The energy cost of a bird flight as a function of body weightis given by: e=429w^-0.35 where w is the weight of the bird in g and e is the energyexpenditure in cal/g/hr. suppose that the weight of a bird weighing10 g is increasing at a rate of 0.001 g/hr. find the rate at whichthe energy expenditure is changing with respect to time.

The rate at whichthe energy expenditure is changing with respect to time is -0.00671 cal/g/hr².

Step-by-step explanation:

We know that:

In this case we have to apply the the Chain Rule to derive the functions.

We want to to know the rate of change of the energy expenditure E with respect to time (dE/dT).

Applying the chain rule:

We have to calculate dE/dw

Then

The rate at whichthe energy expenditure is changing with respect to time is -0.00671 cal/g/hr².

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step-by-step explanation:

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