The area, A km², of an oil spillage is growing in time t hours according to the DE dA dt = 4et √Ā' The initial area of the spillage was 4 km². Applying four iterations of the A > 0. Forward Euler formula with a step size of h = 1 to this problem yields (a) A(1) ≈ The error in this approximation is (b) A(2)~ The error in this approximation is (c) A(3)~ The error in this approximation is (d) A(4)≈ The error in this approximation is

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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The area, A km²,
of an oil spillage
is growing in time
t hours according
to the DE
dA
dt
=
4et
√Ā
The initial area of
the spillage was 4
km².
A > 0.
Applying four
iterations of the
Forward Euler
formula with a step
size of h = 1 to
this problem yields
(a) A(1) ≈
The error in this
approximation is
(b) A(2)≈
The error in this
approximation is
(c) A(3)≈
The error in this
approximation is
(d) A(4)≈
The error in this
approximation is
Transcribed Image Text:The area, A km², of an oil spillage is growing in time t hours according to the DE dA dt = 4et √Ā The initial area of the spillage was 4 km². A > 0. Applying four iterations of the Forward Euler formula with a step size of h = 1 to this problem yields (a) A(1) ≈ The error in this approximation is (b) A(2)≈ The error in this approximation is (c) A(3)≈ The error in this approximation is (d) A(4)≈ The error in this approximation is
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