A scientist has gathered the following reaction rate data. t= 0 t=2 t= 4 t=6 0.5 -2.75 [A] = 5 -0.75 2.25 [A] = 4-1.75 [A] = 3 [A] = 2 0.5 [A] = 1 [A] = 0 -1.5-1.75 0.5 -1.75 %3D %3D -1 -2 -1 0.75 -0.25 -0.25 -3 2.5 -2.25 %3D 0.5 1.5 -0.5 <-3 %3! If [A] = 1 at t = 0, use Euler's method to calculate the best %3! approximation of [A] at t = 6. o a) [A] = 1.5 o b) [A] = 1 [A] = 0.5 o d) [A] = 0 e) [A]= 1.25 [A] 0.75

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A scientist has gathered the following reaction rate data.
t= 0 t=2 t=4 t=6
[A] = 5 -0.75 2.25
[A] = 4 -1.75
[A] = 3
[A] = 2 0.5
[A] = 1
[A] = 0 -1.5-1.75
3
0.5
-1
-2
%3!
-2.75
2.5 -2.25
0.75 -0.25 -0.25
%3!
-1
0.5
%3D
1.5
-3
-0.5
-3
0.5
-1.75
If [A] = 1 at t = 0, use Euler's method to calculate the best
approximation of [A] at t = 6.
o a)
[A] = 1.5
o b)
[A] =1
[A] = 0.5
o d)
[A] = 0
e)
[A] = 1.25
[A] = 0.75
Transcribed Image Text:A scientist has gathered the following reaction rate data. t= 0 t=2 t=4 t=6 [A] = 5 -0.75 2.25 [A] = 4 -1.75 [A] = 3 [A] = 2 0.5 [A] = 1 [A] = 0 -1.5-1.75 3 0.5 -1 -2 %3! -2.75 2.5 -2.25 0.75 -0.25 -0.25 %3! -1 0.5 %3D 1.5 -3 -0.5 -3 0.5 -1.75 If [A] = 1 at t = 0, use Euler's method to calculate the best approximation of [A] at t = 6. o a) [A] = 1.5 o b) [A] =1 [A] = 0.5 o d) [A] = 0 e) [A] = 1.25 [A] = 0.75
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