12. Which of the following best models the population thatis continuously growing at 5% per year starting at30,000?A) f(t) = 30000 e5tB) f(t) = 30000 · e005tC) f(t) = 30000 · e105tD) f(t) = 30000(1.05')E) f(t) = 30000(0.05')%3D%3D%3D%3D difference of squares x? - a? = (x - a)(x + a)difference of cubessum of cubes x + a = (x + a)(x² - ax + a?)x³ - a = (x - a)(x² + ax + a²)Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72)Continuous compounding model: f(t) = Per Discontinuous compounding model: (t) = P(1+n)-b±/6²-4ac2aQuadratic formula: If 0 = ax² + bx + c, then =1 TH2 If f(Y) - Y.2 and a(x) = x² + 2x what is the compositionho grog of a

population increasing also depends on what is actual population right now Let f(t) is the…

12. Which of the following best models the population that is continuously growing at 5% per year starting at 30,000? A) f(t) = 30000 e5t B) f(t) = 30000 e005t C) f(t) = 30000 e .05t D) f(t) = 30000(1.05') E) f(t) = 30000(0.05') %3D %3D %3D

12. Which of the following best models the population that is continuously growing at 5% per year starting at 30,000? A) f(t) = 30000 e5t B) f(t) = 30000 e005t C) f(t) = 30000 e .05t D) f(t) = 30000(1.05') E) f(t) = 30000(0.05') %3D %3D %3D

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

100%

12. Which of the following best models the population that
is continuously growing at 5% per year starting at
30,000?
A) f(t) = 30000 e5t
B) f(t) = 30000 · e005t
C) f(t) = 30000 · e105t
D) f(t) = 30000(1.05')
E) f(t) = 30000(0.05')
%3D
%3D
%3D
%3D

difference of squares x? - a? = (x - a)(x + a)
difference of cubes
sum of cubes x + a = (x + a)(x² - ax + a?)
x³ - a = (x - a)(x² + ax + a²)
Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72)
Continuous compounding model: f(t) = Per Discontinuous compounding model: (t) = P(1+n)
-b±/6²-4ac
2a
Quadratic formula: If 0 = ax² + bx + c, then =
1 TH
2 If f(Y) - Y.2 and a(x) = x² + 2x what is the composition
ho grog of a

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