b. The Rachel Problem R(t) Horizon line at time t The figure above shows a schematic of the moon rising over the eastern horizon. At time t after the start of moonrise, the area A(t) of the region R(t) of the moon above the horizon is 2a A(t) = ma -2Va? – w*dw, 0Sts k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b. The Rachel Problem
R(t)
Horizon line at time t
The figure above shows a schematic of the moon rising over the eastern horizon. At time t
after the start of moonrise, the area A(t) of the region R(t) of the moon above the horizon
is
2a
A(t) = ma² -2Va? – w*dw, 0stS,
%3D
where a is the radius of the moon and k is a positive constant. Find the rate of change A'(t)
of A(t) at timet=
2k
%3D
Transcribed Image Text:b. The Rachel Problem R(t) Horizon line at time t The figure above shows a schematic of the moon rising over the eastern horizon. At time t after the start of moonrise, the area A(t) of the region R(t) of the moon above the horizon is 2a A(t) = ma² -2Va? – w*dw, 0stS, %3D where a is the radius of the moon and k is a positive constant. Find the rate of change A'(t) of A(t) at timet= 2k %3D
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