} and wants to mathematically model the bacterial change of each type. To do this, the scientist decides to collect data for 25 consecutive days and builds the following scatter diagrams where the horizontal axis corresponds to "t" and the vertical axis to the amount of bacteria present in the culture P = P (t) Help the scientist decide which mathematical model (initial value problem) to use for each of the three types of crops. To do this, associate each of the graphs above with one of the following initial value problems. Crop type A a) dP/dt = k with P(0)=P0 and k>0.b) dP/dt = k with P(0)=P0 and k<0.c) dP/dt = kt with P(0)=P0 and k>0.d) dP/dt = kt with P(0)=P0 and k<0.e) dP/dt = kP with P(0)=P0 and k>0.f) dP/dt = kP with P(0)=P0 and k<0.g) dP/dt = kP(1-P/M) with P(0)=P0 and M, k>0.h) dP/dt = kP(1-P/M) with P(0)=P0 and M, k<0. Crop type B a) dP/dt = k with P(0)=P0 and…
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Q3) The average annual rainfall at (5) rain gauge stations in the catchment is as follows: ST Station Average Annual Rainfall (mm) P 2400 2332 2431 2207 2231 The rainfall at Station(P) was not available for the year (1996) .The rainfall observe at the other station for (1996) was as follows: PQ Station Rainfall (mm) R ? 2113 2200 2028 2095 т Estimate that rainfall at (P) During (1996).
11–24, find the constant of variation for each of the stated conditions. y varies inversely as x, and y= -4 when x= 1/2 . Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 487). Cengage Learning. Kindle Edition.
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