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 20 degrees centigrade and the water potential is −1.5 megapascals, the germination time is 5.150 days. Values of the partial derivatives under these conditions are

∂g

∂T

= −0.515 days per degree centigrade,

∂g

∂P

= −2.500 days per megapascal.

What would the approximate germination time be if the water potential was changed to −1.2 megapascals, while keeping the temperature at 20 degrees centigrade? (Give your answer correct to at least three decimal places.) Incorrect:

_____days

What would the approximate germination time be if the temperature was changed to 20.25 degrees centigrade and the water potential was changed to −1.2 megapascals? (Give your answer correct to at least three decimal places.)

_______days

Answer 1

In this problem we will solve the problem using the formula as

g(T,P)=g(in days)+(dg/dT)*(Diff in temperature)+(dg/dP)*(Diff in water potential)
germi nation tineg→ Measured in da Woter poteutiol measd pascals 2 at 2.5 days per mega pascal 2 つP onimate germi naion ime Lette wtog Potentiol ns Chonged to -.2 wslile keepig the toprtre at 0°c, is mega pascals, -1.2 MPas こ 5.ISo days-0.15 days