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.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.