Question: Algae Growth When warm water is released into a river from a source such as a power plant, the increased temperature of the water causes some algae to grow and other algae to die. In particular, bluegreen algae that can be toxic to some aquatic life thrive. If \(A(c)\) is the growth rate of blue-green algae (in organisms per \(\left.{ }^{\circ} \mathrm{C}\right)\) and \(c\) is the temperature of the water in \({ }^{\circ} \mathrm{C}\), interpret the following in context:

1. \(\int_{25}^{35} A(c) d c\)
2. The area of the region between the graph of \(A\) and the \(c\) -axis from \(c=30^{\circ} \mathrm{C}\) to \(c=40^{\circ} \mathrm{C}\)

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