The energy expended by a species of bird during flight is modeled by the functio

Question

The energy expended by a species of bird during flight is modeled by the function 0.075(v- 33)2+20] where V is the bird's velocity (km/h). Assume at one point in time (say0) in its flight, a bird's velocity is 22 km/hour and its velocity is increasing at a rate of 2 km/hour2. Find the instantaneous rate of change of this bird's energy use at t = 0 your answer. Round your answer to three decimal places Be sure to identify the correct units for = 0.25 calories per kilometer per hour instantaneous rate of change the tolerance is +/-2%

Explanation / Answer

E(V) =[0.075(v-33)²+20]/v

Find derivative with respect to time as

dE/dt = (0.075 -101.675/v²) *dv/dt

Given , dE/dt = 2 and v= 22

dE/dt = -0.135072 * 2

= -0.270144 [ Round it as needed] calories per km per hour

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