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The average germination time g (measured in days) of a batch of seeds depends on the temperature T (measured in degrees centigrade) and the water...
The average germination time g (measured in days) of a batch of seeds depends on the temperature T (measured in degrees centigrade) and the water potential P (measured in megapascals).
If the temperature is 25 degrees centigrade and the water potential is −0.5 megapascals, the germination time is 1.893 days. Values of the partial derivatives under these conditions are
∂g
∂T
= −0.135 days per degree centigrade,
and
∂g
∂P
= −1.643 days per megapascal.
What would the approximate germination time be if the temperature was changed to 24.5 degrees centigrade, while keeping the water potential at −0.5 megapascals? (Give your answer correct to at least three decimal places.)