[See Steps] A , B and C are quantities that change with time and are related by the equation (A^2+5 B)^2.6=C At the moment that A=8 units and B=2 units,
Question: \(A\) , \(B\) and \(C\) are quantities that change with time and are related by the equation
\[\left(A^{2}+5 B\right)^{2.6}=C\]At the moment that \(A=8\) units and \(B=2\) units, \(B\) is decreasing at a rate of 9.9 units per second and \(C\) is increasing at a rate of 1.9 units per second.
Showing all steps, use the method of related rates to determine the rate at which \(A\) is changing at this moment.
Do not round intermediate calculations. Round your final answer to 2 decimal places.
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