Question

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 15 degrees centigrade and the water potential is −2.5 megapascals, the germination time is 19.375 days. Values of the partial derivatives under these conditions are

∂g

∂T

= −4.844 days per degree centigrade, and

∂g

∂P

= −6.250 days per megapascal.

What would the approximate germination time be if the temperature was changed to 15.5 degrees centigrade, while keeping the water potential at −2.5 megapascals? (Give your answer correct to at least three decimal places.)
=days

What would the approximate germination time be if the water potential was changed to −2.3 megapascals, while keeping the temperature at 15 degrees centigrade? (Give your answer correct to at least three decimal places.)
=days

What would the approximate germination time be if the temperature was changed to 15.5 degrees centigrade and the water potential was changed to −2.3 megapascals? (Give your answer correct to at least three decimal places.)
=days

Answer 1