The following four equations represent the growth rates of different towns. PA = 1019e0.04031 Pg = 839e-0.0159t Pc = 1350e0.0147t Pp = 891e0.0728rt %3D %3D (a) Which town is growing fastest (that is, has the largest percentage growth rate)? D (Enter the letter for the town: A, B, ...) (b) Which town is the largest right now (1.e., when t = 0 )? c (Enter the letter for the town: A, B, .) (c) List the letters for all towns that are decreasing in size: (For example, you might enter "A C" (WITHOUT THE QUOTES).) (d) List the letters for all towns that are increasing in size:| (For example, you might enter "AC" (WITHOUT THE QUOTES).)

The following four equations represent the growth rates of different towns. PA = 1019e0.04031 Pg = 839e-0.0159t Pc = 1350e0.0147t Pp = 891e0.0728rt %3D %3D (a) Which town is growing fastest (that is, has the largest percentage growth rate)? D (Enter the letter for the town: A, B, ...) (b) Which town is the largest right now (1.e., when t = 0 )? c (Enter the letter for the town: A, B, .) (c) List the letters for all towns that are decreasing in size: (For example, you might enter "A C" (WITHOUT THE QUOTES).) (d) List the letters for all towns that are increasing in size:| (For example, you might enter "AC" (WITHOUT THE QUOTES).)

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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

The following four equations represent the growth rates of different towns.
PA = 1019e0.04031
Pg = 839e-0.0159t
Pc = 1350e0.0147t
Pp = 891e0.07281
(a) Which town is growing fastest (that is, has the largest percentage growth rate)? D
(Enter the letter for the town: A, B, ..)
(b) Which town is the largest right now (1.e., when t = 0 )? c
(Enter the letter for the town: A, B, .)
(c) List the letters for all towns that are decreasing in size:
(For example, you might enter "A C" (WITHOUT THE
QUOTES).)
(d) List the letters for all towns that are increasing in size:
(For example, you might enter "A C" (WITHOUT THE
QUOTES).)

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