Question 1027563
This is a related rates problem
:
(69 - 64) / 365 = 1/73
:
dh/dt = 1/73 inch/day
:
L = (4/3) * h^(1/2)
:
dL/dt = (2/3) * h^-(1/2) * dh/dt
:
dL/dt = (2/3) * h^-(1/2) * 1/73
:
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dL/dt = (2/219) * h^-(1/2)
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dL/dt decreases from day 1 to day 365
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here is a graph of dL/dt
:
{{{ graph(600, 50, 1, 365, -0.002, 0.0012, (2/219) / (64 + (x/73))^(1/2) )}}}
:
for h = 64 we have dL/dt = 0.001141553 approx 0.00114 inches/day
for h = 69 we have dL/dt = 0.001099414 approx 0.00109 inches/day
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